Mathematics College


What is the equation of the line that is parallel to line R, y = 2x + 5, and passes through the
point (-2, 2)?



Answers

Answer 1

Answer:

y = 2x + 6

Step-by-step explanation:

We are given the line R, which is y=2x+5, and we want to find the equation of the line that is parallel to this line, and that also passes through the point (-2, 2).

Parallel lines have the same slope, yet different y-intercepts.

So, we should first find the slope of y=2x+5.

The line is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

As 2 is in the place of where m (the slope) should be, 2 is the slope of the line.

It is also the slope of the line parallel to it.

We can write the equation of the new line in slope-intercept form as well; here is the equation so far, with what we know:

y = 2x + b

We need to find b.

As the equation passes through the point (-2, 2), we can use its values to help solve for b.

Substitute -2 as x and 2 as y.

2 = 2(-2) + b

Multiply.

2 = -4 + b

Add 4 to both sides.

6 = b

Substitute 6 as b.

y = 2x + 6

Related Questions

Please help me with steps

Answers

Answer:

224 cm³

Step-by-step explanation:

Decompose the figure into two cuboid.

Volume of the bigger cuboid = L*W*H

L = 7 cm

H = 7 cm

W = 4 cm

Volume of the bigger cuboid = 7*7*4 = 196 cm³

Volume of smaller cuboid = L*W*H

L = 7 cm

W = 2 cm

H = 2 cm

Volume of smaller cuboid = 7*2*2 = 28 cm³

✅Volume of the figure = 196 cm³ + 28 cm³ = 224 cm³


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

y=mx+b is the correct answer!!
Y = 5x + 50 is the correct answer

if root x+9=root 784, the value of x​

Answers

Answer:

on squaring complete term

x + 81 = 784

x = 784 - 81

x = 703

Step-by-step explanation:

help ASAP please !!

Dorise is cutting a piece of fabric to use as a section of a patchwork quilt. A pattern of the quilt section is shown below.



*Picture not drawn to scale

What is the area of section A?
A.
28.5 square inches
B.
49 square inches
C.
24.5 square inches
D.
14 square inches

Answers

C. 1/2b*h 1/2(7)*7= 24.5

Answer:

24.5

Step-by-step explanation:

Marco is building with bricks. He needs 560 bricks total to build a wall, but only has 445. The price per 5 bricks is $25. How much money does Marco need for a total of 115 bricks?

Answers

2,875 bricks because you just going to multiply how many bricks you have by how much they are each for example (115*25)

Answer:

575$

Step-by-step explanation:

If each 5 bricks is 25$  and Marco already has 445 all he needs is 115 more bricks and 115 divided by 5 is 23 so 23 groups of 5 bricks and 23*25 is 575$

I hope this was helpful!!

What is the lateral area of a right prism which has a lateral edge of 4 inches and has a regular pentagon on base with an edge of 12 inches ?

Answers

Answer:

240 inches squared

Step-by-step explanation:

[tex]A=5*4*12=240[/tex]

Marks own a carpet store and sells hallway runners for k9.52/linear foot. a) How much is this per linear yard? b) How much is the per linear Meter? C) Ralph needs 3.9m of the runner for his hallway. How much will it cost? Full working out. Please calculate this for me​

Answers

Answer:

28.56/linear yard

32.2256/linear meter

121.77984k

Step-by-step explanation:

a) Scale = k9.52*3 = 28.56/linear yard

b) Scale = k9.52*3.28 = 32.2256/linear meter

c) Cost = 3.9 * 32.2256 = 121.77984k

1. Suppose that

O = {o, r, a, n, g, e}, A = {a, p, 1. e}, B = {b, a, n}.

Put one of the symbols E and €.

a) r... 0

b) p ... A

Answers

Answer:

a) r ∈ O

b) p ∈ A

Step-by-step explanation:

Given:

[tex]O=\{0,r,a,n,g,e\}\\A=\{a,p,1,e\}\\B=\{b,a,n\}[/tex]

To put: symbols ∈ or ∉ in the blanks.

Solution:

A set is a well - defined collection of objects.

