An equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2) is y = 3x - 5.
How to determine an equation of this line?Mathematically, the standard form of the equation of a straight line (slope-intercept form) is given by this mathematical expression;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.From the information provided, we have the following points on line g:
Point = (-3, 6)
Point = (0, 5)
Next, we would determine the slope of line g as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (5 - 6)/(0 - (-3))
Slope, m = -1/3
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
-1/3 × m₂ = -1
m₂ = 3
At point (1, -2), an equation of this line can be calculated in slope-intercept form as follows:
y - y₁ = m(x - x₁)
y - (-2) = 3(x - 1)
y + 2 = 3x - 3
y = 3x - 3 - 2
y = 3x - 5
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Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.
negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714
The equation that corresponds to fraction [tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex] is [tex]\frac{1}{7^{14} }[/tex] . A phrase by itself could contain an action .
what is expression ?It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression: (Math Operator, Number/Variable, Math Operator). A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence.
given
[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )} \\= \frac{1}{7^{4} } *\frac{1}{7^{10} } * 1\\= \frac{1}{7^{14} }[/tex]
The equation that corresponds to fraction [tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex] is [tex]\frac{1}{7^{14} }[/tex] .
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Sketch the Asymptotes and graph the function.
the quadratic equation have been solved and the required graph is attached below.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
The equation:
[tex]\frac{x^{2}-7x+12 }{x^{2} -1}[/tex]
Its a quadratic equation in both numerator and denominator, by dividing the x² will be get a graph as given in the attached file.
Hence, the quadratic equation will be solved and the required graph is attached below.
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Dan is training his puppy, Lola, to sit. Dan holds a treat 5 feet above the ground until Lola
sits. As soon as she does, he drops the treat, and Lola catches it in her mouth 1.5 feet above
the ground.
To the nearest tenth of a second, how long does the treat fall before Lola catches it?
Hint: Use the formula h = -16t² + s.
The distance the treat falls before Lola catches the treat is 3.5 feet.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The distance of the treat from the ground = 5 feet.
The distance the dog jumps to catch the treat from the ground = 1.5 feet.
Now,
The distance the treat fall before Lola catches.
= 5 - 1.5
= 3.5 feet
Thus,
The treat falls for 3.5 feet.
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The student council is responsible for setting up the tables for
an awards banquet at the end of the year.
There are 144 people
who confirmed that they would attend the banquet.
The equation
8x +12y = 144 models this situation, where x is the number of
circular tables and y is the number of rectangular tables.
Find the x- and y-intercepts.
On solving the provided question, we can say that - here in the slope intercept [tex]2y / 2 = -4x /2 + 24 / 2 = > y = -2x + 12\\[/tex]
what is slope intercept?The point on the y-axis where the slope of the line passes is known as the intersection point in mathematics. the location on a line or curve where the y-axis crosses that point. This is demonstrated by putting y = mx+c as the equation for the straight line, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the slope (m) and y-intercept (b) of the line are highlighted. The slope is m, and the y-intercept is b for equations in the intercept form (y=mx+b). Additionally, certain equations may be recast to seem like slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope becomes 1 and the y-intercept becomes 0.
y = mx + c
m = slope, c = y-intercept
[tex]4x + 2y = 24\\2y = -4x + 24\\2y / 2 = -4x /2 + 24 / 2\\y = -2x + 12\\[/tex]
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There is a 3 out of 20 chance that you can win a game. How many "wins" would you predict if you played the game 50 times? (NO LINKS OR FILE PLEASE, I WILL REPORT)
A 3
B 6
C 17
D 8
Answer:
D. 8
Step-by-step explanation:
set up a proportion
3/20 = x/50
to get from 20 to 50 you have to multiply by 2.5
so multiply the top number (3) by 2.5 to find x
this comes out to 7.5 which you then round up to 8
Answer:
D
Step-by-step explanation:
A survey was taken asking how many siblings students had.
. . . .
