All categories

3 years ago

What is the y-value for the solution to the system of equations below? 10x + 8y = -24 5x+6y = 2

1 answer:

6 0

Y = -1.4

The simplest way to find the answer is to cancel out the x - values. Set both equations equal to zero.
10x + 8y + 24 = 0
5x - 6y - 2 = 0
Multiple the second equation by -2 so the x terms cancel out when you add them together.
10x + 8y + 24 = 0
-10x + 12y + 4 = 0

20y + 28 = 0
20y = -28
Y = -1.4

You might be interested in

What is 18+7x-12+5x=?

Eduardwww [97]

Answer:

Step-by-step explanation:

8 0

3 years ago

For ΔABC, ∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C'

Sholpan [36]

Answer: It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.

Step-by-step explanation:

Since we have given that

In ΔABC,

∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20

In ΔA'B'C',

∠A' = 6x + 10, ∠B' = 70 - x, and ∠C' = 10x 2

Since ΔABC gets a dilation by a scale factor of $\dfrac{1}{2}$

So, it becomes,

$\dfrac{\angle A}{\angle A'}=\dfrac{1}{2}\\\\\dfrac{8x-10}{6x+10}=\dfrac{1}{2}\\\\2(8x-10)=6x+10\\\\16x-20=6x+10\\\\16x-6x=10+20\\\\10x=30\\\\x=\dfrac{30}{10}=3$

Now, put the value of

$\angle B=10(3)-40=30-40=-10\\\\and \angle B'=70-30=40$

It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.

8 0

3 years ago

VERY VERY VERY VERY VERY URGENT!!?!!??? These triangles are similar. True False

Deffense [45]

Answer:

True

Step-by-step explanation:

5 0

3 years ago

9/16 in simplest form

-Dominant- [34]

9/16.

There is no common factor to 9 and 16.

No number can go into 9 and at the same time go into 16.

So in simplest form it is still = 9/16

3 0

3 years ago

On Monday, a factory used 11/15 a ton of grapes to make grape juice. Tuesday required 14/30 a ton more than the amount on Monday

Rudiy27

Answer:

1 ton on wednesday!

Step-by-step explanation:

We need to go step by step for this one.

On monday the factory used 11/15 of a ton, while tuesday required 14/30 a ton more than that. To find tuesday's amount we must take 11/15 and add 14/30 to that.

11/15 + 14/30 = 1 1/5

Tuesday = 1 1/5 of a ton

On wednesday the factory uses 5/6 of the amount used on tuesday, which is 1 and 1/5 of a ton.

1 1/5 times 5/6 = 6/5 times 5/6

Anything multiplied by their reciprocal is 1, so the answer is 1. On wednesday 1 ton of grapes was used on wednesday!

5 0

3 years ago

What is the y-value for the solution to the system of equations below? 10x + 8y = -24 5x+6y = 2​

What is the y-value for the solution to the system of equations below? 10x + 8y = -24 5x+6y = 2