MATHEMATICS HIGH SCHOOL

If x2=y3, what is the value of z does x3z=y9?

Answers

Answer 1

Answer:

If x² = y³ , for what value of z does $x^(3z)$ = $Y^(9)$ ?

Answer:

z= 2

Step-by-step explanation:

To solve the question given, we will follow the steps below;

$X^(3z)$ = $Y^(9)$ -----------------------------------------------------------------(1)

but applying the law of indices mᵃᵇ = (mᵃ)ᵇ

then

$Y^(9)$ = $(Y^(3))^(3)$

replace $Y^(9)$ by $(Y^(3))^(3)$ in equation (1)

$X^(3z)$ = $Y^(9)$

$X^(3z)$ = $(Y^(3))^(3)$ --------------------------------------------------------------------(2)

but from the question x² = y³

replace y³ by x² in equation (2)

$X^(3z)$ = $(Y^(3))^(3)$

$X^(3z)$ = $(X^(2))^(3)$

$X^(3z)$ = $X^(6)$

3z = 6

divide both-side of the equation by 3

3z/3 = 6/3

On the left-hand side of the equation, 3 at the numerator will cancel-out 3 at the denominator leaving us with just z while on the right-hand side of the equation 6 will be divided by 3

z= 2

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What is the volume of this prism?

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its 378 cubes¬!!!!!!

I REALLY NEED HELP ON THIS, PLEASE!!!!

Answers

1. $2d+3$

2.
$n\cdot 7\n7n$

The following set of coordinates represents which figure? (−5 ,2), (−3, 4), (1, 0), (−1, −2) (6 points)

Answers

The Points make a rectangle so it'll be B.

I can give you the expression or you give me the chose.
expression is y=x-1

Explain why (–4x)^0 = 1, but –4x^0 = –4.

Answers

Any number raised to power zero = 1.

Note that 0 raised to power 0 is not 1, it is undefined.

Therefore:

(-4x)⁰ = 1

For the second part -4x⁰ = :

x⁰ = 1, -4x⁰ = -4*(1) = -4

This is true on the assumption that x is not equal to zero.

I hope this explains it.

In the diagram , m Find m help pls

Answers

Answer:

119°

Step-by-step explanation:

90 + 29

Sally found that a solution of x = 2 was extraneous for her function. What would be a possible denominator in Sally's function?

Answers

If you have a fraction, then the denominator (bottom) cannot equal 0, since it is impossible to divide by 0. Take a look at the function below.

$y=(5)/(x-2)$

If we plugged in 2 for x, we would end up with a denominator of 0, making x = 2 "extraneous."

(you can use this example to answer your question, with the denominator being x-2...any expression that evaluates to 0 when x = 2 would work)

x=2 should work

yay so only follow thw answer above

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