Answer:
y = -3
Step-by-step explanation:
We are given an equation of the line, x=9.
And we want to write another equation of the line that is perpendicular to x=9 and passes through (-6, -3).
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept. Standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b cannot be 0, while a also cannot be negative.Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a point.Any one of these forms would work, but let's use slope-intercept form, as it is the most common way to write the equation of the line.
Perpendicular lines have slopes that multiply to get -1. They are also considered negative and reciprocal. For example, 5 and -1/5 would be the slopes of perpendicular lines.
So, let's find the slope of x=9.
If a line is written like x=9, it means that when it is graphed, it will be a vertical line, and a vertical line has an undefined slope.
As you may know, [tex]\frac{1}{0}[/tex] is also considered to be undefined. This means that the slope of this vertical line can be written as [tex]\frac{1}{0}[/tex].
Now, let's get the reciprocal of this slope (put the value of the numerator on the denominator and vice versa), then add a minus sign after it.
[tex]\frac{1}{0}[/tex] => [tex]-\frac{0}{1}[/tex] => 0
The slope of the line we're writing is 0.
We can replace m in y=mx+b with 0.
y = 0x + b
Now we need to find b.
As the equation passes through the point (-6,-3), we can use its values to help solve for b.
Substitute -6 as x and -3 as y in the equation.
-3 = 0(-6) + b
Multiply.
-3 = b
Replace b with -3 in the equation.
y = 0x - 3
This can also be written as:
y = -3
-20=4x-6x
solve equation
Answer:
X=10
Step-by-step explanation:
-20=4x-6x
4x-6x=-20
[tex]\frac{-2x}{-2} =\frac{-20}{-2}[/tex]
X=10
Answer:
x = 10
Step-by-step explanation:
STEPS FOR SOLVING LINEAR EQUATION
−20=4x−6x
Combine 4x and −6x to get −2x.
−20=−2x
Swap sides so that all variable terms are on the left hand side.
−2x=−20
Divide both sides by −2.
x=
−2
−20
Divide −20 by −2 to get 10.
x=10
inspection of a random sample of 25 aircraft showed that 17 needed repairs to fix a wiring problem that might compromise safety. (a) how large a sample would be needed to estimate the true proportion of jets with the wiring problem, with 90 percent confidence and an error of ± 5 percent?
The random sample proportion.
Probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.
at 90% confidence interval: The Central 90% of any normal distribution is: Z_(α/2) = 1.960
Error = E = ±5% = ±0.05
Applying the normal Probability distribution
= 0.70 ≤ P≤ 0.77(this means that we are 90% confident that the true proportion of jet with wiring problem fall with 0.70 and 0.77, hence there is no need for the airline to conduct further sampling, rather, they should just inspect all the planes)
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Mariana is younger than yaritza. their ages are consecutive odd integers. find mariana's age if the sum of mariana's age and 5 times yaritza's age is 100.
Translating the given word problem into a set of linear equations, Mariana's age is 15 years old.
Translate the given word problem into algebraic equations.
Let x be Mariana's age
Let y be Yaritza's age
Mariana is younger than Yaritza, their ages are consecutive odd integers.
Since the difference of consecutive odd integers is 2, then:
y = x + 2 ....... (1)
Sum of Mariana's age and 5 times Yaritza's age is 100.
x + 5y = 100 ..... (2)
Substitute equation (1) to equation (2)
x + 5y = 100
x + 5(x+2) = 100
6x + 10 = 100
6x = 90
x = 15
Thus, Mariana's age is 15 years old.
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Answer:
15
Step-by-step explanation:
i just got it right on delta
a charity benefit is attended by 25 people and three gift certificates are given away as door prizes: one gift certificate is in the amount of $100, the second is worth $25 and the third is worth $10. assuming that no person receives more than one prize, how many different ways can the three gift certificates be awarded?
Number of ways that the three gift certificates can be awarded = 13800 ways
There are a total of 25 people attended the charity benefit. There are three gift certificates: one gift certificate is in the amount of $100, the second is worth $25 and the third is worth $10.
Assume that no person receives more than one prize.
One of the 25 people can get gift certificate of $100.
⇒ 25 ways for $100 gift certificate.
Then remaining 24 people are considered for further counting.
One of the 24 people can get gift certificate of $25.
⇒ 24 ways for $25 gift certificate.
