the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to line a. Point (0, 5) lines on both line b and line t.

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Answer 1

Answer: The equation for line b is [tex]y = -\frac{3}{4}x + 5[/tex]

The equation for line t is [tex]y= \frac{4}{3} x+5[/tex]

The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.

Step-by-step explanation: Use slope intercept form, y = mx + b

The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"

To write the equation for line t

Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 3/4 to become 4/3 and change the negative sign to positive.

The resulting equation is y = 4x/3 + 5

Related Questions

from 2000 to 2010, the population of Florida increased by 23.5%. the population in 2000 was 15,982,378

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Answer:

Step-by-step explanation:

The equation

24x2+25x−47
ax−2
=−8x−3−53
ax−2
is true for all values of x≠2/a
where a is a constant.

What is the value of a?

A) -16
B) -3
C) 3
D) 16

Answers

Answer:

Either A or C I think, Good luck!!!

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

24x2+25x−47=(−8x−3)(ax−2)−53

then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The final answer is B.

Write an equation of the line in slope-intercept form.

f(0)=9, f(2)=4

Answers

Answer:

f(x)=-[tex]\frac{5}{2}\\[/tex]x+9

Step-by-step explanation:

Use the slope formula and slope intercept formula form y=mx + b to find the equation

What are the coordinates of point (-2, 4) after a 180 degree rotation?

Answers

Answer:

(2,-4)

Step-by-step explanation:

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).

The range of the function

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Answer:

Range: {-4, 3, 5}

Step-by-step explanation:

The range of a function includes all the set of possible output, or y-values in a given data set of a function.

Thus, the range of the function, {(2, 3), (-3, 5), (6, -4)} includes 3, 5, and -4.

This can be written as:

Range: {-4, 3, 5}

10m^5n^4/15m^2? Can someone help me

Answers

Answer:

2m^7n^4/3

Step-by-step explanation:

which is the best approximation of square root of 51
a 5.9
b 5.3
c 9.2
d 7.1
need answer asap

Answers

Answer: Answer is D.

Step-by-step explanation:

Answer:

d 7.1

Step-by-step explanation:

Use a calculator

A salesman sells a car for $11 000. If he is paid a commission of 4.5%
for the first $10 000 and 7.5% on the remainder, then the commission
he receives is

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I’m math teacher this is the answer

find the slope of the line through (9,0) and (3,8)

Answers

Answer: 4/-3

Step-by-step explanation:

Slope (m) = ΔY /ΔX = 4 /-3

ΔX = 3 – 9 = -6

ΔY = 8 – 0 = 8

Please help and explain!!!

Traveling with the wind, Jerry takes 10 minutes to bike to the local library. Traveling against the wind, it takes him 15 minutes. The library is 2.5 km away. What is Jerry's bicycling speed in still air?

Answers

Answer:

[tex]0.2\ km\ per\ minute[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that,\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ in\ his\ direction=10\ minutes\\Time\ Jerry\ takes\ with\ the\ Force\ of\ Wind\ against\ his\ direction=15\ minutes\\Considering\ only\ the\ direction\ of\ the\ forces\ are\ opposite\ and\ the\\ magnitudes\ equal,\\Let\ the\ time\ Jerry\ take\ travelling\ through\ a\ still\ wind\ be\ x\\Let\ the\ Force\ of\ wind\ be\ F.\\Hence,\\x+F=10\\x+(-F)=15\\By\ simply\ adding\ the\ equations,\\2x=10+15\\2x=25\\x=\frac{25}{2}\\[/tex]

[tex]x=12.5\\Hence,\\Time\ taken\ by\ Jerry\ during\ a\ still\ wind=12.5\ seconds.\\We\ also\ observe\ that\ 12.5\ is\ the\ mean\ of\ 10\ and\ 15\ and\ lies\ between\\ the\ two\ extremes.\\Hence,\\As\ we\ now\ know\ that,\\Distance\ from\ the\ library=2.5\ km\\Time\ taken\ by\ Jerry\ during\ the\ still\ wind=12.5\ minutes\\Hence,\ we\ know\ that\\Speed=\frac{Distance}{Time}\\Here,\\Speed=\frac{2.5}{12.5}\\Speed=\frac{1}{5}\ or\ 0.2\ km\ per\ minute[/tex]

Find the sum
(4 - n) + 2(-5n + 3)

Answers

Answer:

−11n + 10

Step-by-step explanation:

(4-n) + 2 (-5n+3)

4 - n + -10n + 6

-11n+4+6

The answer:-11n+10

Can anybody help with this?

Answers

Answer:

Step-by-step explanation:

Because < this means less than. So therefore 5 is less than 12

у = 3х – 2
y = — 2х +8
How do I solve it by graphing?

Answers

I just plugged both equations into my calculator and found where they intersect. But you can do the same on paper by manually finding that intersection in the graph which should be (2,4)

Lori scored 26 points in the game. This was 2 less than four times the number of points Ben scored. Which equation can be used to find, b, the number of points Ben scored?

