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3 years ago

Rewrite the expression by factoring out (x-8)

Mathematics

2 answers:

Naddik [55]3 years ago

8 0

Let us factor out (x - 8).

Divide each term by (x - 8).

(x - 8)[5x^2 - 3]

(x - 8)(5x^2 - 3)

Done.

Did you follow?

Airida [17]3 years ago

7 0

Yes it does be correct mate

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If a square has the perimeter of 15.2 centimeters, what are 2 equations that can determine the perimeter of the square?

astraxan [27]

Answer:

1) $P=4s$

2) $P=4\sqrt{A}$

see the explanation

Step-by-step explanation:

we know that

The perimeter of the square is equal to

$P=4s$

where

s is the length side of the square

we have

$P=15,2\ cm$

substitute

$15.2=4s$

solve for s

$s=15.2/4=3.8\ cm$

The area of a square is equal to

$A=s^2$

substitute

$A=3.8^2=14.44\ cm^2$

we have that

$s=\sqrt{A}$

therefore

2 equations that can determine the perimeter of the square are

1) $P=4s$ ----> $P=4(3.8)=15.2\ cm$

2) $P=4\sqrt{A}$ ----> $P=4\sqrt{14.44}=15.2\ cm$

4 0

3 years ago

Find the exact values of cos 3 pi/4 radians sin 3 pi/4 radians.

Liula [17]

If you consult the unit circle, you will see that:

$cos(\frac{3\pi}{4}) = -\frac{\sqrt{2}}{2}\\\\sin(\frac{3\pi}{4}) = \frac{\sqrt{2}}{2}$

3pi/4 in degrees is 3pi/4 * 180/pi = 3/4 * 180 = 135 degrees. And please refer to the attachment to how you can obtain the values above.

Now, lets multiply it together.

$-\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2} =\\\\-\frac{2}{4} =\\\\ \boxed{\bf{-\frac{1}{2}}}$

So, <span>cos(3pi/4)sin(3pi/4) = -1/2</span>

7 0

3 years ago

Help Ill give 100 points!

nata0808 [166]

Answer:

0, 1, 1/2

Step-by-step explanation:

First you would have to make them have the same denominators.

The lowest one they share is 24.

What ever you do to the bottom you have to do to the bottom.

1/6, times each by 4.

1 * 4 = 4

6 * 4 = 24

4/24.

Now you have to do the same thnig for 5/8.

But times it by 3, since 8 times 3 is 24.

5 * 3 = 15

8 * 3 = 24

15/24

Now subtract.

15 - 4 = 11/24

the difference is close to one half.

4/24 = 1/6 is close to 0.

15/24 = 5/8 is close to 1.

4 0

2 years ago

Write an equation of the line that passes through (2001, 35) and (2004.5, 16.1 ) points

Allisa [31]

Answer: If you are looking for Slope-Intercept form (y=mx+b), It would be...

y=-5.4x+10840.4.

If you are looking for Point-Slope form, it would be...

y=-5.4x+10840.4.

Step-by-step explanation: Write in Slope-Intercept from, y=mx+b.

Point-Slope form : Use the Point-Slope formula, y-y1=m(x-x1) to find the equation of the line.

I hope this helps you out! ☺

7 0

2 years ago

Select the correct answer.

Leviafan [203]

Answer:

The graph of function g is the graph of function f shifted 6 units up.

Step-by-step explanation:

Given

$f(x) = 2^x$

$g(x) =2^x + 6$

Required

Compare g(x) to f(x)

Substitute $f(x) = 2^x$ in $g(x) =2^x + 6$

$g(x) = f(x) + 6$

<em>This implies that f(x) is shifted 6 units upward to give g(x)</em>

4 0

2 years ago