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Ilya [14]
3 years ago
9

All rational numbers are integers? True/False

Mathematics
1 answer:
densk [106]3 years ago
4 0

Answer:

True

Step-by-step explanation:

Every rational number is an integer. ... But not all rational numbers are integer. For example 47,34 4 7 , 3 4 . Hence, the statement is FALSE .

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Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


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How many lines of symmetry does this figure have
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Estimated product of 2 1/2 x 2 1/3
tatyana61 [14]
The answer is 35/6. Hope you get it!
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Hello can anyone give me the full answer to this step by step?
Andre45 [30]

Answer:

1. f = 16 degrees

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3x−x+4=4(2x−1)
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