Find the y-intercept of a line parallel to 8x – 2y = 12 and passes through the point (5, 3).

Answers

Answer 1

Answer:

-17

Step-by-step explanation:

8x -2y= 12

Divide the whole equation by 2:

4x -y= 6

Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).

-y= -4x +6

y= 4x -6

Thus, gradient of given line= 4.

Since parallel lines have the same gradient, gradient of line= 4.

y= 4x +c

To find the y-intercept of the lone, substitute a pair of coordinates.

When x=5, y=3,

3= 4(5) +c

3= 20 +c

c= 3 -20

c= -17

Thus, the y-intercept of the line is -17.


Related Questions

graph the equations f(x)=-1/9x-3
g(x)=5/9x-9

Answers

Answer:

Graph of equations provided in the attached image.

Step-by-step explanation:

choose the equivalent to 5 (2x-3)-4 (3x-2)=18

Answers

x=-25/2 You can use symbolab

help plz I dont no 500+500 =(​

Answers

Answer:

500+500=1,000

Step-by-step explanation:

I hope this helps!

It’s gonna be 1000 and fits a joke then ion know what to tell you

for g(x)=3x+1, determine g(3-2x)

Answers

Answer:

g(3−2x)=12x2−36x+29

Step-by-step explanation:

Do you need step by step?

Someone please help me with this fast

Answers

Answer:

Surface area: 92 cm2

Volume: 60 cm3

Step-by-step explanation:

Hope this helps and tell me in the comments if it is correct or not.

Helpppp me please I forgot how to do this

Answers

Answer:

-11

Step-by-step explanation:

plz mark as brainliest.

Answer:

-11

Step-by-step explanation:

the absolute value of 33 is 33, and the absolute value of 3 is 3, but the negative sign is outside of the absolute value bars, so the answer is negative. the simpler equation shouldlook like this

33÷-3=___

and 33÷-3= -11

For what value of q is the equation –13(q + 4) = 7q+ 16 true?

Answers

Answer:

q = [tex]-\frac{17}{5}[/tex]   or -3.4

Step-by-step explanation:

I need help ASAP what’s the answer

Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C, from the equation y=mx+c

Work out surface area 4cm,7cm. Write your answer to 3 significant figures

Answers

It would help if you gave us a object to find the surface area of given the values 4cm and 7cm.

PLEASE HELP IM BEGGING
This is due and I have no idea what the answer is also I need the work shown

Answers

Answer:

Options (A), (C) and (E)

Step-by-step explanation:

System of inequalities has ben given as,

y ≥ 0.75x

y ≤ 2x - 7

By satisfying with the points given in the options,

Option A. (8, 8)

y ≥ 0.75x

8 ≥ 0.75(8)

8 ≥ 6

True

y ≤ 2x - 7

8 ≤ 2(8) - 7

8 ≤ 9

True.

Therefore, (8, 8) is the solution of the given system.

Option (B) (2, 2)

y ≥ 0.75x

2 ≥ 0.75(2)

2 ≥ 1.5

True

y ≤ 2x - 7

2 ≤ 2(2) - 7

2 ≤ -3

False

Therefore, Option B is not the solution.

Option C (9, 7)

y ≥ 0.75x

7 ≥ 0.75(9)

7 ≥ 6.75

True

y ≤ 2(x) - 7

7 ≤ 2(9) - 7

7 ≤ 11

True

Therefore, Option B is the solution of the system of inequalities given.

Option D (4, 6)

y ≥ 0.75x

6 ≥ 0.75(4)

6 ≥ 3

True

y ≤ 2x - 7

6 ≤ 2(4) - 7

6 ≤ 1

False

Therefore, Option (D) is not the solution.

Option E (10, 9)

y ≥ 0.75x

9 ≥ 0.75(10)

9 ≥ 7.5

True.

y ≤ 2x - 7

9 ≤ 2(10) - 7

9 ≤ 13

True

Therefore, Option E is the solution of the given system of inequalities.

Options (A), (C) and (E) are the correct options.

3,576 divided by 38

Answers

Answer:

3576 ÷by 38= 94

Step-by-step explanation:

I think this ans may help you

Answer:

The answer is 94.1052631579

Step-by-step explanation:

Help plz:)))I’ll mark u Brainliest

Answers

I am not positive but it looks like it is 16 feet because you subtract from the length of the ladder which gives you 18-2 which equals 16

Answer:

The Ladder Reaches 15Ft Up The Wall

Step-by-step explanation:

F=ma. Solve the equation for a

Answers

Answer:

F/m=a

Step-by-step explanation:

A spherical metal object with a mass of 13.0g has a diameter of 1.3cm. Calculate the density of the metal.

