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Sloan [31]
3 years ago
13

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point

(2, −1)?

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
8 0
Your should get the equation y=3x-7 as your answer.
kiruha [24]3 years ago
5 0
This is going to be an long answer, so I'm putting the answer first. y=3x-7

First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3

Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7

Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
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Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle Q? You must show all work and calcu
Firlakuza [10]

Answer:

the measure of angle Q = 92°

Step-by-step explanation:

<u><em>The quadrilateral OPQR is inscribed inside a circle, then its opposite angles are supplementary</em></u>.

………………………………

Then

m∠O + m∠Q = 180

Then

2x + (2x+4) = 180

Then

4x + 4 = 180

Then

4x = 180 - 4

Then

4x = 176

Then

x = 176/4

Then

x = 44

Therefore

m∠Q = 2(44) + 4 = 88 + 4 = 92°

6 0
2 years ago
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
wel

Answer:

n=42, m=42\sqrt{3}

Step-by-step explanation:

The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · \sqrt{3}, which is the same as 42√3.

6 0
3 years ago
Someone please help me ?
iren2701 [21]
What is the full question. I would be able to help if I saw it all. 
3 0
3 years ago
Four times a first number decreased by a second number is - 14. The first
mel-nik [20]

Answer:

f = -5, s = -6

Step-by-step explanation:

F= first number

S= second number

4f - s = -14

f + 3s = -23

3(4f - s = -14)

12f - 3s = -42

+ f + 3s = -23

13f = -65

————

13

f = -5

4f - s = -14

4(-5) - s = -14

-20 - s = -14

+20 +20

-s = 6

———

-1

s = -6

3 0
3 years ago
Which group shows 0.25 of the faces smiling?
Ivahew [28]

Answer:

My dude the groul that shows that tiny bit of smiling must be the beatles or backstreet boys

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3 years ago
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