Factor completely, then place the answer in the proper location on the grid. a^6 - 25b^2

1 answer:

5 0

This is the difference of 2 squares

square root of a^6 = a^3
and square root of 25 b^2 = 5b so we get

(a^3 + 5b)(a^3 - 5b)

Thats the answer

You might be interested in

Jasmine needs to make a bouquet of 24 yellow and orange carnations. The ratio of yellow carnations to all of the carnations must

aleksley [76]

Answer:

Step-by-step explanation:

just did it

4 0

3 years ago

A custom rectangular tabletop has a length that is twice it’s width, and the tabletop measures 76 inches on its diagonal. What a

Sunny_sXe [5.5K]

Answer:

The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.

Step-by-step explanation:

Suppose, the width of the rectangular tabletop is $x$ inch.

As the tabletop has a length that is twice it’s width, so the length will be: $2x$ inch.

The tabletop measures 76 inches on its diagonal.

Formula for length of diagonal of rectangle: $d=\sqrt{l^2+w^2}$

So, the equation will be..........

$76=\sqrt{(2x)^2+ x^2}\\ \\ 76=\sqrt{4x^2+x^2} \\ \\ 76=\sqrt{5x^2} \\ \\ 5x^2= 76^2= 5776\\ \\ x^2= \frac{5776}{5}=1155.2 \\ \\ x= \sqrt{1155.2} =33.988...$

Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.

The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.

5 0

3 years ago

Definition of the math word obtuse triangel

Alexxandr [17]

An obtuse triangle is a triangle which has one obtuse angle. 

Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.

Hope that helps you

4 0

2 years ago

A submarine at 21 feet below sea level suddenly moves up about 6 feet. At what depth is

Artist 52 [7]

Answer:

The submarine is 15 feet below sea level.

Step-by-step explanation:

7 0

2 years ago

Write an equation of the line below.

kogti [31]

The correct answer is y=1/2x-3