Answers

Answer:

11.304 kg/m³

Step-by-step explanation:

0.65cm radius

Volume is 1.15 cm³

.013/.00115

What is 1/2 divided by 1/8?

Answers

Answer:

8/2

Step-by-step explanation:

Answer:

8/2 will be your first answer but then you simplify to get the answer of 4

Use substitution to solve the system of equations

Answers

Answer: 3.75, 5.5

Step-by-step explanation:

The Groves basketball team did not record how many baskets were made by each player during the last game. Daniel remembers that he made three times as many baskets as Ben. Max knows that he made six more baskets than Ben. Mitchell is sure that he made fewer baskets than Ben. Christion is sure that he made the same number of baskets as Mitchell. Altogether the five players made 40 baskets. How many baskets did each player make?

Answers

Answers:

Ben = 6Max = 12Mitchell = 2Christion = 2Daniel = 18

Each count above refers to the number of baskets made for the given player.

====================================================

Explanation:

For each player, let the following variables represent how many baskets were made

B = BenM = MaxT = MitchelC = ChristionD = Daniel

So for example, if D = 10, then this means Daniel made 10 baskets. Though for now, we're not sure what number replaces D or any given letter.

------------------

"Daniel remembers that he made three times as many baskets as Ben" tells us that D = 3B is one equation

We know another equation is M = B+6 since Max made six more baskets than Ben

Another equation is C = T because these two students (Christion and Mitchell) made the same number of baskets.

We also know that T < B since Mitchell made fewer baskets compared to Ben.

Altogether the boys made 40 baskets total, so B+M+T+C+D = 40

-------------------

We have these five mathematical statements

D = 3BM = B+6C = TT < BB+M+T+C+D = 40

Let's focus on the last equation

B+M+T+C+D = 40

B+M+T+C+3B = 40 .... plug in D = 3B

4B+M+T+C = 40

4B+M+T+T = 40 .... plug in C = T

4B+M+2T = 40

4B+B+6+2T = 40 .... plug in M = B+6

5B+6+2T = 40

5B+2T = 40-6

5B+2T = 34

Now let's solve for T

5B+2T = 34

2T = 34-5B

2T = -5B+34

T = (-5B+34)/2

T = (-5B)/2 + 34/2

T = -2.5B + 17

----------------------------------

We've eliminated everything but two variables at this point.

Let's say that x replaced B and y replaces T

We get the equation y = -2.5x + 17

If you graph this equation along with y = x, you'll find that the two equations intersect at roughly (4.857, 4.857)

Since we want T < B, this means we want y < x to be the case. The line y = -2.5x+17 goes downhill as we move from left to right. If x is smaller than 4.857, then x >= y. Otherwise, if x is larger than 4.857, then y < x

Furthermore, looking at a table of values for this equation shows that only (x,y) = (6,2) is a point on y = -2.5x+17 such that both x and y are positive and x is the larger value, and they are both integer coordinates.

All of this means that when B = 6, this pairs with T = 2. No other number pair is possible for these two students.

We then use this to find the other player's basket count

D = 3B = 3*6 = 18M = B+6 = 6+6 = 12C = T = 2

----------------------------------

So we have the following results

B = 6M = 12T = 2C = 2D = 18

As a check,

B+M+T+C+D = 6+12+2+2+18 = 40

which confirms our answers.

9514 1404 393

Answer:

Ben: 6Daniel: 18Max: 12Mitchell: 2Christion: 2

Step-by-step explanation:

Let x and y represent baskets made by Ben and Mitchell, respectively. Then Daniel made 3x baskets, Max made (x+6) baskets, and Christion made y baskets. The total number is ...

  x + 3x +(x+6) +y +y = 40

  5x +2y = 34 . . . . . . . . . . . subtract 6

The other constraint on the solution is ...

  y < x . . . . . . . . . Mitchell made fewer baskets than Ben

__

We can see that 34 differs from a multiple of 5 by an even number, so (by inspection) we determine that (x, y) = (6, 2) is a solution to the equation. (It is also a solution to the inequality.)

Other possible solutions will require y increase by 5 as x decreases by 2, so those are ...

  (x, y) = {(6, 2), (4, 7), (2, 12), (0, 17)}

The only (x, y) pair that satisfies the inequality is the first one: (x, y) = (6, 2). Hence the numbers of baskets are ...

