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2 years ago

5

Compare the two numbers by choosing <, >or =

1 answer:

vlabodo [156]2 years ago

4 0

Answer:

In order to compare the fractions we can first obtain the LCM of the denominators of the two fractions and that is to say

= LCM of 5 and 3 which is 15

= $\frac{2}{5} * 15$

=6

and also:

= $\frac{1}{3} * 15$

=5

So in conclusion the numbers 6 and 5 will determine the sign to be used and since 6 is for $\frac{2}{5}$ and 5 is for $\frac{1}{3}$ and numerically 6 is greater than 5 therefore:

$\frac{2}{5} > \frac{1}{3}$

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1 year ago

On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is

OlgaM077 [116]

Answer:

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Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

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$O(x,y)$ - Center of dilation.

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First, we proceed to determine the coordinates of the dilated segment:

( $P(x,y) = (10, 40)$ , $Q(x,y) = (70, 120)$ , $O(x,y) = (0,0)$ , $k = 5$ )

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$

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$P'(x,y) = (50,200)$

$Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]$

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Then, the length of the resulting segment is determined by following Pythagorean identity:

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The length of the resulting segment is 500.

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2 years ago