Now there are 23 people remained.
One of the 23 people can get the $10 gift certificate.
⇒ 23 ways for $10 gift certificate.
Therefore, Number of ways that the three gift certificates can be awarded = 25 x 24 x 23 = 13800 ways.
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At a grocery store, a customer pays a total of $9.70 for 1.8 pounds of potato salad and 1.4pounds of coleslaw. another customer pays a total of $6.55 for 1 pound of potato salad and 1.2pounds of coleslaw. how much do 2 pounds of potato salad and 2 pounds of coleslaw cost?
delroy is going to a dog adoption day at his local animal shelter. he wants to make 4 batches of dog biscuits for the dogs. it takes 1 3of a cup of margarine to make a batch. how many cups of margarine will he need?
4/3 cups of margarine will he need to make 4 batches of dog biscuits.
What is a fraction in math?A fraction is a piece of the entire. The number is shown as a quotient in mathematics, in which the numerator and denominator are split. Both are integers in a straightforward fraction. The numerator, as well as the denominator of a complex fraction, as well as the denominator of a complex portion, is a fraction.
What is a whole number in math?Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The inverses of corresponding positive numbers, which are additive, are the negative numbers. The blackboard bold math b Z or boldface Z is a common way to represent the set of integers in mathematical terminology.
According to the given information:There are four batches of dog biscuits.
Making a batch requires 1/3 cup of margarine.
As we can see that for 1 batch of dog biscuits required 1/3 cup of margarine.
So to make 4 batches of dog biscuits:
= (1/3)*4
= 4/3
4/3 cups of margarine will he need to make 4 batches of dog biscuits.
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A family is polled to see the mean of the number of hours per day the television set is on. The results, starting with Sunday, are 5, 2, 1, 2, 1, 2, and 6 hours. What is the average number of hours the family had the television set on to the nearest whole number?
The average number of hours the family had the television set on is 3 hours.
What is the average number of hours?The average of a set of numbers is calculated by adding the numbers together and dividing it by the total number. Average is also known as mean. Average is a measure of central tendency. Other measures of central tendency are mode and median.
Average = sum of the numbers / total number
Average = (5 + 2 + 1 + 2 + 1 + 2 + 6) / 7 =
19 / 7 = 2.714 hours
To round off a number to the nearest whole number, if the tenth digit is equal to 5 or greater than five, add one to the units digit. If this is not the case, the unit digit remain unchanged. In both cases, the tenth digit is replaced with o.
Because the tenth digit in 2.714 is greater than 5, the number becomes 3 hours.
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solve the compound inequality 2x<4x-5<15
The answer of the given inequality is 5/2<x<5
To solve this given inequality we need to 1st understand what is inequality then we will be easily able to solve this sum.
It is a relationship between inequal values. the word inequality means not equal. to compare the values whether it is less or greater than then different inequalities are used. We can easily identify when an equation is called an inequality equation when we will see the sign ≤ , ≥ ,< ,>. This sign means that the expression is an inequality.
Here in the sum we will be solving the equation in two parts in the 1st part we will be taking the part 2x<4x-5 and in the 2nd part we wil take the equation 4x-5<15
On solving the 1st part :
∴ 2x<4x-5
=> 2x-4x<-5
=> -2x<-5
=> 2x>5 [Multiplying boyh sides by minus sign]
=> x>5/2
On solving the 2nd part :
∴ 4x-5<15
=> 4x<15+5
=> 4x<20
=> x<5
So on solving the inequality we got that 5/2<x<5
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If segment RS has endpoint R(5,1) and midpoint M(1,4), what will be point S?
Answer:
S(-3,7)
Step-by-step explanation:
Rise/Run
M(1,4) R(5,1)
1+run=5 4+rise=1
run=4 rise= -3
1-4= -3 4+3=7
which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x)?vertical translationhorizontal translationreflection over the x-axisreflection over the y-axis
The type of transformation that preserves the symmetry is Vertical translation.
For instance, a parabola is still symmetric about the y-axis if you move it up. It loses its symmetry if you move it to the left or right. Reflection keeps both even and odd functions symmetrical.
What is the difference between even and odd function ?The symmetry of a function is described using the terms even and odd. On a graph, an even function is symmetric about the y-axis. An odd function has symmetric behavior around a graph's origin [tex](0, 0)[/tex]. This means that if you rotate an odd function 180 degrees around the origin, the function you started with will still exist.
