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3 years ago

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.

Mathematics

1 answer:

natta225 [31]3 years ago

4 0

Answer:Yes they are equivalent.

Step-by-step explanation:

3/4a + 8 - 1/4a - 2 1/2(a + 12)

Combine like terms Distributive property

2/4a+6 1/2a+6

2/4=1/2 (simplify)

1/2+6=1/2+6

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Find the x and y intercepts of 4y = x 9

leonid [27]

4y=x+9
x-intercept (-9,0)
y-intercept (0,9/4)
4y=x-9
x-intercept (9,0)
y-intercept (0,-9/4)

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3 years ago

I need help plish k squared minus 11

timama [110]

Answer: It's an algebraic expression

Step-by-step explanation: k²- 11 is an algebraic expression.

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2 years ago

For ΔABC, which two relationships are true?

Phoenix [80]

The two correct relationships are:

$cos(\theta)=\frac{AB}{AC} = sin(90-\theta)\\\\sin(\theta)=\frac{BC}{AC} = cos(90-\theta)$

<h3>What is a right-angled triangle?</h3>

The triangle shown is a right-angled triangle

Considering < $(90-\theta)^o$

$cos(90-\theta)=\frac{BC}{AC} \\\\sin(90-\theta)=\frac{AB}{AC}\\\\tan(90-\theta)=\frac{AB}{BC}$

Considering < $\theta$

$cos(\theta)=\frac{AB}{AC} \\\\sin\theta)=\frac{BC}{AC}\\\\tan(\theta)=\frac{BC}{AB}$

Comparing < $\theta$ and < $(90-\theta)^o$ , the true statements are:

$cos(\theta)=\frac{AB}{AC} = sin(90-\theta)\\\\sin(\theta)=\frac{BC}{AC} = cos(90-\theta)$

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2 years ago

Solve the proportion for x. 2/9=3/(x+2)

attashe74 [19]

Answer:

x as a fraction: 11 $\frac{1}{2}$

Step-by-step explanation:

Variable x cannot be equal to −2 since division by zero is not defined. Multiply both sides of the equation by 9(x+2), the least common multiple of 9,x+2.

2 ( x+ 2) = 9 x 3

Use the distributive property to multiply 2 by x + 2.

2x + 4 = 9 x 3

Multiply 9 and 3 to get 27.

2x + 4 = 27

Subtract 4 from both sides.

2x = 27 - 4

Subtract 4 from 27 to get 23.

2x = 23

Divide both sides by 2.

x = $\frac{23}{2}$

Simplify

11 $\frac{1}{2}$

Hope it helps and have a great day! =D

~sunshine~

7 0

3 years ago

Read 2 more answers

Last year,Vicki rented 131 videos,and Chris rented 80 videos.Together they rented 173 more videos than the average couple rents

Fynjy0 [20]

Answer: 38 Videos

Step-by-step explanation:

Add Vikki’s and Chris’s videos (131+80=211)

If they rented 173 more than the average couple you need to subtract Vikki’s and Chris’s amount from 173 (211-173=38)

That will give you the average videos other couples rent

3 0

3 years ago

Read 2 more answers

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.￼

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.