What is an equation of the line that is perpendicular to y-3 =-4(x+2)​

Answers

Answer 1
Answer:

Answer:

y - 3 = (1)/(4)(x+2) or choose any line with slope 1/4

Step-by-step explanation:

The slope of this line is -4. The slope of the line perpendicular to this line will be the negative reciprocal or 1/4.

Write the equation using the slope m=1/4 and the point slope form.

y-y_1=m(x-x_1)\ny-3=(1)/(4)(x+2)

This is the equation of the line that is perpendicular and passes through the same point (-2,3) as the equation listed.

Answer 2
Answer:

Answer:

y=(1)/(4) x+c   where c can be any number.

Step-by-step explanation:

First we need to clear for y:

y-3 =-4(x+2)\ny=-4(x+2)+3\ny=-4x-8+3\ny=-4x-5

and now we have an equation of the form:

y=mx+b

where m is the slope and b is the y-intercept.

in this case m=-4 and b=-5

to find and equation perpendicular to this line, the following must be true:m*m_(1)=-1

where m is the slope of the original line that i just mentioned, and m_(1) is the slope of the new line. Substituting m=-4

-4*m_(1)=-1

clearing for m_(1)

m_(1)=(-1)/(-4) \nm_(1)=(1)/(4)

thus, the new perpendicular line must have the form:

y=m_(1)x+c\ny=(1)/(4)x+c

where the y-intecept c can be any number, some examples are:

y=(1)/(4)x+3\ny=(1)/(4)x-8

and so on, the important thing to be a perpendicular line is that the slopes are related to the equation m*m_(1)=-1.


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Answers

It's the parallelogram. Therefore

ML = JK, JM = KL, m∠L = m∠J, m∠M = m∠K and m∠M + m∠L = 180°.

ML = 21 → JK = 21

JM = 29 → KL = 29

m∠L = 127° → m∠J = 127°

m∠M + m∠L = 180° → m∠M + 127° = 180° → m∠M = 53°

m∠M = 53° → m∠K = 53°

F(x)=3(x+5)+4/x, what is f(a+2)

Answers

the answer would be= -2fx+3x^2+15+a/fx

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damon has 5 dimes and some nickels in his pocket worth a total of 1.20 to find the number of nickels damon has a student wrote the eqaution 5n + 50 = 1.20 fine the error in the students eqaution

Answers

the answer to the equation should be in cents whereas it is in dollars which would be incorrect

Answer:

Step-by-step explanation:

The answer is passive aggressive.

Which equation is identity? A.) 11-(2v+3)=-2v-8
B.) 5w+8-=6w-2 (w-4)
C.) 7m-2=8m+4-m
D.) 8y+9=8y-3

Answers

The answer to the question is b.

A farmer has four plots of land,each with an area of 12 acres. He divides them into a number of parts each with an area of 8/9 of an acre how many parts are there on the four plots of land

Answers

Answer:

The number of parts on the four plots are 40.5

Step-by-step explanation:

The number of plots is 4 and each has an area of 12 acres, thus the total area is 36 acres.

Dividing them into a number, n, of parts gives;

                    (36)/(n)

where n is the number of parts.

               (36)/(n) = (8)/(9) of an acre

Thus,

                 n = (36 × 9) acres ÷ 8 acres

                     =  324 ÷ 8

                      = 40.5

Thus it has been divided into 40.5 parts.

total there are 54 parts. however, there are 13 1/2 parts on each plot.