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andrey2020 [161]
3 years ago
8

-90 = -2(6a – 3) Pls help just solving an equation. :)

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

Answer:

a=8

Step-by-step explanation:

We are asked to solve this equation -90=-2(6a-3) . As here our variable is a , we will solve it for a. Let us do it step by step

1. Opening the brackets and distribution of -2 inside

-90=-12a+6

2. Subtracting 6 from both sides we get

-90-6=-12a+6-6

-96=-12a

3. Dividing both sides by 12 we get

\frac{-96}{-12}=\frac{-12a}{-12}

a=8

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Read 2 more answers
18,19,20,21,23 please help me. I really need this answer.please help me.
sp2606 [1]

Answer:

18. Supplementary

19. Vertical

20. x = 7

23. x = 25

Step-by-step explanation:

Use angle relationships to make equations which you can solve for x.

Example:

18. These two angles form a line. These are called supplementary.

19. These angles are across a vertex from each other and are equal or the same.

20. 9x + 1 = 7x - 9 + 5x - 11

9x + 1 = 12x - 20

9x - 9x + 1 = 12x - 9x - 20

              1 = 3x - 20

      1 + 20 = 3x - 20 + 20

            21 = 3x

              7 = x

23. These two angles are across a vertex from each other. This means the angles are equal. Think of it as a reflection. If you folded the paper on that vertex, the lines would be in the exact same place.

So set the two expressions equal to each other. Then use inverse operations to isolate x and solve.

5x + 4 = 8x - 71

5x - 5x + 4 = 8x - 5x - 71

4 = 3x - 71

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7 0
3 years ago
Sammy and Pippa's teacher gives them a homework question to solve. She tells them to plot the points A(5, -1), B(9, 4), C(15, 1)
kvv77 [185]

Answer:

Pippa

Step-by-step explanation:

A square has

  • parallel opposite sides
  • perpendicular adjacent sides
  • perpendicular diagonals

A rhombus has  

  • parallel opposite sides
  • non-perpendicular adjacent sides
  • perpendicular diagonals

Thus, we can identify the shape by comparing the slopes of the adjacent sides.

1. Draw the shape

See the graph below

2. Calculate the slope of AB

m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-1))/(9 - 5) = (4 + 1)/4 = 5/4

3. Calculate the slope of BC

If BC⟂AP, its slope should be -4/5 .

m = (y₂ - y₁)/(x₂ - x₁) = (1 - 4)/(15 - 9) =-3/6 = -1/2

½ ≠ -⅘

The two lines are not perpendicular.

Pippa is right. The shape is a rhombus.

 

5 0
3 years ago
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