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Please help!! I don't know what I'm doing
answer:
1/5^2
=
1/25
step-by-step
1) 5^5/5^7=
5*5*5*5*5
-------------------
5*5*5*5*5*5*5
2) aka
1/5^2= 1/25 (.04)
Which quadratic inequality does the graph below represent?
Oy≤2x²-8x+3
O y≥ 2x² +8x+3
Oy≤2x²-8x-3
2 3 4 5 6 x
Answer:
A. y≤2x²-8x+3
Step-by-step explanation:
If you graph the function y≤2x²-8x+3, you would see that these both match.
The inequality y ≤ 2x² - 8x + 3 represents the given graph.
What is Inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Here, The y-intercept is 3, not -3, so answer C is eliminated
Choose a point that is clearly in the shaded area or one that is clearly in the unshaded region
Here, I choose the point (0, 0) and substituted these values in the equation and since 0 < 3,
Option A is the correct answer
Thus, the inequality y ≤ 2x² - 8x + 3 represents the given graph.
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se repartio 8 qintos de bizcocho entre 4 ninos Que parte dl bizcocho recibio cada uno
Answer:
Step-by-step explanation:
Es de dividir 8/5 entre los 4 niños, tipo:
8/5 ÷ 1/4 =8/20 esto sale de multiplicar 8x1 y 4x5 debido a que cuando divides fracciones, se multiplican los factores.
Luego 8/20 se simplifica dividiendo todo por 4 y queda 2/5 que es el resultado.
Respuesta: Cada niño comió 2/5
Espero te sirva!
laura measured a picnic area near the river and made a scale drawing. the scale she used was 3 inches : 2 yards. if the picnic area is 90 inches wide in the drawing, how wide is the actual picnic area?
The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.
Let the actual width of the picnic area be x yards.
According to the given question.
Laura measured a picnic area near the river and made a scale drawing.
The scale she used was 3 inches : 2 yards.
⇒ The scale is 3 inches : 2 yards
The width of the picnic area in the drawing is 90 inches.
As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.
Thereofore, the acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards is given by
3inches : 2 yards = 90inches : x
⇒ 3x = 180
⇒ x = 60yards
The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.
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One of the main financial services that is provided by a bank involves offering accounts where people can safely store their money for a period of time, all the while earning interest and being protected by insurance. What is this common financial service called? A. payment services B. savings C. loans D. financial planning
Banks are known to carry out different functions. The common financial service called savings.
Financial services is known to be a very wide term that comprises of all of the activities such as banking, investing, and insurance.
Financial services by banks includes savings, investment, etc. Savings is thee process whereby bank helps to keep the money of its customers. It is known to be the most common services offered by banks.
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Can someone please help mee (20 points
brainliest!!!)
Answer:
i hope this is the answer
Step-by-step explanation:
I’m so confused please help!!
Answer:
(3,1)
Step-by-step explanation:
Y axis = Arrow that goes up and Down
X axis = Arrow that goes from left to right
To find point J, you have to go up 3 on the Y axis.
Then, go to the right once.
now that your on point J, you have to write the coordinates.
(Y axis, X axis) = (3,1)
the scores on a statistics test had a mean of 81 and a standard deviation of 9. one student was absent on the test day, and his score wasn’t included in the calculation. if his score of 84 was added to the distribution of scores, what would happen to the mean and standard deviation?
Considering the concepts of the mean and the standard deviation, we have that:
The mean would increase.The standard deviation would remain constant.What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.When the measure of 84 is added, we have that:
A measure greater than the mean is added, hence the mean would increase.The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.More can be learned about the mean and the standard deviation of a data-set at https://brainly.com/question/26941429
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i need help with this
if you could send a picture that would be great
The value of input are {1, 2, 3, 4, 5}.
The value of output are {4, 5}.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
The points are given as;
{(1, 5) , (2, 4) , (3, 5) , (3, 4) , (4, 4) , (5, 5)}
Now, All points are shown in graph.
Clearly, The input of points are,
x = {1, 2, 3, 4, 5}.
And, The output of points are,
y = {4, 5}
So, The value of input are {1, 2, 3, 4, 5}.
The value of output are {4, 5}.
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I need help asap!!!!