0
1
2
3
4
Number of Siblings
Based on the dot plot, find the median and interquartile
range.
Answer:
MEDIAN: 3 IRQ (Interquartile Range): 2
Step-by-step explanation:
To find median, divide the number of data points by 2 (5/2) and round to the nearest whole. So, 5/2 = 2.5 rounded to nearest integer, is 3.
To find the interquartile range, subtract Q1 (1) from Q3 (3) which equals 2.
I hope dis right!!
For an outdoor concert by the city orchestra, concert organizers estimate that 17,000 people will attend if it is not raining. If it is raining, concert organizers estimate that 6000 people will attend. On the day of the concert, meteorologists predict a 70% chance of rain.
Determine the expected number of people who will attend this concert.
It is expected that _ people will attend the concert.
Answer: 11,900
Step-by-step explanation: Uh I think this is correct because 70% of the people who will not go to the concert will be 11,900. So 70% of 17,000 is is 11,900. 6,000 is a estimate. I hope this helps
The radius of a circle is 8 miles. What is the area of a sector bounded by a 45° arc in
terms of ?
a. 64 miles
b. 4 miles
c. 8 miles
d. 512 miles
Answer:
[tex]8\pi\text{ mi}^2[/tex]
Step-by-step explanation:
The area of a full circle is [tex]A = \pi r^2[/tex] where r is the radius.
The area of the circle in this problem is [tex]A=\pi(8)^2=64\pi[/tex].
A 45 degree central angle (that's how arcs are measured) accounts for 1/8 of the circle (because it's 45 degrees out of a full circle of 360 degrees, and 45/360 = 1/8).
The area of the sector is [tex]\frac{1}{8}(64\pi)=8\pi[/tex] square miles
Fill in the blank to make equivalent rational expressions.
Answer:
Step-by-step explanation:
a.we should Make their denominators the same.
16[tex]x^{8}[/tex]÷4x=4[tex]x^{7}[/tex]
b.molecule multiply 4[tex]x^{7}[/tex], 5·4[tex]x^{7}[/tex]=20[tex]x^{7}[/tex]
c.finally, we get it
the answer is 20[tex]x^{7}[/tex]
A piece of hematite contains 72% iron. If the hematite weighed 160g, how much iron would there be?
Step-by-step explanation:
160g=100%
72%=72/160*100
=45
Is a student takes out a $750 loan at 4% interest, how much interest is paid back in 60 days
Answer:
754.93 in total with an increase of 4.93
Step-by-step explanation:
Find the reference angle for 342°.
Answer:
18 degree
Step-by-step explanation:
DUE SOON! PLEASE HELP!
SHOW ME HOW TO GET IT FOR NEXT TIME! SO CONFUSED AND BEEN STUCK FOREVER PLEASE HELP!
QUESTION DOWN BELOW!
The value of m in the given equation 4x² -mx +9 will be 13.
What is polynomia?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
given an equation 4x² -mx + 9 = 0 and the question states that it has a root that is equal to 1
Since 1 is the root of this quadratic equation it will satisfy the equation
Substituting the values in the equation
4 - m + 9 = 0
m = 13
Therefore, In the given equation 4x² -mx +9 the value of m will be 13.
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7.89 divided by 2 step by step
Answer:
3.945
Step-by-step explanation:
The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?
A. 4 cm and 5cm
B 5cm and 6 cm
C. 6 cm and 7 cm
D. 7 cm and 8 cm
Step-by-step explanation:
The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?
A. 4 cm and 5cm
B 5cm and 6 cm
C. 6 cm and 7 cm
D. 7 cm and 8 cm
ans.C
What is the equation of the line that passes through the point (6,-5) and has a
slope of 1/3?
Answer:
y = 1/3x - 7
Step-by-step explanation:
start with the point-slope form:
(y-y1) = m(x-x1)
substitute the values of (x,y) into the formula:
(y-(-5)) = 1/3(x-6)
y+5 = 1/3x - 2
now write in slope-intercept form:
y = 1/3x - 2 - 5
y = 1/3x - 7
Andre drank 1.5 liters of water he brought. If he drank 80% of his entire hike, how much did he drink?
