Ask question

Ask question

All categories

2 years ago

5

Answer the following question!

1 answer:

cestrela7 [59]2 years ago

4 0

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees.

$42 + 12x = 90 \\ 12x = 48 \\ x = 4$

You might be interested in

Micheal used addition to find 9x100 and he said the product was 90. What did he do wrong?

Vlada [557]

Answer:

He did 9 times 10 instead of 9 times 100.

8 0

2 years ago

The cost of a piece of carpet is dependent on its area, in square feet, as shown in the graph.

Bess [88]

Answer:

A. false

B. c = 2.258241758a - 1.923076923

C. $290

Step-by-step explanation:

Part B was solved using a graphing calculator

3 0

3 years ago

Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.

$y=(x-1)^2+2(x-1)$

Expand using the distributive property and the identity $(u+v)^2=u^2+2uv+v^2$ :

$y=(x^2-2x+1)+(2x-2)$

$y=x^2+(-2x+2x)+(1-2)$

$y=x^2+0+-1$

$y=x^2$

So this not the desired result.

Let's look at choice 2.

$x=2t$

$y=4t^2+4t-3$

Solve the first equation for $t$ by dividing both sides by 2:

$t=\frac{x}{2}$ .

Let's plug this into equation 2:

$y=4(\frac{x}{2})^2+4(\frac{x}{2})-3$

$y=4(\frac{x^2}{4})+2x-3$

$y=x^2+2x-3$

This is the desired result.

Choice 3:

$x=t-3$

$y=t^2+2t$

Solve the first equation for $t$ by adding 3 on both sides:

$x+3=t$ .

Plug into second equation:

$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

$y=(x^2)+(6x+2x)+(9+6)$

$y=x^2+8x+15$

Not the desired result.

Choice 4:

$x=t^2$

$y=2t-3$

I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

$\frac{y+3}{2}=t$

Plug into equation 1:

$x=(\frac{y+3}{2})^2$

This is not the desired result because the $y$ variable will be squared now instead of the $x$ variable.

Choice 5:

$x=t+1$

$y=t^2+4t$

Solve the first equation for $t$ by subtracting 1 on both sides:

$x-1=t$ .

Plug into equation 2:

$y=(x-1)^2+4(x-1)$

Distribute and use the binomial square identity used earlier:

$y=(x^2-2x+1)+(4x-4)$

$y=(x^2)+(-2x+4x)+(1-4)$

$y=x^2+2x+-3$

$y=x^2+2x-3$ .

This is the desired result.

3 0

3 years ago

Read 2 more answers

Estimate 76.216+66.36 by first rounding each number to the nearest whole number.

xeze [42]

Answer:

142

Step-by-step explanation:

Round the numbers to their nearest WHOLE NUMBER.

$76.216=76\\66.36=66$

Then ADD

$76+66=142$

6 0

2 years ago

Y=6mx-2b what is y equal to ?

Maksim231197 [3]

Hello there.

<span>Y=6mx-2b what is y equal to

</span>y=<span><span><span>6m</span>x</span>−<span>2<span>b</span></span></span>

7 0

3 years ago