1/3 of 12,000 ballots were thrown out.
1/3 * 12,000 = 12,000/3 = 4,000
4,000 ballots were thrown out.
12,000 - 4,000 = 8,000
There were 8,000 ballots left.
1/4 of 8,000 ballots are for candidate A.
1/4 * 8,000 = 8,000/4 = 2,000
Candidate A received 2,000 votes.
8,000 - 2,000 = 6,000
Candidate B received 6,000 votes.
Answer:
other leg is 8.94
Step-by-step explanation:
Pythagorean Theorem is a² + b² = c²
a and b are legs
c is the hypotenuse
8² + b² = 12²
64 + b² = 144
-64 -64
b² = 80
√b² = √80
b ≈ 8.94
Answer:
g(-1) = -3
Step-by-step explanation:
g(-1) is the y value of the graph when x = -1
when x=-1 y=-3
g(-1) = -3
Answer:
Scale factor, K = -1/4
Step-by-step explanation:
Dilation of any image changes its size and the shape remains same.
The scale factor is the ratio of dilated image to original image.
Dilation rule: (x, y) → (kx, ky), where k is the scale factor.
It means k = x₂/x₁ or y₂/y₁
K = -5/20 = -1/4 or K = -4/16 = -1/4.
<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>
Hence the scale factor is K = -1/4.