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use a calculator sir we don’t know UEBEISNAIANAUSJS

PLEASE HELP URGENT 15 POINTS

Answers

Step-by-step explanation:

I guess its 1/3 ??........

A cell phone company charges $89.99 for a new phone and then $19.99 per month. Write a function to represent this situation.

Please help me

Answers

Answer:

y= 19.99x +89.99

Step-by-step explanation:

Answer:

Step-by-step explanation:

$89.99+$19.99x

Solve the following proportion for n.
4/12 = n/72

Answers

Answer:

n = 24

Step-by-step explanation:

(4/12)*72 = n

24 = n

Estimate 40% of 128
Please help :c

Answers

Answer:

51.2 is 40% of 128

Step-by-step explanation:

Answer:

76.8

Step-by-step explanation:

128 x .40 = 51.2

128 - 51.2 =76.8

The product of 15 and a number x is −75.

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Answer:

the solution is in the figure

the number is -5

Please help me out!

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Answer:

4/3

Step-by-step explanation:

PLEASE HELP 20 points!!!6) Find the inverse function. Use f-1(x) to indicate the inverse function and 5 points
parenthesis for the numerator, if needed. Example: f-1(x)=(x+7)/5 *
f(x) = 4x - 2
Your answer

Answers

Answer:

Step-by-step explanation:

ANSWER: 16x+=92

The table shows the derivation of tan(2x). Select the correct reason for each step.
Reason 1 is:
Reason 2 is:
Reason 3 is:

Answers

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify

Step-by-step explanation:

I just did it on edge 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify

Step-by-step explanation:

Given: x-5>-2.
Choose the solution set.
O {XIXER,X > -7)
OxIXER, x>-3)
O {XIXER, x > 3)
O XIXER,X>7)

Answers

Answer:

The solution set is {x : x ∈ R, x > 3} ⇒ C

Step-by-step explanation:

The solution set of the inequality x > a is {x : x ∈ R, x > a}The solution set of the inequality x < a is {x : x ∈ R, x < a}The solution set of the inequality x ≥ a is {x : x ∈ R, x ≥ a}The solution set of the inequality x ≤ a is {x : x ∈ R, x ≤ a}

Let us solve the question

∵ x - 5 > -2

→ Add 5 to both sides of the inequality

∴ x - 5 + 5 > -2 + 5

∴ x > 3

→ By using the first rule above

∴ The solution set is {x : x ∈ R, x > 3}

A family bought a total of 32 adult and child tickets to eat at the dining hall.

Adult tickets are $21 each and children are $15 each.

The family paid a total of $282

Write an equation to model the total number of tickets sold.

Write an equation to model the cost of tickets sold.

How many of adult tickets, “x” and child tickets, “y” did they buy?

Answers

Answer:

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

Solution:

Step 1: Set up a table with quantity and value.

quantity value total

$3 tickets

$2 tickets

together

Step 2: Fill in the table with information from the question.

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantity value total

$3 tickets x 3 3x

$2 tickets y 2 2y

together 350 950

Step 3: Add down each column to get the equations

x + y = 350 (equation 1)

3x + 2y = 950 (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

A pair of fair dice is thrown.what is the probability of obtaining a sum of
A) At least 8

Answers

Answer:

[tex]p(e) = \frac{5}{36} [/tex]

Step-by-step explanation:

A dice contains numbers from 1 to 6.

Number whose sum is 8

2 and 6

3 and 5

4 and 4

5 and 3

2 and 6

When two dice is thrown, There are 36 possibilities {6(from the first dice) × 6(from the second dice)}.

Probability of obtaining a sum of 8 is 5/36.

not prime number in 12n- 5

Answers

Answer:

Step-by-step explanation:

12 x 5 = 60

60-5 = 55

55 is not prime

The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the

Answers

Answer:

15 ounces per box

Step-by-step explanation:

The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box?

Total weight of crackers in the boxes = 165 ounces

Total number of boxes = 11 boxes

What is the weight, in ounces, of one box?

Weight per box of crackers =

Total weight of crackers in the boxes / Total number of boxes

= 165 ounces / 11 boxes

= 15 ounces per box

The weight, in ounces, of one box is 15 ounces

A contractor brought 12.6 ft.² of sheet metal. She had used 3.7 ft.² so far and has $267 Worth of sheet metal remaining. The equation 12.6 X -3.7 X equals 267 represent how much sheet metal germinating in the cost of the remaining amount. How much does sheet metal cost per square foot?

Answers

Answer:

12.6x - 3.7 x= 267

8.9x = 267

x= 267/8.9=30

x= per square foot charge = 30 $

what is an equetion of the line that paraell to y=3x - 8and passes through the point[4,-5]

Answers

Answer:

-2.5 I THINK

Step-by-step explanation:

Parallel = same slope
Slope: 3
Y = 3x + b
-5 = 3(4) + b, b = -17
Equation: y = 3x - 17

my question is in the picture

Answers

Answer:1

Step-by-step explanation:

Other Questions

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the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to line a. Point (0, 5) lines on both line b and line t.​

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the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to line a. Point (0, 5) lines on both line b and line t.