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3 years ago

What is the solution of the system of equations: -2x+8y=-8 and 5x-8y=20

Mathematics

1 answer:

Tema [17]3 years ago

7 0

Answer:

x=4 y=0

Step-by-step explanation:

You add the two equations together to get 3x=12. You derive x=4 and y=0 from that.

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What is the common differenice for this arithmetic sequence?

yaroslaw [1]

Answer:

The answer is D.

Step-by-step explanation:

The difference between each term is 4.

-2 - (-6) = 4

2 - (-2) = 4

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10 - 6 = 4

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3 years ago

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hat is the difference between the areas of a circular table with diameter 6 ft and a circular table with diameter 8 ft?

prohojiy [21]

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3 years ago

I need to know if it’s A B C OR D

Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

$\angle NMP+\angle NOP=180^0$

Recall that

$\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}$

Hnece, we have that

$\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}$

Then

$\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}$

Hence

x=17

Since

$\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}$

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

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1 year ago

( I REALLY NEED HELP I WILL GIVE BRILLIANT) If you divide 78 by 34, will the quotient be greater than or less than 34?

Kay [80]

The quotient will be less that 34 because 78 divided by 34 is 2

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3 years ago

What is the solution of the system of equations: -2x+8y=-8 and 5x-8y=20​

What is the solution of the system of equations: -2x+8y=-8 and 5x-8y=20