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IrinaVladis [17]
2 years ago
11

Simplify the expression

Mathematics
1 answer:
Masja [62]2 years ago
5 0

The solution to the expression \frac{x^2+7x+12}{x-3} .\frac{x^2-6x+9}{2x^2-18} gives (x + 4)/2

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

\frac{x^2+7x+12}{x-3} .\frac{x^2-6x+9}{2x^2-18} \\\\=\frac{(x +3)(x +4)}{x-3} .\frac{(x-3)(x-3)}{2(x+3)(x-3)} =\frac{x+4}{2}

The solution to the expression \frac{x^2+7x+12}{x-3} .\frac{x^2-6x+9}{2x^2-18} gives (x + 4)/2

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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Yolanda spends 82⁄3 hours per month playing soccer. Approximately how many hours does she play soccer in a year? (There are twel
DanielleElmas [232]

Answer:

104 hours a year

Step-by-step explanation:

Change 8 2/3 to an improper fraction

(3*8 + 2) /3 = 26/3

Multiply 12 * 26/3  for the 12 months she plays

12 * 26/3 = 104 hours


4 0
3 years ago
Right triangle XYZ has right angle Z. If the sin(X)=1213<br> , what is the cos(X)
AlekseyPX

Given:

Right triangle XYZ has right angle Z.

\sin(x)=\dfrac{12}{13}

To find:

The value of \cos x.

Solution:

We know that,

\sin^2(x)+\cos^2(x)=1

\cos^2(x)=1-\sin^2(x)

\cos(x)=\pm\sqrt{1-\sin^2x}

For a triangle, all trigonometric ratios are positive. So,

\cos(x)=\sqrt{1-\sin^2x}

It is given that \sin(x)=\dfrac{12}{13}. After substituting this value in the above equation, we get

\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}

\cos(x)=\sqrt{1-\dfrac{144}{169}}

\cos(x)=\sqrt{\dfrac{169-144}{169}}

\cos(x)=\sqrt{\dfrac{25}{169}}

On further simplification, we get

\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}

\cos(x)=\dfrac{5}{13}

Therefore, the required value is \cos(x)=\dfrac{5}{13}.

6 0
3 years ago
Solve the system algebraically by setting the equations ( y= x+2 y= -3x+10 ) equal to each other. Step by step please
Komok [63]

Answer:

x = 2

Step-by-step explanation:

Set the equations equal to each other

x + 2 = -3x + 10

+ 3x     + 3x            Add 3x to both sides

4x + 2 = 10

    - 2    - 2             Subtract 2 from both sides

4x = 8                     Divide both sides by 4

x = 2

If this answer is correct, please make me Brainliest!

8 0
3 years ago
11. Caroline wraps packages at a store. She wraps
Eddi Din [679]

Answer:

<em>C. in five hours Caroline wraps an odd number of packages</em>

Step-by-step explanation:

<em>for</em><em> A until hours you would multiply 2 by 9 and 2 by 9 is 18 and that's an even number so it's not A.</em>

A eliminated.

for B in 3 hours 3 by 9 is 27 and that's an odd number so B is automatically eliminated.

<em>for C in 5 hours all you would do is multiply the 9 by 5 and 9 by 5 is 45 and 45 is indeed an odd number so C is your answer.</em>

<em>for D 7 by 9 is 63 and 63 is an odd number so we already know that C is the answer but still we got to check and D is wrong because 63 is not an even number.</em>

8 0
4 years ago
Brad and his friends were at the store. Brad found a shirt that was on sale for 40% off and had a 7% tax. He wanted know if he h
mart [117]
I believe the answer is d
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3 years ago
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