Answer:
Step-by-step explanation:
You multiply the weight per gallon by the number of gallons, which is 3205.
So, 8.34 x 3205
writing and graphing linear equations glass art
The graph of Linear Equation is always a straight line .
Hugo grapes triangle PQR and (Rt*T<3,1>)(truabgle PQR), where the equation of the line t is y=2, made exactly one error. Explain Hugo’s error
The Hugo's error is that , he did the translation incorrectly. He should have translated triangle by 3 unit right and then 1 unit up.
What is a triangle?In geometry, a triangle is defined as the shape which has three sides and also has three angles. We can say that a triangle is a type of polygon with three sides and three vertex. Triangle follows angle sum theorem.
Triangle Angle-Sum TheoremAccording to triangle Angle Sum theorem, the measurement of the sum of all interior angles of a triangle is always equals to 180°. That means, For a given triangle say ΔABC if ∠A, ∠B and ∠C are the interior angles then their sum i.e. ∠A + ∠B + ∠C = 180°.
Some important formula of triangles:
Area of triangle = 1/2 . base .heightPerimeter of triangle = sum of side lengthsNumber of vertices = 3Number of edges = 3In the question given,
the equation of line is y=2
The Hugo's error is that , he did the translation incorrectly. He should have translated triangle by 3 unit right and then 1 unit up.
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The complete question is :
Hugo grapes triangle PQR and (Rt*T<3,1>)(Δ PQR), where the equation of the line t is y=2, made exactly one error. Explain Hugo’s error.
Tony is making a tiered cake for a party. He use 9 cups of butter from the refrigerator to make 4 cakes. We want to find how butter he needs to put in each cake. This situation can be represented by the expression -9 divided by 4. Find the solution, and explain what it means in the context of the problem.
The amount of butter that Tony needs to put in each cake will be 2.25 cups.
How to illustrate the information?From the information, Tony is making a tiered cake for a party and he use 9 cups of butter from the refrigerator to make 4 cakes.
The amount of butter that he needs to put in each cake will be:.
= Number if cups / Number of cakes
= 9 / 4.
= 2.25 cups
Therefore, the amount of butter that Tony needs to put in each cake will be 2.25 cups.
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dimetri says that a function that is made of terms where the variable is raised only to an odd power will be an odd function. do you agree with dimetr
The given function is not the odd function.
According to the statement
We have to find about the odd function.
So, For this purpose, we know that the
The odd function is that the function f is odd if the subsequent equation holds for all x and −x within the domain of f : −f(x)=f(−x) − f ( x ) = f ( − x ) Geometrically, the graph of an odd function has rotational symmetry with relevance the origin, meaning that its graph remains unchanged after a rotation of 180∘ about the origin.
From the given information:
dimetri says that a function that's fabricated from terms where the variable is raised only to an odd power are going to be an odd function
Then
Algebraically, an odd function is one where f(-x) = -f(x). this suggests that if we substitute -x for each x within the function, it should be the identical as switching every sign up the function. This doesn't always work.
For example, if f(x)=x³+7:
f(-x)=(-x)³+7=-x³+7.
However, since the 7 did not become -7, it is not the same as -f(x), so it is not an odd function.
So, The given function is not the odd function.
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π x 910(10)
PLEAS ENEMOPOEJDHE HELP
Answer:
The correct is the 9100πx
researchers are investigating whether taking aspirin regularly reduces the risk of heart attacks. four hundred men participate in the study. the men are divided randomly into two groups: one group takes aspirin pills, and the other group takes placebo pills (a pill with no aspirin in it). the men each take one pill a day, and they do not know which group they are in. at the end of the study, researchers will count the number of men in each group who have had heart attacks. identify the explanatory and response variables in this situation.
Explanatory variable: The type of pill the men took each day.
Response variable: Whether a subject had a heart attack.
We have been given that :
Participated candidates are 400
Men are divided randomly so we find out explanatory and response variable.
The explanatory variable is the variable that is manipulated by the researcher. Explanatory Variable also known as the independent or predictor variable, it explains variations in the response variable; in an experimental study, it is manipulated by the researcher.
Response variable: Response Variable is the result of the experiment where the explanatory variable is manipulated. It is a factor whose variation is explained by the other factors. Response Variable is often referred to as the Dependent Variable or the Outcome Variable.
