A line passes through (1, 3) and (4, 7). Which line would be perpendicular to this line?
a) y=-x+5
b) y=-x-2
c) y= 4x + 2
d) y=-4x-4
Answer: Any line with slope of -3/4
Reason:
Let's calculate the slope of the line through those two points
[tex](x_1,y_1) = (1,3) \text{ and } (x_2,y_2) = (4,7)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{7 - 3}{4 - 1}\\\\m = \frac{4}{3}\\\\[/tex]
The slope of the line is 4/3
Anything perpendicular to this has a slope of -3/4. I flipped the fraction and flipped the sign (from positive to negative).
So for example, the answer may be something like [tex]y = -\frac{3}{4}x+5[/tex] or [tex]y = -\frac{3}{4}x-2[/tex]. All that matters is the -3/4 out front of the x.
Side note: the original slope 4/3 and perpendicular slope -3/4 multiply to -1
HELP.........................! !
Answer:
[tex] \sf \large \: −6.23[/tex]
Step-by-step explanation:
2.67−8.9
=2.67+−8.9
=−6.23
what reason proves that angle 2 is congruent to angle 6?
Answer:
they are the same angular size. If you put them on top of each other it would be the same.
HELP ME PLEASE I AM SO CONFUSED
Answer:
19,,
Step-by-step explanation:
Mary and Julie are trying to raise $1000,mary raises $12 every 4 days, Julie raises $19 every six days.who reaches the goal first?explane
The person who first reaches the goal is Julie because she raise more than the amount Mary raise per day
Equation to determine who reaches the goal firstTheir goal = $1000Mary
Every 4 days = $12Amount by raised per day = $12/4= $3
Julie:
Every 6 days = $19Amount earned per day = $19 / 6= $3.17
Therefore, the person who reaches the goal first between Mary and Julie is Julie
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Zombies lose limbs. Mutants grow limbs. Mutant-zombies do both. Today, a certain mutant-zombie grew 555 limbs, lost 121212 limbs, and grew another 222 limbs.
There are -5 limbs does the mutant zombie has compared to yesterday in linear equation.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Now,
Based on the given conditions, we formulate;
5 - 12 + 2
Calculate the sum or difference = - 7 + 2 = -5
We get the result = -5
Therefore, There are -5 limbs does the mutant zombie has compared to yesterday.
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please look at picture this thing is due next day
Snail will have to travel shortest distance of (C) 11 cm
The shortest distance between vertex A and vertex B will be the line directly joining the two points. This line is called diagonal and is related with length, width and height by the formula -
Diagonal = ✓(l² + w² + h²), where l represents length, w represents width and h represents height. Keep the values in formula -
Diagonal = ✓(4² + 4² + 10²)
Taking square of the number
Diagonal = ✓(16 + 16 + 100)
Performing addition on Right Hand Side of the equation
Diagonal = ✓132
Taking square root
Diagonal = 11.49 cm
Therefore, the shortest distance needed to be travelled by snail is (C) 11 cm.
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The formula for simple interest is I=Prt. please help
a. Solve the formula for t.
t=
Answer:
I=Prt
I/Pr=Prt/Pr
t=I/Pr
What’s the answer? And write the steps on how you go the answer.
Answer:
it's a very easy question.
let the unknown point be x,y.
If the actual book is 9 inches wide. How tall is the actual book?
The height of the book is 18 inches tall.
How to calculate the height?The width of an image of a book shown on a website = 1.5 inches
The length of the book shown on the website = 3 inches
The actual width of the book = 9 inches
Scale of the book image = 1 inches = 6 inches
The actual heigth of the book:
= 3 × 6
= 18 inches.
The actual book is 9 inches wide and 18 inches tall.
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An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide
the triangles are similar
Find x
62+90+x=180
152+x=180
x=28
28
If the two tringles are similar they will have equal angles
and it is also right angle try angle this means we have two angles given
90,62
the mesurement of triangle is 180 so to find x we will
90+62+x=180
x=180-90+62
x=180-152
x=28
HELP WILL NAME BRAINLIEST
An airplane leaves Los Angeles and travels 5 hours to New York City. The return trip travels along the same route and takes 6 hours because the plane travels 99 mph slower due to a headwind. Find the distance the plane flies between the two cities.
