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3 years ago

The measure of two angles are (3x+20) and (5x - 2). What is the value of x if the

Mathematics

1 answer:

adelina 88 [10]3 years ago

8 0

Answer:

x = 9

Step-by-step explanation:

angle 1 plus angle 2 equals 90 because they are complementary. combining like terms gives you 8x + 18 = 90. then you get 8x = 72, which means that x equals 9

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Find the slope intercept form of a linear equation that passes through the points:

Fed [463]

Answer:

y = 2x + 7

Step-by-step explanation:

Find the slope with y2-y1/x2-x1, which is 2

Find y intercept, which is 7

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

in the xy-plane the graph of y=x^2 and the circle with center (0,1) ad radius 3 have how many points of intersection?

IceJOKER [234]

I think this attachment will help you

7 0

3 years ago

Find the distance across the lake. Assume the triangles are similar.

irina1246 [14]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Triangle 1 is composed of line segments AB, BC, and CA.

ANTONII [103]

Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:

B. AC/DF = 5/2

<h3>What are Similar Triangles?</h3>

Similar triangles have corresponding side lengths that are proportional in length.
Similar triangles have same shape but are of different sizes.

Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:

B. AC/DF = 5/2

Learn more about similar triangles on:

brainly.com/question/2644832

8 0

2 years ago

Read 2 more answers