Complete the 2 column proof below given j = h and line m bisects gk

What is the solution to the system of equations below?

Andre45 [30]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equations

$y=-6x-10$

$y=-3x-21$

solving the system of the equations

Arrange the equation variables for elimination

$\begin{bmatrix}y+6x=-10\\ y+3x=-21\end{bmatrix}$

$y+3x=-21$

$-$

$\underline{y+6x=-10}$

$-3x=-11$

$\begin{bmatrix}y+6x=-10\\ -3x=-11\end{bmatrix}$

solve

$-3x=-11$

Divide both sides by -3

$\frac{-3x}{-3}=\frac{-11}{-3}$

$x=\frac{11}{3}$

$\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=\frac{11}{3}$

$y+6\cdot \frac{11}{3}=-10$

$y=-32$

Therefore, the solutions to the system of the equations are:

$y=-32,\:x=\frac{11}{3}$

But, it seems none of the options is true.

8 0

3 years ago

Read 2 more answers

The area of a storage shed floor is 20 ft2. The length is 3 more than twice the width. Find the dimensions of the storage shed f

vladimir1956 [14]

Answer:

2.5 ft wide
8 ft long

Step-by-step explanation:

The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.

__

<h3>Given relation</h3>

Let x represent the width of the shed. Then the length is (2x+3), and the area is ...

A = LW

20 = (2x+3)(x) . . . . . area of the shed

__

<h3>Solution</h3>

Completing the square gives ...

2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides

2(x +0.75)² = 21.125 . . . . . . . write as a square

x +0.75 = √10.5625 . . . . . divide by 2, take the square root

x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution

The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.

8 0

2 years ago

How do you Graph y= x + 4

Marrrta [24]

put x=0 then y=4

put y=0 then x=-4

therefore 2 ccordintes are

(0,4) and (-4,0)

take a scale and construct a line joining these two points.

you will get the required graph.

hope it helps.

please follow if you like.

8 0

4 years ago

Read 2 more answers

WILL GIVE BRAINLIEST

scoray [572]

Inverse Variation is shown through the formula y=k/x
plug in the given values and solve for k: 3=k/5 so k=15

Answer: y=15/x

4 0

3 years ago

0.2(x+50)-6=0.4(3x+20)

podryga [215]

Distrivute 0.2 to x and +50 and you get 0.2x+10-6 now for the other side we do the same and we get 1.2x+8 or an easier way... Let's solve your equation step-by-step.0.2(x+50)−6=0.4(3x+20)Step 1: Simplify both sides of the equation.0.2x+4=1.2x+8Step 2: Subtract 1.2x from both sides.0.2x+4−1.2x=1.2x+8−1.2x−x+4=8Step 3: Subtract 4 from both sides.−x+4−4=8−4 −x=4 now you divide by negative x (technically it is -1x=4 so your answer is x=-4

3 0

3 years ago