Slope = (-5-1)/(7+1) = -6/8 = -3/4
Perpendicular slope = 4/3
Midpoint = ((-1+7)/2 , (1+(-5))/2) = (3, 3)
equation:
y = mx + c
y = 4/3 x + c
at point (3, 3)
3 = 4/3(3) + c
c = 3 - 4 = -1
y = 4/3 x - 1 or 3y = 4x - 3
Answer: A)x²+x-6 B) 2x²-13
Step-by-step explanation: A) (x+3)(x-2)(x-8) = x²-2x+3x-6 = x²+x-6
B) (x+2)(x-2)(x+3)(x-3) =→ x²-2x+2x-4 = x²-4
→x²-3x+3x-9 = x²-9
∴x²-4+x²-9 = <u><em>2x²-13</em></u>
Answer:
Total tape used by marge is 6 inches .
Step-by-step explanation:
As given
marge cut 16 pieces of tape for mounting pictures on poster board.
Total tape marge uses = Number of pieces × Each piece length
Total tape marge uses = 2 × 3
= 6 inches
Therefore the total tape used by marge is 6 inches .
Answer:
134.1 ft²
Step-by-step explanation:
<u>Fine the area of the square first, then subtract the area of the circle to find the area of the shaded part.</u>
The area of the square
= 25²
= 625 ft²
The radius of the circle
= 25 ÷ 2
= 12.5 ft
The area of the circle
= π × 12.5²
= 490.87385...
= 490.9 ft² (rounded up to the nearest tenth)
The area of the shaded part
= 625 - 490.9
= <u>134.1 ft²</u>
The answer is $81.25. Because you take the equation x times .8 = 65 and solve for x.
