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3 years ago

What is the simplified form of (4ab)^2

Mathematics

1 answer:

Alex3 years ago

7 0

$Use\ (a\cdot b)^n=a^nb^n\\-----------------\\\\(4ab)^2=4^2a^2b^2=\huge\boxed{16a^2b^2}$

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to rationalize the denominator of 5 - sqrt. 7/ 9 - sqrt. 14, you should mulitply the expression by which fraction?

timofeeve [1]

Answer:

9+sqrt(14)

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9+sqrt(14)

Step-by-step explanation:

When we rationalize the denominator, we need to multiply by the conjugate

The denominator has a-sqrt(b), we multiply by a+sqrt(b)

Since we have 9 -sqrt(14), we need to multiply by 9+sqrt(14)

What we do to the bottom, we do to the top, so multiply by 9+sqrt(14) over 9+sqrt(14) which is equal to 1. This does not change the equation.

9+sqrt(14)

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9+sqrt(14)

4 0

3 years ago

A line contains the points (3, -4) and (0, 2). What is the equation of this line in slope-intercept form?

Lera25 [3.4K]

Answer:

B. y = –2x + 2

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

$\frac{4 + 2}{-3 + 0} = -\frac{6}{3} = -2$

In this case, the y-intercept of [0, 2] is ALREADY given to you, so we would not have to go further.

I am joyous to assist you anytime.

8 0

3 years ago

Find X if AX+B=AC+D Would it be (D-B/A)+C?

irinina [24]

Answer:

it will be x=(AC-B+D)/A

Step-by-step explanation:

AX+B=AC+D

AX+B-B=AC+D-B

AX/A=(AC+D-B)/A

X=(AC+D-B)/A

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3 years ago

Finding the Area to ABC (plotted below). All of the examples I’ve seen only discuss points and coordinates when I’m working on a

vovikov84 [41]

Answer:

Explanation:

Given the coordinates of the triangle as:

B(2, -8), C(-6, -2), and D(-7, -5)

The area is obtained using the formula:

$A=\frac{1}{2}\begin{bmatrix}{x_1} & y_1{} & {1} \\ {x_2} & {y_2} & {1} \\ {x_3} & {y_3} & {1}\end{bmatrix}$

Using the given parameters, we have:

$undefined$

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1 year ago

Find the volume of the solid. 6 cm 8cm 15 cm

Bess [88]

Answer:

720 cm^3

Step-by-step explanation:

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3 years ago