MATHEMATICS HIGH SCHOOL

Write a system of linear equations that has (-4, 8) as the solution. Once you have made your system of equations, solve it algebraically to show that you do indeed get the solution (-4, 8).

Answers

Answer 1

Answer:

Answer:

See below

Step-by-step explanation:

(-4, 8) has to be the solution.

1st equation: -4x+8y = 1

2nd equation: 8x - 4y = 1

These should work. Do the matrix-substitution combo method to see:

-4 8 1

.8 -4 -1

Reduce and and matrix-substitution combo:

1 0 -4

0 1 8

The reduced eckerd form of the matrix shows that the solutions are (-4, 8)

Therefore it -4x + 8u = 1 and 8x - 4y = 1 are the two equations for the system.

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Answers

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Simplify sin(3x+13)=cos(4x)

Answers

Sin(3×+13)=sin(pi/2-4×)
3x+13 =pi/2 -4× or 3×+13 =pi-pi/2 + 4×
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Cedro collects state quarter. He has 42 out of 50 available quarters.What is 42 out of 50 as a percent

Answers

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If angle one and angle five a vertical angles and angle one equals 55° then angle five will equal _____?

Answers

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Triangle XYZ has been dilated to form triangle LMN. What is the least amount of information needed to prove the two triangles are similar?A.Two pairs of corresponding angles and one pair of corresponding sides

B.Two pairs of corresponding sides and one pair of corresponding angles

C.Two pairs of corresponding angles

D.Two pairs of corresponding sides

Answers

Answer:

Option C is correct.

Two pairs of corresponding angles

Step-by-step explanation:

Given triangle XYZ has been dilated to form triangle LMN.

Dilation states that it is a transformation that produces an image that is the same shape as the original, but of a different size.

therefore, the triangle XYZ by a dilation is similar to triangle LMN

Similar figures have the

*same shape

*equal corresponding angle measures, and

*have proportional sides.

Therefore, the information which is needed to prove that two given triangles are similar is two pairs of corresponding angles

Two pairs of corresponding angles

Find the product. y^4 · y^6

Answers

Answer:

$y^(4) * y^(6)$ = $y^(10)$ .

Step-by-step explanation:

Given: $y^(4) * y^(6)$ .

To find : Find the product.

Solution : We have given that $y^(4) * y^(6)$ .

By the same base exponential rule : if the base of the two exponential are same then power will be added.

$a^(b) * a^(c)$ = $a^(b+c)$ .

Then

$y^(4) * y^(6)$ = $y^(4 + 6)$ .

$y^(4) * y^(6)$ = $y^(10)$ .

Therefore, $y^(4) * y^(6)$ = $y^(10)$ .

y^4.y^6=y^10
[with the same base, we should add the exponents..]
Good Luck