Ben: 6Daniel: 18Max: 12Mitchell: 2Christion: 2

HALPPPPP!!
The equation of direct proportion y=kx is given by the table. Find the coefficient k, copy the table and fill it in!

Answers

Answer:

K = - 4

Step-by-step explanation:

And i don't have a paper now so I cann't to complet the table sorry

Sheila was born in New York. She moved to
California and lived there twice as long as
she lived in New York. Then she moved to
Montana, where she has lived for 8 years.
She is now 62 years old. How long did she
live in New York?

Answers

For this you need to work backward

Step 1:
Subtract the time she lived in Montana for

62-8 = 54

Step 2:
Because she lived in NYC for twice as long as Cali you need to divide by 3

54/3 = 18

Step 3:
Because she lived in NYC you have to double 18

18 x 2 = 36

Step 4:
Answer

She lived in NYC for 36 years

Can sumone please help with this. Its super late and I need help

Answers

Answer:

i graphed it for you in a calculator

Three small shipping boxes and one large shipping box hold 64 pounds. A large shipping box minus a small shipping
box holds 32 pounds. When writing a system of equations to determine how many pounds each small box (x) and each
large box (y) holds, which statements are true?
A)
y + 3x = 64
y - x = 32
B)
y - 3x = 64
y + x = 32
3y - x = 64
y - x = 32
D)
(8. 40) is the solution to the system.
E)
(12, 10) is the solution to the system.

Answers

Answer:

y + 3x = 64

y - 3x = 32

(8,40) is the solution to the system

(Basically A & D)

Step-by-step explanation:

1 large + 3 small = 64 y+3x=64

1 large - 1 small = 32 y-x=32

(12,10) cannot be a solution because the small box (x) holds more than the large box (y).

Substitute (8,40): 40 + 3(8) = 64 and 40 - 8 =32

Given that f(x) = x² +8x+3 and g(x) = -x-7, which of the following is true?
Select all that apply.
D. f(x)•g(x)= -x3 - 15x² +
+53x + 21
B. In the composition gof, the output f(x) is used as the input for g.
f
C. The domain of - is the set of all real numbers.
g
A. f+9= x² +7x-4
E. f(g(x)) = x² + 6x-4

Answers

B and C make sense to me.

Answer:

a,c,e

Step-by-step explanation:

yes

f(x) = -4x2 + 5x
Find f (6)

Answers

You would plug in 6 where the x is so it would be -4 times 2 plus 5(6)

can someone please help because if I don't get my work don then I'm gonna get in trouble :(

Answers

1.) 4°C, -3°C, 5.5°C, -1.5°C
2.) Thermostat 3
3.) Thermostat 2
4.) It is colder because the coldest is -3°C

Which two expressions are equivalent to 20 + 48 ?

Answers

Answer:

A and D

Step-by-step explanation:

A.

2(10)=20

2(24)=48

20+48

D.

4(5)=20

4(12)=48

20+48

i hope this helps!

I need the area and perimiter.

Answers

Answer:

189.3 square inches, 55.7 inches

Step-by-step explanation:

Area = area of rectangle + area of semicircle

area of rectange = 10 * 15 = 150 square inches

radius of semicircle = 10/2 = 5

area of circle = (pi * 5^2)/2 = 12.5pi square inches

total area = 150 + 12.5pi = 189.3 square inches

total perimeter = perimeter of rectangle - left side + perimeter of semicircle

perimeter of rectangle = 10 + 15 + 15 = 40 inches

perimeter of semicircle = 10pi/2 = 5pi inches

total perimeter = 40 + 5pi = 55.7 inches


A total of 6.54 inches of snow fell during a storm. The snow fell at an
average rate of 1.5 inches per hour. For how many hours did the snow fall? *

Answers

Answer:

4.36

Step-by-step explanation:

6.54/1.5=4.36

BRAINLIEST and 20 points if you are 100 % sure of the answer

Answers

Answer:

h>-21

Step-by-step explanation:

So, you solve it like an equation, so you do -7 divided by -1/3

which is

and since you divided it by a negative, you switch the sign.

Compare the two video's about Early Man

Answers

Answer:

i love that video

Step-by-step explanation:

it was so interesting

i love it


Which of the following pairs of triangles can be proven congruent through SAS?

Answers

Answer: A

Step-by-step explanation: both triangle have a congruent side, angle, and second side

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