Using the relation between velocity, distance and time, the distance of the plane ride between Los Angeles and New York is of 270 miles.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
For the Los Angeles to New York trip, we have that the time is of 5 hours, hence:
v = d/5.
v = 0.2d.
For the return trip, we have that the time is of 6 hours, while the velocity is 99 mph slower, hence:
v - 99 = d/6.
From the first equation, we have that:
v = 0.2d.
Replacing on the second:
0.2d - 99 = d/6.
d(0.2 + 1/6) = 99
0.3667d = 99
d = 99/0.3667
d = 270 miles.
The distance of the plane ride is of 270 miles.
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give at least one physical explanatgion for nay difference between the actuial number of beans in the container and theh number of beans determined by the expierment
The number of beans calculated by physical counting and by calculating the number of beans could always be different unless the bean in the jar is not identical.
Given that,
To give at least one physical explanation for nay difference between the actual number of beans in the container and the number of beans determined by the experiment.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let's assume we have 1 kg o bean in a jar but the weight of all the individual bean are not the same, that's why the number of bean in physical counting differs from the number of beans calculated from the calculation in an experiment,
Thus, the number of beans calculated by physical counting and by calculating the number of beans could always be different unless the bean in a jar is not identical.
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имеется 9 различных книг 4 из которых учебники. Сколькими способами можно расставить эти книги на полке так чтобы все учебники стояли рядом
Answer:
17280
Step-by-step explanation:
И для этих 4 книг, сложенных вместе, возможное расположение будет следующим: 4 х 3 х 2 х 1 = 24. Всего возможные способы расположения 9 книг будут: 720 х 24 = 17280.
How do you factor this equation
3n³+9n²-10n
Answer:
[tex]n(3n^2+9n-10)[/tex]
Step-by-step explanation:
Well you'll notice each of the components in the equation have a factor of "n". Each of them are being multiplied by at least one "n". This means we can factor out this "n" to get the following result: [tex]n(3n^2+9n-10)[/tex]
This is just the reverse of the distributive property: [tex](a+b)c=ac+bc[/tex] except you're going from ac + bc -> (a+b)c
ip a standard sheet of paper measures 8 1/2 by 11 inches. find the area of one such sheet of paper in
The area of the standard sheet of paper is 93 1/2 square inches.
The standard sheet of paper is a rectangle and to find its area, multiply the length by the width.
The area of the rectangle is the region enclosed by the perimeter of the rectangle and is equal to product of length and width.
If the standard sheet of paper has a length of 11 inches and a width of 8 1/2 inches, then:
A = l * w
A = 11 x 8 1/2
A = 93 1/2 square inches
Hence, the area of the standard sheet of paper is 93 1/2 square inches.
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The formula for the volume of a cylinder is
V
=
π
r
2
h
,
V=πr
2
h, where
r
r is the radius of the cylinder and
h
h is the height of the cylinder. Rewrite the formula to solve for
h
h in terms of
r
r and
V
.
V.
Greetings from Brasil...
V = πr²h - isolating h
h = V/πr²5. Charnita Jones earns $304.80 per week as a sales assistant. Next week she will be
promoted to assistant manager. She will then earn $332.50 per week. She is single
and claims 1 allowance. How much more will she pay in federal income tax?
Charnita Jones will have to pay $5 more in federal income tax.
According to the question we have been given that Charnita Jones
As sales assistant she earned = $304.80
After promotion as assistant manager she will earn = $332.50
Number of allowance she claims = 1
We need to find how much more she will pay in federal income tax.
For that we will first calculate how much she paid when her earning was $304.80. For this we will use the table for single persons-weekly payroll period. In that table, first we will choose the row of wages from the column number 1. We look to that row where $304.80 will lie that is the row will be $300-$310. then we will look for allowance that is 1. Thus the tax she will pay will be in column of allowance 1 and in the row of $300-$310 is $22.
