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3 years ago

Solve for y in terms of x -8x + 4y = -16

Mathematics

2 answers:

solniwko [45]3 years ago

4 0

Answer:

y=2x-4

Step-by-step explanation:

well first you have to move the -8x to the other side where the -16 is. by doing so, the -8x will turn into a POSTIVE 8x. than your problem should look like (4y=8x-16). now that your problem is like that, you want "y" to be alone. so, you divide the 4 by every number. (so you would do 4y/4, 8x/4, and -16/4). than your final product would be: y=2x-4

adell [148]3 years ago

4 0

Answer:

x=1/2y + 2

Step-by-step explanation:

multiply the equation. by -1 to make the x value positive, add -4y to both sides, not we have 8x=4y+16, now divide both sides by 8 and you get x=1/2y +2

You might be interested in

What are the measures of two complementary angles if the difference in their measures is 18?

saw5 [17]

Complementary angles = 90°
x= angle 1
(90-x)= angle 2

Subtract the two angles to get the difference between them (18°).

(90-x) - x= 18
combine like terms

90 - 2x= 18
subtract 90 from both sides

-2x= -72
divide both sides by -2

x= 36° angle 1

Substitute answer in to find angle 2:
=90 - x
=90 - 36
=54° angle 2

Hope this helps! :)

3 0

2 years ago

ms Callahan is building a new dog pen for her dog. she has 24feet of fencing. the pen needs to be a rectangle. what is the lengt

NeX [460]

If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet. The perimeter is basically the distance around a figure. The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w. In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.

So, the formula is P=2l+2w. P, the perimeter, is 24, so 24=2l+2w. Let's try some values for l and see what we get for w. If the length is 1, l=1. 24=(2*1)+2w. 24=2+2w. 22=2w. w=11. So if length is 1 foot, width is 11 feet.

What if l=2? 24=(2*2)+2w. 24=4+2w. 2w=20. w=10. If l=2, w=10. And l=3? 24=(2*3)+2w. 24=6+2w. 18=2w. w=9. If l=3, w=9. Do you see a pattern? Every time we add 1 to l, we subtract 1 from w. So if l=4, w=8. If l=5, w=7. If l=6, w=6. Here, we start getting similar answers: if l=7, w=5. If l=8, w=4. Since we already know these values work, it doesn't matter whether we call it length or width. So, our answers are below.

Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.

6 0

3 years ago

Bruce drew a scale drawing of a restaurant. The scale he used was 1 millimeter 10 meters The restaurant's kitchen is 3 millimete

Burka [1]

Answer:

answer=30

Step-by-step explanation:

by taking the length as x

1 millimetre = 10 metres

3 millimetres = x

10×3= 30 metres

HOPE THIS HELPS

8 0

1 year ago

The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder wi

klasskru [66]

The number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

In the question, we are given that the radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.

We are asked to find the number of times one needs to use the completely filled cone to completely fill the cylinder with water.

The volume of a cylinder is calculated using the formula, V = πr²h.

The volume of a cone is calculated using the formula, V = (1/3)πr²h.

In both the formulas r is the radius and h is the height.

The volume of the given cylinder using the formula is π(10)²(20) cm³ = 2000π cm³.

The volume of the given cone using the formula is (1/3)π(5)²(10) cm³ = (250/3)π cm².

The number of times one needs to use the completely filled cone to completely fill the cylinder with water =

The volume of the given cylinder/The volume of the given cone,

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = {2000π cm³}/{(250/3)π cm²},

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = 24.

Thus, the number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

Learn more about the volume of a cylinder and cone at

brainly.com/question/26263468

#SPJ9

8 0

1 year ago

Can you please help me with this.

ohaa [14]

Hope this helps!

Last one should be y=2 +1

3 0

2 years ago