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GaryK [48]
2 years ago
12

Solve the equation for y (y-3)^2=4y-12

Mathematics
1 answer:
Ket [755]2 years ago
8 0
(y -3)^2 = 4y - 12

Expand.

(y-3)(y -3) = 4y - 12

y² - 6y + 9 = 4y - 12

y² - 6y -4y + 9 + 12 = 0

y² - 10y + 21 = 0

Factors are -7y and - 3y

y² - 10y + 21 = 0

y² - 3y - 7y + 21 = 0

y(y - 3) -7(y - 3) = 0

(y - 3)(y - 7) = 0

y-3 = 0   or    y - 7 = 0

y = 0 + 3  or  y = 0 + 7

y = 3 or 7
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5 less than the difference of a number f and 35
Fiesta28 [93]

Answer:

See below.

Step-by-step explanation:

There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.

(f-35)-5=f-35-5

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OR

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3 0
3 years ago
Find two geometric means between 10 and 1250.
Roman55 [17]
Finding two geometric means between 10 and 125:
a 1 = 10,  a 4 = 1250
a 4 = a 1 * q^3
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q^3 = 1250 : 10
q^3 = 125
q = 5
a 2 = 10 * 5 = 50
a 3 = 10 * 5² = 10 * 25 = 250
Answer: The two geometric means are: 50 and 250, since 10, 50, 250 , 1250 forms a geometric sequence.
 

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2 years ago
Can 12 be part of more than one fact family? Explain.
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A fact family is a group of math facts using the same numbers. In the case of addition/subtraction, you use three numbers and get four facts. For example, you canform a fact family using the threenumbers 10, 2, and 12: 10 + 2 = 12, 2 + 10 = 12, 12 − 10 = 2, and 12 − 2 = 10.
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What. is the median of the data set: {24, 31, 12, 38, 12, 15}​
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A square has an area of 100 in2.<br><br> What is the perimeter of the square?
Travka [436]
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