A scale factor is a number which scales or multiplies a quantity, e.g a scale factor of two would mean to multiply whatever the value is by two. Since there are no specific values for LMN and OPQ, the scale factor of the two would be 1/1 because they are one quantity with respect to the other.
Answer:It would be 22 cents
Step-by-step explanation: 1 3/4 divided by 8 equals 0.21875 and you have to round it by the nearest hundredths which is 0.22
Answer:
x = 3 + sqrt(5) or x = 3 - sqrt(5)
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - 12 x + 8 = 0
Divide both sides by 2:
x^2 - 6 x + 4 = 0
Subtract 4 from both sides:
x^2 - 6 x = -4
Add 9 to both sides:
x^2 - 6 x + 9 = 5
Write the left hand side as a square:
(x - 3)^2 = 5
Take the square root of both sides:
x - 3 = sqrt(5) or x - 3 = -sqrt(5)
Add 3 to both sides:
x = 3 + sqrt(5) or x - 3 = -sqrt(5)
Add 3 to both sides:
Answer: x = 3 + sqrt(5) or x = 3 - sqrt(5)