24: 1, 2, 3, 4, 6, 8, 12,
24120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20,
24, 30, 40, 60, 120
The
GCF of
24 and
120 is
24.
Answer:
perimeter = 20.9 units
Step-by-step explanation:
perimeter
perimeter = distance around two dimensional shape
= addition of all sides lengths
<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>
distance formula:

<h3>1) distance of AB</h3>
A(-3,0) B(2,4)
x1 = -3 x2 = 2
y1 = 0 y2 = 4
(substitute the values into the distance formula)


AB = 6.4 units
<h3>2) distance of BC</h3>
B(2,4) C(3,1)
x1 = 2 x2 = 3
y1 = 4 y2 = 1



BC = 3.2 units
<h3>3) distance of CD</h3>
C(3,1) D(-4,-3)
x1 = 3 x2 = -4
y1 = 1 y2 = -3



CD = 8.1 units
<h3>4) distance of AD</h3>
A(-3,0) D(-4,-3)
x1 = -3 x2 = -4
y1 = 0 y2 = -3



AD = 3.2 units
<h2>perimeter of figure</h2>
= AB+BC+CD+AD
= 6.4 + 3.2 + 8.1 + 3.2
= 20.9 units
Answer:
x = 3
Step-by-step explanation:
7x - 9 + 3x = 2x + 18 - x
10x - 9 = x + 18
10x - x = 18 + 9
9x = 27
x = 3
Answer:
4x+5
Step-by-step explanation:
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.