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Brilliant_brown [7]
4 years ago
7

What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x/4+5 ?

Mathematics
1 answer:
worty [1.4K]4 years ago
8 0

Answer:

y = -4x+15

Step-by-step explanation:

y=x/4+5 may be presented as y = 1/4 x + 5, where a=1/4, b=5

swapping numerator and denominator and inserting an opposite sign in a=1/4, we have:

1/4 --------> 4/1 -------> -4/1 = -4

y = -4x+n

Point (2,7) means that x=2, y=7 substitute it to the equation y=-4x+n, calculate "n":

7=-4*2+n ------>    7=-8+n ------->   7+8 = n -------> 15=n

substituting n=15 to the equation y=-4x+n, we get finally y=-4x+15


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Which of the following represents the factorization of the binomial below?
noname [10]
The answer is D.

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7 0
3 years ago
Ebook
kiruha [24]

Answer:

y - 4x = 1

Step-by-step explanation:

Given

(x_1,y_1) = (1,5)

(x_2,y_2) = (3,13)

Required

The equation of the line

Back up:

First, calculate the slope(m)

m = \frac{y_2 -y_1}{x_2 - x_1}

m = \frac{13-5}{3-1}

m = \frac{8}{2}

m = 4

Calculate the area using:

y - y_1 = m(x - x_1)

y- 5 = 4(x - 1)

y- 5 = 4x - 4

Collect Like Terms

y - 4x = 5 - 4

y - 4x = 1

7 0
3 years ago
Which of the following points are correct for the equation (multiple answers)
mezya [45]

Answer:

1,5 is your answer

Y=5 and X=1

Insert it in the equation

5=3(1)+2

5=3+2

5=5

Hence proved!

5 0
4 years ago
In a survey of 300 house wires. It was discovered
ruslelena [56]

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

        n(A) = 150

        n(B) = 200

        n(C) = 156

        n(A∩B) = 48

        n(B∩C) = 60

        n(A∩C) = 52

         n(A∪B∪C) = 300

so we know the relation as:

  n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C)  - n(A∪B∪C)

                    = 150 + 200+ 156 - 48 - 60 - 52 - 300

                   = 46

Hence the number of housewives that had read all three magazine is 46.

8 0
3 years ago
The perimeter of an equilateral triangle is 6x - 24. Which expression represents the length of one side?
PIT_PIT [208]

Answer:

side = 2x - 8

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

The perimeter is 3 times one side

In this case P = 6x - 24

Side = p/3 = (6x - 24)/3

Side = 2x - 8

3 0
3 years ago
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