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3 years ago

Which expression is equal to

Mathematics

2 answers:

elena55 [62]3 years ago

5 0

Answer:

$\cfrac{\left(x+8\right)\left(x-8\right)}{x^2+13}$

Step-by-step explanation:

$\cfrac{x+8}{x+2}\cdot \cfrac{\left(x+2\right)\left(x-8\right)}{x^2+13}$

$\cfrac{\left(x+8\right)\left(x+2\right)\left(x-8\right)}{\left(x+2\right)\left(x^2+13\right)}$

$\cfrac{\left(x+8\right)\left(x-8\right)}{x^2+13}$

Sergio [31]3 years ago

4 0

Answer: the second option
explanation: below

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Find the length of a rectangle given that the perimeter is 180 feet and the length is 5 times the width.

Tatiana [17]

Answer:

Hi there!

Your answer is:

The length is 75

Step-by-step explanation:

P=180

L=5w

Perimeter formula

L+L+W+W=P

Plug in known values

5W+5W+W+W=180

12W=180

/12

W=15

Plug in width in length formula!

L=5W

L=5(15)

L=75

4 0

4 years ago

Solve the system. Enter the smallest x-coordinate first

pentagon [3]

$y= 3 \,\,,\,\,x= -2 \,\,and\,\, y=3\,\,,\,\, x=2$

Step-by-step explanation:

Solving the following system of equations:

$x^2-y=1\\2x^2+y^2=17$

Let

$x^2-y=1\,\,\,(1)\\2x^2+y^2=17\,\,\,(2)$

Putting value of x^2 in eq(2)

$x^2 = 1+y\\Putting\,\,value\,\,of\,\,x^2\,\,in\,\,eq(2)\\2(1+y)+y^2=17\\2+2y+y^2=17\\y^2+2y+2-17=0\\y^2+2y-15=0\\Factorizing:\\y^2-3y+5y-15=0\\y(y-3)+5(y-3)=0\\(y+5)(y-3)=0\\y+5=0 \,\,and \,\, y-3=0\\y = -5 \,\,and \,\, y=3$

Now, finding value of x

Putting y=-5

$x^2 = 1+y\\x^2=1-5\\x^2=-4\\Taking\,\,square\,\,root\\x= \pm2i$

y=-5, x= 2i and y=-5 , x= -2i

Since we need to find x and y coordinates and its value cannot be in terms of i so we will not consider these as answer

Putting y=3

$x^2 = 1+y\\x^2=1+3\\x^2=4\\Taking\,\,square\,\,root\\x= \pm2$

So, $y= 3 \,\,,\,\,x= -2 \,\,and\,\, y=3\,\,,\,\, x=2$

Keywords: system of equations

Learn more about system of equations at:

#learnwithBrainly

8 0

3 years ago

Fourteen subtracted from 2 times a number is 28. Write an equation?

Alecsey [184]

Step-by-step explanation:

let the unknown number be x

1St step: twice the number is 2(x) =2x

2nd step: 2x -14

3rd step: 2x - 14=28...

5 0

3 years ago

Which statement about rational numbers is true? All rational numbers are fractions. Rational numbers never have repeating decima

AysviL [449]

Answer:

All fractions containing integers are rational numbers.

Step-by-step explanation:

Any number written in <em><u>p/q form where q is not equal to 0 </u></em>is a rational number.

Example: 5/1 = 5, 2/3, 7/4, etc

This includes integers, terminating decimals, and repeating decimals as well as fractions.

An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number

5 0

3 years ago

The question is in the picture

spayn [35]

Answer:

x = 10

Step-by-step explanation:

Notice that in order to solve for the final solution of x, we must look at the second step.

We use the multiplicative property of equality and multiply both sides by 5. When we do so, the left side results in simply: $\frac{1}{5} x*5=\frac{5}{5} x=x$ . Meanwhile, the right side results in: $\frac{6}{3} *5=\frac{30}{3} =10$

Thus, we have x = 10.

Hope this helps!

7 0

3 years ago

Read 2 more answers