In mathematics, an element of a set refers to the object that belong to that set.

a) r ∈ O

b) p ∈ A

Coniya
The owner of Wayne's Auto Repair charges a
customer $285 for parts plus an hourly labor cost.
The customer paid for 2.5 h of labor and paid a total of
$490.
What is the hourly labor cost?
O $80.00 per hour
$82.00 per hour
0 $86.00 per hour
O $89.00 per hour

Answers

Answer:

$82 per hour

Step-by-step explanation:

Total cost to customer: $490

Cost for parts: $285

$490-$285 = $205

There is a total labor charge of $205.

The problem tells us that the customer paid for 2.5 hours of labor.

$205/2.5 hours = $82.00 per hour.

What is the exact circumference of the circle?

27 cm
47 cm
8 cm
167 cm

Answers

Answer:

27

Step-by-step explanation:

27 is the wright answerhope it helps you

solve for the missing angle measurement

Answers

The total sum of angles in a trapezium is 360°.

x + 80° + 75° + 105° = 360°

x + 260° = 360°

x = 360° - 260°

x = 100°

The missing angle measurement is 100°.

Hope it helps!


The Chicago Bears
finished their 2020-21
regular season winning
8 of their 16 games.
What is the ratio of
their wins to losses?

Answers

Answer:

I believe the answer is 8 to 8 (8/8) or 1

Step-by-step explanation:

16-8=8

Wins= 8

Loses= 8

Ratio= 8/8

8/8= 1

The answer depends how the question asks for it, so its either 8 to 8, or 1

8:8 8 wins to 8 losses since 8 out of 16 games were won

In the diagram below, the horizontal lines are parallel. Find the value of x

Answers

Answer:

128

Step-by-step explanation:

180 - 52

On a scale drawing of a boat, 15 feet are represented by 10 inches. If the drawing was 8 inches long, how long was the boat?

Answers

Answer:

12 feet

Step-by-step explanation:

On a scale drawing of a boat, 15 feet are represented by 10 inches.

This means [tex]15\,\,feet=10\,\,inches[/tex]

[tex]1\,\,inch=\frac{15}{10}\,\,feet=\frac{3}{2}\,\,feet[/tex]

Now, find the length of the boat if the drawing was 8 inches long.

Length of the boat = [tex]8(\frac{3}{2})=12\,\,feets[/tex]

So, length of the boat is 12 feets if the drawing was 8 inches long.

Help meeee pleaseeeeeeee I need to pass my homework

Answers

First, you replace c and d. You would end up with[tex]\frac{1}{4}[/tex] (6) + 3(7).

Then, you evaulate it. You end up with [tex]1\frac{1}{2}[/tex] + 21.

Lastly, you add them together. The final answer is [tex]22\frac{1}{2}[/tex].

Hi there!

Simplifly c and d:

c=6, d=7

Multiply terms by terms:

[tex]\frac{1}{4}[/tex]·[tex]6=1\frac{2}{4}[/tex]

[tex]3[/tex]·[tex]7=21[/tex]

Add all terms together:

[tex]1\frac{2}{4}+21=22\frac{2}{4}[/tex]

Simplifly terms:

[tex]22\frac{2}{4}=22\frac{1}{2}[/tex]

Final Result: [tex]22\frac{1}{2}[/tex]

Which function family should be used to solve the following question?
A team of scientists is studying the rate of growth of bacteria in a lab. It is found that the number of bacteria colis triplos overy
hour. If there are 6 bacteria at the beginning of the study, how many bacteria will be present after 7 hours?
A. Linear Function Family
OB. Quadratic Function Family
OC. Exponential Function Family
OD. Absolute Value Function Family

Answers

Answer:

I think d is the answer

Family A and Family B both have 8 people in their family. The ages of each member is listed below Which statement is correct about the variability of the two families. Family A: 35,5.42, 9.16, 3,8 12 Family B: 1, 5, 29.3, 7, 35, 6,9​

Answers

Answer:

in family a you multiply by 7

In family b you multiply by 3

Step-by-step explanation:

Sorry if im wrong I should be right if im not then im really sorry :):(

Answer:

family A has greater variability

Step-by-step explanation:

what is the multiplicative inverse of 19/3​

Answers

Answer:

3/19

Step-by-step explanation: So basically you are asking for the reciprocal and the reciprocal of 19/3 is 3/19. You just basically flip the fraction around.

