Answer:
x=-17, y=5. (-17, 5).
Step-by-step explanation:
-2x-5y=9
3x+11y=4
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3(-2x-5y)=3(9)
2(3x+11y)=2(4)
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-6x-15y=27
6x+22y=8
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7y=35
y=35/7
y=5
3x+11(5)=4
3x+55=4
3x=4-55
3x=-51
x=-51/3
x=-17
It is 8 hours so you would do 22+42 and get 64. You would then divide 64 by 8 and get 8 degrees per hour.
Answer:
D
Step-by-step explanation:
if AB is congruent to AC that means both are 76 degrees so subtract that from the total degrees of a whole triangle which is 180 that gives you A which is 28.
Hope it helps :)
Answer:
g(x)=2(x-4)(x+3)
Step-by-step explanation:
Volumen of A Solid
Given a solid with a shape of a constant base B and height H, the volume is:
V = BH
The height of the solid is 1 1/4 ft. We need to calculate the area of the base.
The base consists of a larger rectangle from which has been taken a smaller rectangle.
The larger rectangle has dimensions of 9 ft by 6 ft, thus its area is:
A1 = 9 ft * 6 ft = 54 square ft
The smaller rectangle has dimensions of 2 1/2 ft by 4 ft.
The second dimension was calculated as the difference between 9 ft and 2 ft plus 3 ft. (9 ft - 3 ft - 2 ft = 4 ft).
The area of the smaller rectangle is:
A2 = 2 1/2 * 4
The mixed fraction 2 1/2 is converted to improper fraction:
2 1/2 = 2 + 1/2 = 5/2
Thus, the area is:
A2 = 5/2 * 4
A2 = 10 square feet
The area of the base is A1 - A2 = 54 square feet - 10 square feet = 44 square feet
B = 44 square feet.
Now for the volume:
V = 44 square feet * 1 1/4 feet
Again the mixed fraction is converted to a single fraction:
1 1/4 = 1 + 1/4 = 5/4
V = 44 square feet * 5/4 feet
V = 55 cubic feet