Divide. Write the answer in simplest form 2 1/2 ÷ 8

What is the solution of the system equations y =-3x +8 y = -5x -2

Talja [164]

Answer:

Since both equations are equal to y, we can set them equal to each other.

y =-3x +8

y = -5x -2

-3x +8 = -5x -2

Solve for x.To do this, we need to get x by itself. First, move all the numbers to one side of the equation, and all the variables to the other.

-3x +8 = -5x -2

Add 5x to both sides

-3x+5x +8=-5x+5x -2

2x+8=-2

Subtract 8 from both sides

2x+8-8 = -2-8

2x=-10

Now, all the numbers are on one side, with the variables on the other. x is not by itself, it is being multiplied by 2. To undo this, divide both sides by 2

2x/2= -10/2

x= -5

Now, to find y, substitute -5 in for x in one of the equations.

y = -5x -2

y= -5(-5) -2

y=25-2

y=23

Put the solution into (x,y)

The solution is (-5, 23)

8 0

3 years ago

Could u pls show me step by step

Brums [2.3K]

Answer:

Area = 36 sq. units

Step-by-step explanation:

The 3 values you need to solve for the area are the top base length, bottom base length, and height.

Top base length = 7 . It's the distance between point A and B.

Bottom base length = 11. It's the distance between points C and D.

Height = 4. It's the perpendicular distance from the top to the bottom base.

The formula to solve the area of a trapezoid (or trapezium, I'm American) is:

A = $\frac{1}{2}h(b_{1} +b_{2})$

Put in the numbers above for the unknowns and you will get this:

A = $\frac{1}{2}(4)(7 + 11)$

Simplify:

A= $\frac{1}{2}(4)(18)$

A = 2(18)

A = 36

So the answer is 36. Hope I helped!

5 0

3 years ago

Read 2 more answers

Simplify this expression

kompoz [17]

The first step for solving this problem is to know that in order to divide by a fraction,, we must multiply by the reciprocal of that fraction. This will look like the following:
$\frac{x+2}{ x^{2} -6x-16}$ × 9x
Write -6x as a difference.
$\frac{x+2}{ x^{2} +2x-8x-16}$ × 9x
Factor out x from x² + 2x.
$\frac{x+2}{ x X (x+2)-8x-16}$ × 9x
Factor out -8 from -8(x + 2).
$\frac{x+2}{ x X (x+2)-8(x+2)}$ × 9x
Factor out x + 2 from the denominator (bottom) of the expression.
$\frac{x+2}{(x+2)X(x-8)}$ × 9x
Reduce the fraction with x + 2
$\frac{1}{x-8}$ × 9x
Finally,, calculate the product to find your final answer.
$\frac{9x}{x-8}$
This means that the correct answer to your question is going to be option B.
Let me know if you have any further questions.
:)

3 0

2 years ago

Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her

Tatiana [17]

The equation is e = 300 - 10t. t is greater or equal than 0 and given that e cannot be negative, 300 - 10 t greaetr or equal than 0 => 10 t greater or equal than 300, and t greater or equal than 300/10 = 30. This is the viable points are times from 0 to 10 and elevation from 300 to 0. Some points are (0,300) which is the initial point (when Rory is on the top); (1, 290); (2, 280); (3, 270); (4, 260); (5, 250); (6, 240); (10, 200), (20, 100), (30, 0).

7 0

2 years ago

Read 2 more answers

Need #47 and #48 asap!! 20 pts!!

sergey [27]

Answer:

47-Step-by-step explanation:

X=121 because they are vertical angles

48- first divide 96 by 6 together the surface area of each side which is equal 16 then to find the length and the width find the square root of 16 which is 4 because it is a cube the length/width/height are all equal to four. So do 4 x 4 x 4 to find the volume of one cube. Which is equal to 64 then multiple by 8 to get the total volume 512cm^3

4 0

2 years ago

Divide. Write the answer in simplest form 2 1/2 ÷ 8​

Divide. Write the answer in simplest form 2 1/2 ÷ 8