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shutvik [7]
3 years ago
14

Write an equation of the lines passes through (4,1) and is parallel to y= -2x+7

Mathematics
1 answer:
Nastasia [14]3 years ago
5 0

Answer:

y = -2x + 9

Step-by-step explanation:

The parallel line has an equation of y = -2x + 7;

And its slope is -2.

The slope of the line that passes through (4,1) is also -2 since parallel lines have the same slope.

Taking another point (x,y) on the line that passes through (4,1):

slope(m) = change in y ÷ change in x

-2 = \frac{y - 1}{x - 4}

Cross multiplying gives;

y - 1 = -2x + 8

y = -2x + 9

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1. A parallelogram is a four sided figure that has two pairs of parallel, opposite sides. Parallelogram ABCD is
sveta [45]

Answer:

The reason is that the since the segment AB and the new line passing through A are both parallel to the segment CD and all points on the new line and the segment AB are the same perpendicular distance from CD and the segment AB and the new line which follow the same direction share a common point, A, then the line drawn must fall on AB

Step-by-step explanation:

The given information are;

The shape of the quadrilateral ABCD = A parallelogram

The direction of the line to be drawn = Parallel to CD

A point on the line to be drawn = Point A

Therefore, given that ABCD is a parallelogram, we have;

Segment AB is parallel to segment CD

All points on AB are equidistant from all points on CD

The perpendicular distance of point A from the lime CD = The perpendicular distance of point B from the lime CD

The line to be drawn is also parallel to CD with point A located on the line, therefore, given that the length of a line is infinite, and all points on two parallel lines have equal perpendicular distance from the each other, the point B on the segment AB which has the same perpendicular distance as the point A from the segment CD will be located on the new line passing drawn passing through A and parallel to the segment CD then the new line drawn must coincide with the segment AB.

5 0
4 years ago
Consider the following functions.
spin [16.1K]

The value of (f+g)(1) is 3.

In this question we must apply the definition of addition between functions, whose operation is described below:

(f+g) (x) = f(x) + g(x) (1)

(x, (f+g)(x)) = (x, f(x))+(x, g(x)) (1b)

If we know that (x, f(x) ) = (1,1) and (x,g(x)) = (1,2), then the result of the operation is:

(1, (f+g) (1)) = (1, 3)

The value of (f+g)(1) is 3.

We kindly invite to check this question on functions: brainly.com/question/12431044

4 0
3 years ago
HELPPPPP ITD EASYYYYYYY!!
Kruka [31]

Answer:

11/24

Step-by-step explanation:

11/24 is your answer :) Hope this helps! I'd appriciate brainliest

3 0
3 years ago
Read 2 more answers
Farmer brown picked some oranges ,he gave 3/8 to John and 2/3 of the remainder to steve if steve received 75 oranges how many or
Wittaler [7]
We know that 75 equals 2/3 of the remainder
which means 1/3 of the remainder is equal to 75/2 (37.5)
if 1/3 equals 37.5 then 3/3 (or all of the remainder) is equal to 3*37.5 (112.5)
We know that the remainder equals 5/8 of the oranges since
8/8-3/8= 5/8
We know that 112.5= 5/8, which mean 1/8 is equal to 112.5/5 (22.5) and that 8/8 or the total number of oranger equals 22.5*8 (180)

RESULT:
180 oranges

3 0
3 years ago
Compute the perimeter of the figure below. Round to the nearest whole number.
lilavasa [31]

Answer:

D

Step-by-step explanation:

2 * sqrt(8) + 2 * sqrt(18) = 14

6 0
3 years ago
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