Step-by-step explanation:
find slope first
38-8/-14-(-20) = 5
y = 5x + b
find y intercept by sub in any set value show as long as they are belongs together
8 = 5(-20) + b
8 = -100 + b
108 = b
y = 5x + 108
Answer:3x < 8x - 3
Step-by-step explanation:
Answer:
x = 14
EHF = 15 degree GHF = 75 degree
Step-by-step explanation:
(x+1) + (5x+5) = 90
(x+5x)+ (1+5) = 90
6x + 6 = 90
6x = 90-6
6x = 84
x = 84/6
x = 14
EHF + GHF = 90 degree
EHF = x+1
= 14 + 1 = 15
= 15 degree
GHF = 5x+5
= 14 x 5 (+5) = 70 + 5
= 75 degree
EHF = 15 degree GHF = 75 degree
Answer:
0
Step-by-step explanation:
Let's define 3 areas:
- S = area of semicircle with radius 6 in (diameter AB)
- T = area of quarter circle with radius 6√2 in (radius AC)
- U = area of triangle ABC (side lengths 6√2)
The white space between the "moon" and the triangle has area ...
white = T - U
Then the area of the "moon" shape is ...
moon = S -white = S -(T -U) = S -T +U
The area we're asked to find is ...
moon - triangle = (S -T +U) -U = S -T
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The formula for the area of a circle of radius r is ...
A = πr²
So, ...
S = (1/2)π(6 in)² = 18π in²
and
T = (1/4)π(6√2 in)² = 18π in²
The difference in areas is S -T = (18π in²) -(18π in²) = 0.
There is no difference between the areas of the "moon" and the triangle.
