Answer:
A. {4,3}
Step-by-step explanation:
x -2y = -2
y = - 3x +15
x - 2(-3x+15) = -2
x +6x - 30 = -2
7x = 28
x = 4
y = - 3x +15 = - 3*4 + 15 = -12 + 15 = 3
{4,3}
Answer:
x = 1 or x = -3/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + x - 3 = 0
The left hand side factors into a product with two terms:
(x - 1) (2 x + 3) = 0
Split into two equations:
x - 1 = 0 or 2 x + 3 = 0
Add 1 to both sides:
x = 1 or 2 x + 3 = 0
Subtract 3 from both sides:
x = 1 or 2 x = -3
Divide both sides by 2:
Answer: x = 1 or x = -3/2
Answer:
11/12
Step-by-step explanation:
55/60 reduced by a factor of 5 becomes 11/12
Answer:
22 ft
Step-by-step explanation:
Height of Susan/Length of shadow = Height of sculpture/Length of Shadow of sculpture
5.5 ft/4 ft = x/16ft
Cross Multiply
4 × x = 5.5 × 16
x = 5.5 × 16/4
x = 22 ft
The height of the sculpture is 22 ft
Answer: Choice B) 3/5
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Explanation:
The smaller horizontal side is JM = 15
The larger horizontal side is NQ = 25
The ratio of these corresponding sides is:
small/large = 15/25 = (5*3)/(5*5) = 3/5
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Alternatively,
The smaller vertical side is ML = 18
The larger vertical side is QP = 30
The ratio of these corresponding sides is:
small/large = 18/30 = (6*3)/(6*5) = 3/5
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Either way, the answer is 3/5
