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Vlad [161]
3 years ago
14

What is the slope of a line perpendicular to the line whose equation is 2x+4y=-642x+4y=−64. Fully simplify your answer.

Mathematics
1 answer:
labwork [276]3 years ago
5 0

9514 1404 393

Answer:

  2

Step-by-step explanation:

Solving the given equation for y, you have ...

  2x +4y = -64

  4y = -2x -64

  y = -1/2x -16

The coefficient of x is the slope of the given line: -1/2. The slope of the perpendicular line is the opposite reciprocal of this:

  -1/(-1/2) = 2

The slope of the perpendicular line is 2.

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Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)
icang [17]

The equation is y = \frac{3}{2} x - \frac{11}{2}

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )

So, the midpoint will be (\frac{-1+7}{2} , \frac{1-5}{2} )\\\\

                                  = (3,-2)

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula \frac{y_2-y_1}{x_2-x_1}

The slope is \frac{-5-1}{7+1} = -\frac{2}{3}

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of  -\frac{2}{3} is \frac{3}{2}

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}

Thus, the equation becomes:

y = \frac{3}{2} x - \frac{11}{2}

7 0
3 years ago
Which table represents a linear function?
Brrunno [24]

Answer:

Table C is the answer

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP WITH THIS!!! I WILL MARK YOU BRAINLIEST!!!
PolarNik [594]

Answer:

cant you only get brainliest by answering a lot of questions?

Step-by-step explanation:

4 0
3 years ago
PLS HURRY FIRST ONE TO DO IT GETS BRAINLEIST Maria and her classmates are standing with other people in a line of 35 people wait
solniwko [45]

Answer:

7 classmates

Step-by-step explanation:

The last person in the line is in position 35.

The Maria's leading classmate is in the position 35-23+1 = 13.

So, Maria's classmates are from position 13 to 19 (not including herself), and their number is 19-12 = 7 persons.

ANSWER.  Maria has 7 classmates  (not including herself).

Hope this helps.

4 0
3 years ago
1.What is the domain of the given function? ( THE FIRST PIC GOES WITH THIS ONE)
sammy [17]

(A) Domain of given function is {x | x = –6, –1, 0, 3} as domain means all the value in x sets.

(B) The 2nd graph(3rd figure) is representing the Function as there is an unique value for every x values.But in the other figure there is more than one value for one value of x. (Answer)

4 0
4 years ago
Read 2 more answers
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