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AveGali [126]
3 years ago
9

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)

------------------

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)

------------------

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 <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

-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<br><br> 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

4 0
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

8 0
1 year ago
Find the volume of the solid.<br><br><br> 6 cm<br> 8cm<br> 15 cm
Bess [88]

Answer:

720 cm^3

Step-by-step explanation:

8 0
3 years ago
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