Answer:
-184
Step-by-step explanation:
First we plug in -14 into the x's.
4 (-14) - 8(2 - (- 14))
Then we can distribute the 8.
4 (-14) - 16 - 112
Then solve from here.
-56 - 16 - 112
= -184
Answer:
d. 944 mm^3
Step-by-step explanation:
The area of a circle is given by ...
A = πr² . . . . . where r is the radius, half the diameter
The area of a circle with diameter 9 mm is ...
A = π(4.5 mm)² = 20.25π mm²
The area of the semi-circular end of the prism is half this value, or ...
semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²
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The area of the rectangular portion of the end of the prism is the product of its width and height:
A = wh = (9 mm)(6 mm) = 54 mm²
Then the base area of the prism is ...
base area = rectangle area + semicircle area
= (54 mm²) +(31.809 mm²) = 85.809 mm²
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This base area multiplied by the 11 mm length of the prism gives its volume:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the composite figure is about 944 mm³.
If the quiz is worth 50 points and each question is worth 10 that means for every question he could’ve missed would be taking away 10 from that 50. So lets say if he misses 2 questions. 2 x 10 would be 20. You take away 20 from 50 which would be: 50 - 20 = 30. And it goes on from there.
Hope that helps!
1. 15/2 | 2. 1 … if you need examples just reply here
Answer:
X2 = (-2, 1), W2 = (-4, 1), Y2 = (4, -2), Z2 = (-3, 2)
Step-by-step explanation:
First, flip across the y-axis:
Coordinates: X1 = (2, -1), W1 = (4, -1), Y1 = (2, -4), and Z1 = (3, -2)
Then, rotate 180 degrees counterclockwise:
Coordinates: See above