In similar way we will find out the tax she will pay when she earn $332.50 which is $27.
Difference = $27 - $22 = $5
Hence she will have to pay $5 more in federal income tax.
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Let f (x) = -4+1 Write a function g whose graph is a reflection in the y-axis of the graph of f.
If the function is reflected across the y-axis of the graph of f, the resulting function will be g(x) = 4x + 1
Translation of functionsTranslation is the technique that is used to change the position of a figure on an xy-plane.
For instance, if the function f(x) is reflected in the y-axis, the resulting function will be g(x) = f(-x)
Given the function f(x) = -4x+1 if the function is reflected in the y-axis of the graph of f.f, the resulting function will be;
g(x) = f(-x)
g(x) = -(-4x) + 1
g(x) =4x + 1
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The scale on the horizontal axis is 5 s per division and on the vertical axis 9 m per division. What is the time represented by the third tic mark on the horizontal axis? Answer in units of s.
Using proportions, it is found that:
The time represented by the third tic mark on the horizontal axis is of 15 seconds.The position represented by the fourth tic mark on the vertical axis is of 36 meters.The position at t = 15s is of 18 m.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
On the horizontal axis, each tic represents 5 seconds, hence:
3 x 5 = 15 seconds.
The time represented by the third tic mark on the horizontal axis is of 15 seconds.
On the vertical axis, each tic represents 9 meters, hence:
4 x 9 = 36 meters.
The position represented by the fourth tic mark on the vertical axis is of 36 meters.
When t = 3 x 5 = 15s, y = 2 x 9 = 18m, hence:
The position at t = 15s is of 18 m.
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Maddie scored 2 fewer than triple the number of points Crystal scored in their basketball game. Together the girls scored 30 points. Let
m = the points Maddie scored, and c = the points Crystal scored. Which system can be used to find the number of points each girl
scored?
The system of equations that is used to find how many points each girl scored is given as follows:
m = 3c - 2.c + m = 30.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable m: number of points scored by Maddie.Variable c: number of points scored by Crystal.Maddie scored 2 fewer than triple the number of points Crystal scored in their basketball game, hence:
m = 3c - 2.
They scored 30 points in total, hence:
c + m = 30.
Thus, the system is given by:
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14 less twice the sum of m and 12 is at most 24.
Find all the solutions for m. Give all three
representations.
The solution to the given inequality are x ≤ 7, and (-∞, 7).
Inequality expressionsInequality expressions are expressions that are not separated by an equal sign.
For the statement "14 less twice the sum of m and 12 is at most 24", it is expressed as:
2(x+12)-14 ≤ 24
Simplify
2x + 24 - 14 ≤ 24
2x + 10 ≤ 24
2x ≤ 24 - 10
2x ≤ 14
Divide both sides by 2
x ≤ 14/2
x ≤ 7
Hence the solution to the given inequality are x ≤ 7, and (-∞, 7).
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37. Multiple Choice
Which conditional and its converse are both true?
A If x= 1, then 2x 2.
B If x= 3, then x² = 6.
DIf x² = 4, then x = 2.
C If x = 2, then x² = 4.
Answer:
does ² mean ×2?
cuz if it does that maybe I can help
{(2, 1). (-4, 5), (1, 7), (2, -3), (-1,2)}
Domain and Range
The Domain of a relation is the set of all allowable inputs. It is all the x-values in the (x, y) points determined by the relation.
The Range of a relation is the set of the resulting outputs. It is all the y-values in the (x, y) points determined by the relation.
Now, the given relation is {(2, 1). (-4, 5), (1, 7), (2, -3), (-1,2)}
The Domain of the given relation will be
= {2, -4, 1, -1}
And the Range of the relation will be
= [1, 5, 7, -3, 2]
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a movie theater charges $4 for each child's ticket and $6.50 for each adult's ticket. one night, 200 tickets were sold, amounting to $1100 in ticket sales. how many of each type were sold?