(please do explanation)
Answer:
He drank 1.2 liters
Step-by-step explanation:
1.5 X 0.8 (80%) = 1.2
Also the dude below also took my points when i asked a question :)
Use the information provided to write the standard form equation of each ellipse.
Vertices: (20,5) (-6, 5)
Co-Vertices: (7, 10) (7,0)
O (1-7)
+
(7-5)
25
=1
169
O (2+6)
169
+
(y+6)
25
1
(1-7)
+
= 1
25
169
(2-7)
(y-5)
+
= 1
81
25
Answer:
B
Step-by-step explanation:
You buy 8.25 ounces of almonds and 7.5 ounces of cashews. You combine the nuts and divide them equally into 9 bags. How many ounces are in
each bag?
Options:
1.75 ounces
9.5 ounces
15.5 ounces
17.5 ounces
No. of many ounces are in each bag will be 1.75 ounces
What is the division of decimals?Unlike the division of natural numbers, the division of decimals is fairly straightforward. To divide decimal numbers by various sorts of numbers, such as whole numbers, decimal numbers, fractions, the powers of ten, etc., we can employ a variety of techniques. You may find answers to division of decimals quizzes and more practise problems in this article.
Dividing decimals is equivalent to dividing whole numbers, except when doing so, we take into account the decimal point as the final answer. The following are many options for splitting decimals:
Dividing by whole numbers with decimalsA decimal number divided by another decimal numberDecimal division using the powers of 10, specifically 10, 100, and 1000To be learn more about decimals refer to:
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Someone help me please show work
is this about time.................
find the measure of angle x
Answer:
103+37=X
X=140 is the answer
3)
There are 27 coins in a bag made up of 20-cents and 50-cents. Given that
the total amount in the bag is $10.20, how many 20-cent coins are there in
the bag?
Answer:
A bag contains 25paise, 50 paise and Re 1 coins. There are 220 coins in all and the total amount in the bag is Rs.160. If there are thrice as many 1 Re. coins as there are 25 paise coins, then what is the number of 50 paise coins.
Step-by-step explanation:
Hello! Can you please help me on this math problem? =)
Find the area of the composite shape. Use 3.14 for π and round to the nearest hundredth.
Answer:
95.52
Step-by-step explanation:
[tex]\frac{13*6}{2} <= The area of the triangle\\6 = radius\\(6^{2} )* 3.14\\\frac{113.04}{2} +39\\95.52[/tex]
Rewrite the following without an exponent. 1/4^-4
Answer:
[tex]\frac{1}{4^{-4}} = 256[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4^{-4}}[/tex]
Required
Write without the exponent
[tex]\frac{1}{4^{-4}}[/tex]
Apply the following law of indices
[tex]\frac{1}{a^m} = a^{-m}[/tex]
So, we have:
[tex]\frac{1}{4^{-4}} = 4^{-(-4)}[/tex]
Evaluate the bracket
[tex]\frac{1}{4^{-4}} = 4^4[/tex]
[tex]\frac{1}{4^{-4}} = 256[/tex]
State the domain and range of the following function.
Answer:
Step-by-step explanation:
ur STUP1d
why does the dolphins are said the biggest animals of sea
Answer:
They are not. Blue whales are.
Step-by-step explanation:
Which is the sum of the 2 smallest angles in a right triangle?
O A. 30 degrees
OB. 45 degrees
O c. 90 degrees
O D. 180 degrees
O E. 360 degrees
The sum of the 2 smallest angles in a right angled triangle be [tex]90^{0}[/tex].
What is angle sum property of triangle?"The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º."
What is right angled triangle?"A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle."
As we know the sum of the three angles of a right angled triangle is 180 degrees.
<A + <B + <C = [tex]180^{0}[/tex]
We also know the right angled triangle have a 90 degrees angle among the three angles.
