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Zielflug [23.3K]
4 years ago
8

A segment has endpoints at (3,−4) and (3,−17) How many units long is the segment?

Mathematics
1 answer:
Zigmanuir [339]4 years ago
4 0
The segment is 13 units long.
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What is the answers?
34kurt
Cos theta would be (adjacent side) / (hypotenuse), or 8/29.  

Thus, the angle theta would be the inverse cosine of 8/29, which is 

1.291 radians or 73.987 degrees.

Given this result, just take the sine of this angle.
6 0
4 years ago
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
3 years ago
Simplify the expression.
Maksim231197 [3]

Answer:

6.8x - 5

Step-by-step explanation:

To answer this question I combined like terms:

(2.5x + 4.3x) - 5

2.5x + 4.3x = 6.8x

Then you add the 5 to the end of the expression:

6.8x - 5

7 0
3 years ago
Draw the image of ∆ABC under the dilation with scale factor 4 and center of dilation (-3, -4).
castortr0y [4]

Answer:

ABC

Step-by-step explanation:

7 0
3 years ago
In a packet of 40 skittles , 30% are red . How many skittles are not red ?
algol13

Answer:

12

Step-by-step explanation:

I just did the math on how much 30% is in 40 and I got the answer 12 I hope this helps you!

7 0
3 years ago
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