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Vsevolod [243]
3 years ago
13

Line p has a slope of -3. Line t is perpendicular to line p and passes through the point (9,2). What is the equation for line t?

Mathematics
1 answer:
olganol [36]3 years ago
8 0

Answer:

y = (1/3)x - 1

Step-by-step explanation:

The product of the slopes of perpendicular lines is -1. That makes the slopes of perpendicular lines negative reciprocals. Since line p has slope -3, the slope of line t is 1/3. Also, line t passes through point (9, 2).

y = mx + b

m = slope

y = (1/3)x + b

Now we replace x and y with the x- and y-coordinates of the given point, respectively, and we solve for b.

2 = (1/3)(9) + b

2 = 3 + b

b = -1

Now we replace b with -1.

y = (1/3)x - 1

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4 0
3 years ago
Plz help! (will make brainliest!)​
Ket [755]

Answer:

D

Step-by-step explanation:

If x is not equal to zero, then 1/x can be equal to x.

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D, because x is the same as 1x, which is equivalent to 1/1 (x).

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8 0
3 years ago
Find the distance between the points L(7,-1) and M(-2, 4).
zysi [14]

Answer:

The answer is

\sqrt{106}  \:  \:  \: or \:  \:  \: 10.3 \:  \:  \:  \: units

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

L(7,-1) and M(-2, 4)

The distance between them is

|LM|  =   \sqrt{ ({7 + 2})^{2}  + ( { - 1 - 4})^{2} }  \\  =  \sqrt{ {9}^{2}  +  ({ - 5})^{2} }  \\  =  \sqrt{81 + 25}  \\  =  \sqrt{106}  \:  \:  \:  \:  \:  \:  \:  \\  = 10.29563014...

We have the final answer as

\sqrt{106}  \:  \:  \: or \:  \:  \: 10.3 \:  \:  \:  \: units

Hope this helps you

4 0
3 years ago
Which of the following statements must be true about this diagram? Check
SSSSS [86.1K]

Answer:

f

Step-by-step explanation:

I'm pretty sure it's f from what I know

4 0
3 years ago
Tom exercise a total of 150 minutes in two days he exercise 20 minutes less on the first day then on the second day how many min
elixir [45]

Answer:

60 on the first day and 80 on the second

Step-by-step explanation:

the first day was lesser than the second day by 20 minutes.

so the second day was more than the first day by 20 minutes.

6 0
2 years ago
Read 2 more answers
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