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$600 son repartidos entre 3 amigos en la razón (2w + 3) : (w + 2) : (3w + 4), en donde w es un número positivo.
a) Si la menor parte es $125, forma una ecuación en términos de w y resuélvelo.
b) Luego, expresa la razón en la forma más simple.
c) Los 3 amigos deciden donar $50 cada uno a una caridad. Determina la razón de sus partes luego de la donación
The equation will be (2w ,+ 3) + (w + 2) + (3w + 4) = 600
The ratio in lowest term will be 2:1:3
When they donate $50, the ratio will be 1:4.
How to calculate the value?a. The equation based on the information will be:
(2w + 3) + (w + 2) + (3w + 4) = 600
6w + 9 = 600
6w = 600 - 9
6w = 591
Divide
w = 591/6
w = 98.5
b. Therefore, (2w + 3) = 2×98.5 + 3 = 200
(w + 2) = 98.5 + 2 = 100.5
(3w + 4) = 3(98.5) + 4 = 299.5
The ratio in lowest term will be 2:1:3.
c. When they donate $50, the ratio will be:
= (50 × 3)/600
= 150/600
= 1:4
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In 40 minutes; diane walks 2.5 miles and sue walks 1.5 miles. in miles per hour , how much diane walking?
Answer:
3.75 miles per hour
Step-by-step explanation:
Diane is walking 2.5 miles in 40 minutes.
2.5/40 = 0.0625 miles per minute
There are 60 minutes in an hour.
0.0625 * 60 = 3.75
Diane is walking at a speed of 3.75 miles per hour.
Here, we have to calculate the walking speed of Diane in miles per hour, we need to convert the time from minutes to hours since the walking distance is given in miles.
Diane walks 2.5 miles in 40 minutes.
To convert 40 minutes to hours, we divide by 60 (since there are 60 minutes in an hour):
40 minutes ÷ 60 = 2/3 hours
Now, we can calculate Diane's walking speed (or rate) in miles per hour:
Diane's walking speed = Distance / Time
Diane's walking speed = 2.5 miles / (2/3) hours
To divide by a fraction, we can multiply by its reciprocal:
Diane's walking speed = 2.5 miles * (3/2) hours
Now, simplify:
Diane's walking speed = 7.5 miles / 2 hours
Finally, divide:
Diane's walking speed = 3.75 miles per hour
So, Diane is walking at a speed of 3.75 miles per hour.
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What is the answer for this and why? Show work
Answer: (-4.5,-3)
Step-by-step explanation:
(-9,-2) (9,-6) 1:3
[tex]\displaystyle\\\boxed {x=\frac{x_1+\lambda x_2}{1+ \lambda} \ \ \ \ \ \ y=\frac{y_1+\lambda y_2}{1+\lambda} }[/tex]
[tex]\displaystyle\\x_1=-9\ \ \ \ x_2=9\ \ \ \ \ y_1=-2\ \ \ \ \ \ y_2=-6\ \ \ \ \ \lambda=1:3=\frac{1}{3} \\\\x=\frac{-9+(\frac{1}{3})(9) }{1+\frac{1}{3} } \\\\x=\frac{-9+3}{\frac{(1)(3)+1}{3} } \\\\x=\frac{-6}{\frac{3+1}{3} } \\\\x=\frac{(-6)(3)}{4} \\\\x=\frac{-18}{4}\\\\x=-4.5 \\\\y=\frac{-2+(\frac{1}{3} )(-6)}{1+\frac{1}{3} } \\\\y=\frac{-2+(-2)}{\frac{4}{3} } \\\\y=\frac{(-4)(3)}{4} \\\\y=-3\\Thus,(-4.5,-3)[/tex]
use long divison to find the quotient below (4x^ - 7x - 2) / (x-2)
The quotient of the expression is 4x+1.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined
Given:
The expression is
[tex](4x^{2} - 7x - 2) / (x-2)[/tex]
By long division method the following steps are :
Divide the tens column dividend by the divisor. Then Multiply the divisor by the quotient in the tens place column ,Subtract the product from the divisor then at last Bring down the dividend in the ones column and repeat.
We have to find the quotient of the expression.
According to given question we have
[tex](4x^{2} - 7x - 2) / (x-2)\\\\=(x-2)(4x+1)/(x-2)\\\\=4x+1[/tex]
Therefore, the quotient of the expression is 4x+1.
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