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3 years ago

Evaluate the expression (-x^3y^2)^2 for x =10 and y =-1 A.-1,000,000 B.-600,000 C.1,000,000 D.600,000

Mathematics

1 answer:

leva [86]3 years ago

6 0

C. Would be your answer

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A ladder is leaning against a wall. The top of the ladder is 9 feet (ft) above the ground. If the bottom of the ladder is moved

Komok [63]

Step 1

First situation

when a ladder is leaning against a wall

Let

x-------> the distance of the bottom of the ladder from the wall

L-------> the length of the ladder

Find the length of the ladder

Applying the Pythagorean Theorem

$L^{2} =x^{2}+ 9^{2}$ ------> equation $1$

Step 2

Second situation

when the ladder will be lying flat on the ground

Find the length of the ladder

In this situation the length of the ladder is equal to

$L=x+3$

square both sides

$L^{2}=(x+3)^{2}$ ------> equation $2$

Step 3

equate equation $1$ and equation $2$

$x^{2}+ 9^{2}=(x+3)^{2}\\x^{2}+81=x^{2} +6x+9\\ 6x=81-9\\6x=72\\x=12\ ft$

therefore

the answer is

the length of the ladder is $12\ ft$

see the attached figure to better understand the problem

5 0

3 years ago

Write a mathematical expression for the phrase 8 divided by x added to the absolute value of 5y

gizmo_the_mogwai [7]

Answer:

|5y|+8/x

Step-by-step explanation:

The mathematical expression is |5y|+8/x

3 0

2 years ago

Use the explicit

Leno4ka [110]

Answer:913

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Suppose that 13 inches of wire costs 78 cents.

Fed [463]

Answer:

I believe that the answer is 6 inches

3 0

2 years ago

Solve for x to the nearest degree (34.3 = 34)

Hoochie [10]

Answer:

48°

Step-by-step explanation:

We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.

This means the tangent of x° = $\frac{10}{9}$ . Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:

$x = arctan (\frac{10}{9})$

Using a calculator, the answer would be:

$x = 48.0128$

Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.

3 0

3 years ago