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sasho [114]
3 years ago
15

Which of these is a part of the prime factorization of 630? a. 3^3 b.5^2x7 c. 3^3x7 d.5^2

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?
erma4kov [3.2K]

Answer:

3y + x = -6

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that m_1 * m_2 = -1

Where m_1 = 3 and m_2 is the slope of the secodnd line

m_1 * m_2 = -1 becomes

3 * m_2 = -1

Divide both sides by 3

\frac{3 *m_2}{m_2} = \frac{-1}{3}

m_2 = \frac{-1}{3}

The equation of the line can be calculated using the folloing formula

m = \frac{y - y_1}{x - x_1}

Where (x_1, y_1) = (12,-6) and m_2 = \frac{-1}{3}

The equation becomes

\frac{-1}{3} = \frac{y -- 6}{x - 12}

\frac{-1}{3} = \frac{y + 6}{x - 12}

Cross multiply

-(x - 12)= 3(y + 6)

-x + 12=3y + 18

Collect like terms

12 - 18 = 3y +x

-6 = 3y + x

3y + x = -6

4 0
2 years ago
75% of the Spanish Club is boys . If there are 36 members in the Spanish club, how many are girls?
7nadin3 [17]
48 i know because i used a calculator
3 0
3 years ago
Find a fration or mixed number that is between -3 1/4 and -3 1/8
Alenkinab [10]
A fraction could be -3 1/6
8 0
2 years ago
The low temperatures for a week in winter were -2° F, -15° F, -7° F, 1° F, -4° F, 5° F, 8° F. What was the average low
Novay_Z [31]

Answer: -2 F

Step-by-step explanation:

To find the average, or <em>mean, </em>of a data set, you must first combine all of the values in the set. Since some of these values are negative, it seems more difficult to solve. But it isn't. To find the mean of any data sets, you can find the absolute value of each numerical value. If you combine these regularly, it would be -15, but that is incorrect. The answer is -2 because some of the values may be negative, but you can find the answer easily. Just remember: To find the mean of data sets with negative values, you can find their absolute values, and solve from there. If this does not work for you, then find another solution. But the correct answer is -2 F.

3 0
3 years ago
Lydia is an architect. She has to design a courtyard garden inside a new hotel. On her blueprint, which is 1/20 the size of the
AlexFokin [52]

Answer:

720 inches

Step-by-step explanation:

On her blueprint, which is 1/20 the size of the actual garden

the width of the garden is 36 inches.

What is the width of the actual garden?

Let width of the actual garden = x

1/20 of x = 36

1/20 * x = 36

x = 36 ÷ 1/20

x = 36 * 20/1

x = 720

x = 720 inches

The width of the actual garden = 720 inches

8 0
2 years ago
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