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Snezhnost [94]
2 years ago
9

Which equation represents the line that is perpendicular to and passes through (-12,6)?.

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
7 0

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

y-y_1=m(x-x_1)

  • m is the slope of the lne
  • (x1, y1) is any point on the line.

  • Given the equation y = 3/2x + 1, the slope of the line is 3/5

  • The s<u>lope of the line perpendicular</u> is -5/3

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:brainly.com/question/19417700

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Which ordered pairs are solutions to the equation?
soldier1979 [14.2K]


To solve this you want to plug in your x's and y's to see if they match.

A. 3(11)-4=33-4=29 and 29 is not equal to 5 so A is not a solution

B.3(5)-4=15-4=11=11  3(3)-4=9-4=5 and 5 is not equal to 2 so B is not a solution

C. 3(2)-4= 6-4=2 2 is not equal to 3 so C is not a solution

D is the answer. 3(5)-4=11 and 3(2)-4= 2

6 0
3 years ago
A farmer uses 1/3 of his land to grow corn and 1/4 to grow yams . What fraction of the land is left?
choli [55]

Answer:

7/12

Step-by-step explanation:

3*4=12. 4/12+3/12=7/12.

5 0
3 years ago
Read 2 more answers
Order these numbers from LEAST to GREATEST. A) 2, 11 /8 , 7 /4 B) 7 /4 , 11 /8 , 2 C) 11 /8 , 7 /4 , 2 D) 11 /8 , 2, 7 /4
Nezavi [6.7K]

Answer: 11/8. 7/4. 2

Step-by-step explanation:

7 0
3 years ago
You kayak up a river at a rate of 48 feet every 30 seconds. You kayak 423 feet every 3 minutes on the way back down the river. H
Mariulka [41]

Answer:

You kayak 255 feet farther 5 minutes on the way down the river than in 5 minutes on the way up the river

Step-by-step explanation:

Given:

The rate at which you kayak up a river =  48 feet every 30 seconds.

The rate at which you kayak down a river = 423 feet every 3 minutes

To Find:

How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river = ?

Solution:

Let the speed with which you kayak up the river be x and the speed with which you kayak down the river be y

Then  

x =\frac{48}{0.5}     [ Converting 30 seconds to 0.5 minutes]

x =  96 feet per minute

Similarly

y =\frac{423}{3}

y = 141 feet per minute

Now the distance kayaked  up the river in 5 minutes

=>\text{speed of kayaking up the river} \times time

=>96 \times 10 ( in 5 minutes there are 10  30 minutes)

=>960 feet

Now the distance kayaked down the river in 5 minutes

=>\text{speed of kayaking down the river} \times time

=>141 \times 5 ( in 5 minutes there are 10  30 minutes)

=>705 feet

Thus

960-705 =  255 feet

7 0
3 years ago
I really need help 20 points
Andrew [12]
Number 6 is A because Five times -1 is -5+3×11 equal -2
4 0
3 years ago
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