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4 years ago

Write an appropriate direct variation equation if y = 27 when x = 9

Mathematics

2 answers:

lesantik [10]4 years ago

6 0

Answer: y=3x

Step-by-step explanation:

Yuri [45]4 years ago

4 0

Y = kx where k is a constant

27 = k*9
k = 27/9 = 3

required variation is y = 3x

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The length of the rectangle is 5 inches more than the width. The perimeter of the rectangle is 42 inches. Write an equation to m

Sunny_sXe [5.5K]

Answer:

<h2>Length = 13 in. </h2>

Step-by-step explanation:

perimeter of a rectangle (P) = 2L + 2W

where;

P = 42 in.

Length (L) = 5 + W

Find:

length (L) of the rectangle

solution:

P = 2L + 2W

42 = 2(5 + W) + 2W

42 = 10 + 2W + 2W

42 - 10 = 4W

32 = 4W

W = 32/4

W = 8

Length (L) = 5 + W

= 5 + 8

= 13 in

proof:

42 = 2(13) + 2(8)

42 = 42 in

4 0

4 years ago

Can anyone help me out?

Lana71 [14]

Answer:

3y= -42

y= -14

Step-by-step explanation:

3y= -42

-42/3= -14

y= -14

3 0

3 years ago

What is the slope of the line containing the midpoint of the segment with endpoints at $(2, 4)$ and $(0, -2)$ and the midpoint o

oksian1 [2.3K]

The Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.

<h3>What is the slope of line?</h3>

The slope of a line segment is a measure of the steepness of the line segment. It is the ratio of rise (the change in vertical height between the endpoints) over run (the change in horizontal length between the endpoints.

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line.

Midpoints of 1 line segment are -

= (2+0 / 2 , 4-2 / 2)

= (1,1)

Mid points of line 2 =

= (5+1 / 2, 1+5 / 2)

= (3,3)

slope -

The required slope = rise / run

= (y1-y2)/(x1-x2)

= (1-3)/(1-3)

= 1

Therefore, the Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.