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3 years ago

Can you turn 160/135 into a mixed number please?

Mathematics

2 answers:

Misha Larkins [42]3 years ago

8 0

1 25/135 which u can simplify to 1 5/ 27

Greeley [361]3 years ago

7 0

Mixed number: 1 25/135
Simplified Fraction: 1 5/27

Divide 160 by 135 to get 1, with a remainder of 25.

To simplify, 25/5 = 5, 135/5 = 27.

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3 years ago

Lines AD and EC meet at point B. Which of the following statements must be true? Select All that apply.

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The angles produced are vertically opposite angles, thus opposite angles are congruent. The applicable statements are; A, B, C and D.

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3 years ago

find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope

Paraphin [41]

Slope-intercept form:

y = mx + b "m" is the slope, "b" is the y-intercept

For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2

3.) y = 2x - 2

The given line's slope is 2, so the perpendicular line's slope is -1/2

$y=-\frac{1}{2}x+b$ To find "b", plug in the point (-5 , 5) into the equation

$5=-\frac{1}{2}(-5)+b$

$5=\frac{5}{2}+b$ Subtract 5/2 on both sides

$5-\frac{5}{2}=b$ Make the denominators the same

$\frac{10}{2}-\frac{5}{2}=b$

$\frac{5}{2}=b$

$y=-\frac{1}{2}x+\frac{5}{2}$

4.) -6x + 5y = -10 Get "y" by itself, add 6x on both sides

5y = -10 + 6x Divide 5 on both sides

$y=-2+\frac{6}{5}x$

The given line's slope is 6/5, so the perpendicular line's slope is -5/6.

$y=-\frac{5}{6}x+b$ Plug in (-2, 5)

$5 = -\frac{5}{6}(-2)+b$

$5=\frac{10}{6}+b\\ 5=\frac{5}{3}+b$ Subtract 5/3 on both sides

$5-\frac{5}{3} =b$ Make the denominators the same

$\frac{15}{3}-\frac{5}{3}=b\\\frac{10}{3} =b$

$y = -\frac{5}{6}x+\frac{10}{3}$

7.) Perpendicular line's slope is -2

y = -2x + b Plug in (1,4)

4 = -2(1) + b

4 = -2 + b

6 = b

y = -2x + 6

8.) Perpendicular line's slope is -1/4

$y = -\frac{1}{4}x+b$ Plug in (-5 , 2)

$2=-\frac{1}{4}(-5)+b$

$2 = \frac{5}{4}+b$ Subtract 5/4 on both sides

$2-\frac{5}{4}=b$ Make the denominators the same

$\frac{8}{4}-\frac{5}{4}=b$

$\frac{3}{4}=b$

$y=-\frac{1}{4}x+\frac{3}{4}$

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3 years ago