A total of 200 tickets was sold whereas 120 tickets were for adult and 80 tickets for the child.
What do you mean by the unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
As a result, multiplying by 2, the man travels 3.5 miles in one hour.
The distance the man walks in 7 hours, multiplied by 7, comes out to be 24.5 miles. Alternatively, you might divide the man's distance traveled by 7, or X, to get 7 (x/7). It equals the time needed to travel X miles, which is 2 hours (7/2), divided by the time needed to go X miles, which is 7 hours. X, therefore, equals 24.5 miles.
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Ingrid types 3 pages in the same amount of time that Tanya types 4 pages. If Ingrid and Tanya start typing at the same time, how many
If the grid and tanya start typing at the same time, tanya have typed 14.67 pages.
What is the ratio?A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.
Now it is given that,
Pages typed by Ingrid = 3
Pages typed by Tanya = 4
So, the ratio of pages, Ingrid : Tanya = 3 : 4
So, If the grid and tanya start typing at the same time Ingrid has typed 11 pages
Thus, dividing the ratio be 3 we get,
3 : 4 = 1 : 1.33
Now for 11 pages multiplying 1.33 with 11 we get,
1.33 x 11 = 14.67
Thus, If the grid and tanya start typing at the same time, tanya have typed 14.67 pages.
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The Complete question is,
Ingrid types 3 pages in the same amount of time that tanya types 4 pages. If the grid and tanya start typing at the same time how many pages will tanya have typed when ingrid has typed 11 pages ?
The perimeter of the polygon with the vertices. U(-2,4), V(3,4), W(3,-4). Round your answer to the nearest hundredth.
The Perimeter of the polygon = 22.43 units.
How to Determine the Perimeter of a Polygon?Given the vertices of the polygon as:
U(-2,4)V(3,4)W(3,-4)The perimeter of the polygon is the sum of all its sides, UV + VW + UW.
Apply the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] to find the length of each of the three sides of the polygon as shown below:
UV = √[(3−(−2))² + (4−4)²]
UV = √[(5)² + (0)²]
UV = √25
UV = 5 units
VW = √[(3−3)² + (4−(−4))²]
VW = √64 = 8 units
UW = √[(−2−3)² + (4−(−4))²]
UW = √89 = 9.43 units
Perimeter of the polygon = 5 + 8 + 9.43
Perimeter of the polygon = 22.43 units
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190 students enrolled in a freshman-level chemistry class. by the end of the semester, 4 times the number of students passed as failed. find the number of students who passed, and the number of students who failed.
The number of students passed is 152 and who failed is 38.
This problem is from the chapter of linear equation in one variable.
right here, it's far for the reason that the overall quantity of college students enrolled in the chemistry class is =190
And additionally the whole variety of students who passed is 4 instances the quantity of college students failed.
allow the total range of students who failed is x.
So, the number of students who passed is 4x.
According to question,
4x + x=190
⇒5x=190
⇒x=[tex]\frac{190}{5}[/tex]
∴ x = 38
So, the number of students who failed is 38 and the number of students who passed is 152.
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f(x)=9 find the following values
2f(x) +3
Answer
this question is impossible no expert can solve this!11!1!!!
Step-by-step explanation:
none
You average 55 miles per hour while driving to a relative's house. On the return trip, you average 50 miles per hour because of bad weather. The total driving time is 5 hours and 15 minutes. How long does each trip take?
We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.
How long does each trip take?
Remember the relation:
Distance = Speed*Time.
Here the total distance of the trip is 55mi + 50mi = 105mi
And the total time is 5 hours and 15 minutes, remember that:
60 min = 1 hour
Then; 15 min = 0.25 hours.
So the total time is 5.25 hours, with that we conclude that the average speed is:
S = 105mi/5.25 h = 20 mi/h
The first trip is 55 miles long, then the time in which it is travelled is:
T = (55 mi)/(20 mi/h) = 2.75 hours
The second trip is 50 miles long, then:
T' = (50mi)/(20 mi/h) = 2.5 hours.
We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.
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