Help needed with this as soon as possible

Answers

Answer:

3

Step-by-step explanation:

it passes the vertical line test

hope this helps have a good day!

It is 3 just like the first guy said

Fine the slope of the line perpendicular to the line graphed below

Answers

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

The slope of this line is 2 because the rise from one point is 2, and the run is 1. The change in y-value is divided by the change in the x-value which is 2/1, hence, the slope of the line being 2.

The slope of the line perpendicular to the one shown below will be [tex]-\frac{1}{2}[/tex] because the slope that will result in a perpendicular line is the negative reciprocal of the original slope.

PLEASE IS MY LAST QUESTION
WILL GIVE BRAINLIEST

Answers

Answer:

A. 6

Step-by-step explanation:

The equation should equal 20 so first subtract 2 from 20 which is 18 then divide 18 by 3 which is 6, 6 is your answer.

Opposite angles are equal

[tex]\\ \sf\longmapsto 3x+2=20[/tex]

[tex]\\ \sf\longmapsto 3x=20-2[/tex]

[tex]\\ \sf\longmapsto 3x=18[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{18}{3}[/tex]

[tex]\\ \sf\longmapsto x=6[/tex?

Solve for x in the following equation.
6x=72
X=?

Answers

6x = 72
6 x 12 = 72
Therefore x = 12

Faucet A can fill up a water cooler in 8 minutes. Faucet B can fill the same water cooler in 12 minutes. How long will it take both faucets together to fill the water cooler?
!!!!!Explanation Needed!!!!!

Answers

Answer:

A cold water tap takes 3 minutes to fill the bath. A hot water tap takes 2 minutes to fill the bath. How long does it take to fill the bath when both taps are open at the same time?

It is easiest just to let the bath be a given size.

My little bath will be 12 litres

cold water  4L/min          hot water = 6L/min      

together 10L/1 min

10*(12/10) L per  1*(12/10) minutes

12L per 1.2min

12L per 1min and 12sec

It will take 1 minute and 12 seconds to fill the bath.

Step-by-step explanation:

Answer:

It will take 5 minutes for both faucets together to fill the water cooler

Step-by-step explanation:

I'm kinda just guessing but I do have a reasonable explanation

So the average time it takes for the faucets INDIVIDUALLY to fill the water cooler is 10 minutes

But since both faucets are filling them TOGETHER, it should take half the time

And half of 10 is 5

So it should take 5 minutes for both faucets together to fill the water cooler

If that makes sense

In ΔPQR, the measure of ∠R=90°, RQ = 55, PR = 48, and QP = 73. What ratio represents the sine of ∠Q?

Answers

Answer:

48/73

Step-by-step explanation:

plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

for 7 its r and u and r and s. and for 8 its all.

Step-by-step explanation:

Solve the answer for n
4/5 = n/3

Answers

Answer:

2.4

Step-by-step explanation:

4/5 = n/3

Cross multiple

4*3 = n *5

12= 5n

12/5 = 5n/5

n= 2.4

A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?​

Answers

Answer:

a.b=12 ise öncelikle çarpılarak 12 eden sayıları bulmalıyız;

4.3=12

6.2=12

12.1=12

şimdi toplamları en fazla ve en az olan çarpımları bulmalıyız toplamları en fazla olan çarpım;

12.1 den 12+1=13 tür

toplamları en az olan çarpım ise;

4.3 den 4+3=7 dir

5 for $4.45 or 8 for $7.28

Answers

Answer:

5 for $4.45

Step-by-step explanation:

Louis wants to make a scale drawing of his bathroom. The room is 12 feet long by 8 feet wide. If he uses a scale of 1cm = 4ft, how big would the bedroom be in the scale drawing?
Pls helpp

Answers

Answer:

Step-by-step explanation:

Ismail has 44 sweets more than Johan. If the number of sweets Johan has is of the
7/11 of the number of sweets Ismail has, how many sweets do they have altogether?​

Answers

Answer:

121

Step-by-step explanation:

Find out the amount of units Ismail have more than Johan.

11 - 7 = 4 units

Since Ismail has 44 more sweets than Johan and 4 more units..

4 units = 44

1 units = 44 ÷ 4 = 11

Altogether, there's 11 units.

11 units = 11 x 11 = 121

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