So the sum of the 2 smallest angles in a right angled triangle be
<A + <B + <C = [tex]180^{0}[/tex]
<A + <B = [tex]180^{0}[/tex] - <C
<A + <B = [tex]180^{0}-90^{0}[/tex]
<A + <B = [tex]90^{0}[/tex]
Hence, the sum of the 2 smallest angles in a right angled triangle be [tex]90^{0}[/tex].
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Triangle JKL has vertices J(6, -1), K(10,-2), and L(5, -3). Determine the
coordinates of the vertices of the image after a translation along (0,4)
and a reflection in the y-axis.
J''(-6, 3) , K''(-10, 2) , and L''(-5, 1) those exists the vertices after the transformations.
What is meant by coordinates of the vertices?[tex](x_1,y_1), (x_2,y_2),[/tex] and [tex](x_3,y_3)[/tex] are the coordinates of a triangle's vertices [tex](x_3,y_3)[/tex]. The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.
When you write coordinates as (x, y), it means to write the x-axis point first and then the y-axis point. Some kids might be instructed to remember this by saying "along the corridor, up the stairs," which means they should follow the x axis first and then the y axis.
First do the first transformation, the translation.
J (6, -1 + 4), K (10, -2 + 4), and L (5, -3 + 4).
After adding, we get J'(6, 3) , K'(10, 2) , and L'(5, 1).
We Utilize those new coordinates to do the reflection in the y axis.
J''(6(-1), 3) , K''(10(-1), 2) , and L''(5(-1), 1).
After multiplying, we get J''(-6, 3) , K''(-10, 2) , and L''(-5, 1).
Those exists the vertices after the transformations.
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J''(-6, 3) , K''(-10, 2) , and L''(-5, 1) those exists the vertices after the transformations.
What is meant by coordinates of the vertices?[tex](x_{1}, y_{1}), (x_{2}, y_{2}) and (x_{3}, y_{3})[/tex] are the coordinates of a triangle's vertices . The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.
When you write coordinates as (x, y), it means to write the x-axis point first and then the y-axis point. Some kids might be instructed to remember this by saying "along the corridor, up the stairs," which means they should follow the x axis first and then the y axis.
First do the first transformation, the translation.
J (6, -1 + 4), K (10, -2 + 4), and L (5, -3 + 4).
After adding, we get J'(6, 3) , K'(10, 2) , and L'(5, 1).
We Utilize those new coordinates to do the reflection in the y axis.
J''(6(-1), 3) , K''(10(-1), 2) , and L''(5(-1), 1).
After multiplying, we get J''(-6, 3) , K''(-10, 2) , and L''(-5, 1).
Those exists the vertices after the transformations.
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ADC is a triangle
AED and ABC are straight lines
EB is parallel to DC
Angle EBC = 148
Angle ADC = 63
Work out the size of angle EAB
Answer:
Angles EAB = 85 degrees
Step-by-step explanation:
This my answer with the working steps...
Nathan and Lucy are selling blueberry and apple pies for a fundraiser. Nathan sold and 13 apple pies for a total of $147. Lucy sold 7 blueberry pies and 11 apple $204. What is the cost of one blueberry pie and one blackberry pie?
The cost of one blueberry pie and one blackberry pie is $11.30 and $11.373 respectively.
What are mathematical operators?In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:
Operands: The numbers used in an operation are called operands. Depending on the type of operation, different terms are applied to the operands.
Given Nathan sold 13 apples pies for $147,
cost of 13 apple pies = $147
cost of 1 apple pie = 147/13 = $11.30
Lucy sold 7 blueberry pies and 11 apple pie $204.
7 blueberry + 11 apple pie = $204
cost of 11 apple pie = $124.384
cost of 7 blueberry = 204 - 124.384 = $79.615
cost of 1 blue berry = 79.615/7 = $11.373
Hence the cost of 1 apple pie is $11.30 and 1 blueberry is $11.373.
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