Ask question

Ask question

All categories

3 years ago

11

|Factor Completely: 2x4 - 200

1 answer:

kozerog [31]3 years ago

7 0

Answer:

2 (x^2-10)((x^2 +10)

Step-by-step explanation:

2x^4 - 200

Factor out 2

2(x^4 -100)

The inside is the difference of squares (a^2 -b^2) = (a-b)(a+b)

2 (x^2-10)((x^2 +10)

You might be interested in

please please please please please please please please please please please please please solve this

NISA [10]

Answer:

I hope that the picture attached will give you the right answer

6 0

3 years ago

Read 2 more answers

The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal siz

9966 [12]

Answer:

$(a)\ Area = 3765.32$

$(b)\ Area = 4773$

Step-by-step explanation:

Given

$A_1 = 169in^2$ --- area of each square

$Shade = 4in$

See attachment for window

Solving (a): Area of the window

First, we calculate the dimension of each square

Let the length be L;

So:

$L^2 = A_1$

$L^2 = 169$

$L = \sqrt{169$

$L=13$

The length of two squares make up the radius of the semicircle.

So:

$r = 2 * L$

$r = 2*13$

$r = 26$

The window is made up of a larger square and a semi-circle

Next, calculate the area of the larger square.

16 small squares made up the larger square.

So, the area is:

$A_2 = 16 * 169$

$A_2 = 2704$

The area of the semicircle is:

$A_3 = \frac{\pi r^2}{2}$

$A_3 = \frac{3.14 * 26^2}{2}$

$A_3 = 1061.32$

So, the area of the window is:

$Area = A_2 + A_3$

$Area = 2704 + 1061.32$

$Area = 3765.32$

Solving (b): Area of the shade

The shade extends 4 inches beyond the window.

This means that;

The bottom length is now; Initial length + 8

And the height is: Initial height + 4

In (a), the length of each square is calculated as: 13in

4 squares make up the length and the height.

So, the new dimension is:

$Length = 4 * 13 + 8$

$Length = 60$

$Height = 4*13 + 4$

$Height = 56$

The area is:

$A_1 = 60 * 56 = 3360$

The radius of the semicircle becomes initial radius + 4

$r = 26 + 4 = 30$

The area is:

$A_2 = \frac{3.14 * 30^2}{2} = 1413$

The area of the shade is:

$Area = A_1 + A_2$

$Area = 3360 + 1413$

$Area = 4773$

7 0

3 years ago

6,2,2/3,..<br> Find the 8th term

Pavlova-9 [17]

Answer:

2/729

Step-by-step explanation:

This is a geometric progression.

6 0

3 years ago

Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, fi

scZoUnD [109]

Answer:

A

Step-by-step explanation:

6 0

3 years ago

The clubhouse has a water tank from which hikers fill their water jugs before walking the trail. The tank is a 5-gallon cylindri

Xelga [282]

Answer: 19.2 inches would be the most reasonable answer, since the first two is too small, and the last answer would be too tall.

if there was 2 feet of water, it would be 24 inches full. taking 1 gallon out, wouldn't make the difference to make it go up or down much.

7 0

3 years ago

Read 2 more answers