Mathematics: The points (2, r) and (6, -4) lie on a line with slope 4. find the missing coordinate r r=

The points (2, r) and (6, -4) lie on a line with

Ответ:

devinmoore4664

13.03.2022

$\text{The slope-intercept form:}\ y=mx+b\\\\\text{We have:}\ m=4\\\\\text{then}\ y=4x+b\\\\\text{The line passes through point (6; -4). Substitute:}\\\\(6;-4)\to x=6;\ y=-4\\\\-4=4\cdot6+b\\-4=24+b\ \ \ |-24\\b=-28\\\\\text{therefore:}\ y=4x-28$
$\text{substitute}\ (2;\ r)\to x=2;\ y=r\\\\r=4\cdot2-28=8-28=-20$

r = -20

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Ответ:

tamya12234

24.01.2022

Mathematics

The length of the parallelogram is 18 meters

The width of the parallelogram is 16 meters

Step-by-step explanation:

The perimeter of a parallelogram is 68 meters

LEt x be the length of the parallelogram

Width is 2 meters less than its length

Width =x-2

Perimeter of parallelogram = 2(length + width)

Perimeter of parallelogram =

Add 2 on both sides

Divide by 4 on both sides

x=18

The length of the parallelogram is 18 meters

The width of the parallelogram is 18-2= 16 meters

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The points (2, r) and (6, -4) lie on a line with slope 4. find the missing coordinate r r=

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