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Lana71 [14]
3 years ago
11

Find the smallest number by which 240 must be multiplied so that the product is a perfect square

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer:

15

Step-by-step explanation:

First we will find the square root of 240

2 240

2 120

2 60

2 30

3 15

5 5

1

2×2×2×2×3×5

We will need 15 to make it a perfect square.

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Read 2 more answers
Find the coordinates of the point 7/10<br> of the way from A to B.
Artyom0805 [142]

Answer:

(2.6, -2.7)

Step-by-step Explanation:

Let X represent the point which is 7/10 of the way from A to B.

AX to XB = 7:10 = AX/XB = 7/10.

Formula for internal division to find the coordinates is:

x = \frac{mx_2 + nx_1}{m + n}

y = \frac{my_2 + ny_1}{m + n}

Where,

A(-4, -8) = (x_1, y_1)

B(12, 5) = (x_2, y_2)

m = 7, n = 10

Substitute the values above into the stated formula to find x and y coordinates as follows:

x = \frac{mx_2 + nx_1}{m + n}

x = \frac{7(12) + 10(-4)}{7 + 10}

x = \frac{84 - 40}{17}

x = \frac{44}{17}

x = 2.6

y = \frac{my_2 + ny_1}{m + n}

y = \frac{7(5) + 10(-8)}{7 + 10}

y = \frac{35 - 80}{17}

y = \frac{-45}{17}

y = -2.7

The coordinates of the point 7/10 of the way from A to B are (2.6, -2.7)

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