All categories

3 years ago

Write the equation of the perpendicular bisector of the line segment connecting (10, 3) to (6, -13)

Mathematics

1 answer:

Feliz [49]3 years ago

3 0

Answer:

y = -1/4x - 3

Step-by-step explanation:

Halfway through would be:

(10 + 6 / 2, -13 + 3 / 2) --> (8, -5)

The slope of the line that goes through (10, 3) and (6, -13) is -13 - 3 / 6 - 10 = -16 / -4 = 4.

That means the slope of the line that is perpendicular would be the negative reciprocal of 4, which is -1/4.

Put this in point slope form with slope = -1/4 and point = (8, -5):

y + 5 = -1/4(x - 8)

y + 5 = -1/4x + 2

y = -1/4x - 3

You might be interested in

I’m confused?????????

QveST [7]

Answer:

The equation of the line is y - 3 = 2.5(x - 2) ⇒ D

Step-by-step explanation:

The rule of the slope of a line is m = $\frac{y2-y1}{x2-x1}$ , where

(x1, y1) and (x2, y2) are two points on the line

The point-slope form of a line is y - y1 = m(x - x1), where

(x1, y1) is a point on the line

From the given figure

∵ The line passes through points (2, 3) and (0, -2)

∴ x1 = 2 and y1 = 3

∴ x2 = 0 and y2 = -2

→ Substitute them in the rule of the slope to find it

∵ m = $\frac{-2-3}{0-2}=\frac{-5}{-2}=2.5$

∴ m = 2.5

→ Substitute the values of m, x1, y1 in the form of the equation above

∵ m = 2.5, x1 = 2, y1 = 3

∵ y - 3 = 2.5(x - 2)

∴ The equation of the line is y - 3 = 2.5(x - 2)

6 0

3 years ago

What is a denominator?

DanielleElmas [232]

<span>denominator is </span>number below the line in a common fraction.

Here's picture to show what is a denominator:

6 0

3 years ago

Write the number 119,000,003 in two other forms

pantera1 [17]

One hundred million and three dollars
100,000,000+10,000,000,+9,000,000+3

6 0

4 years ago

Read 2 more answers

13. Four coins with tails up.

sashaice [31]

Answer:

Step-by-step explanation:

8 0

3 years ago

In A fith grade class 3/4 of th students like to go to the movies. Of the students who like to go to the movies 2/3 of them like

bulgar [2K]

--------------------------------------------------------------------------
Fraction of students that like movies:
--------------------------------------------------------------------------
$\dfrac{3}{4}$

--------------------------------------------------------------------------
Fraction of the students like action movies :
--------------------------------------------------------------------------
$\dfrac{2}{3} \times \dfrac{3}{4} = \dfrac{6}{12} = \dfrac{1}{2}$

--------------------------------------------------------------------------
Fraction of the students who like action and comedy movies:
--------------------------------------------------------------------------
$\dfrac{4}{5} \times \dfrac{1}{2} = \dfrac{4}{10} = \dfrac{2}{5}$

--------------------------------------------------------------------------
Answer:
--------------------------------------------------------------------------
$\dfrac{2}{5} \text { of the students like action and comedy movies. }$

4 0

3 years ago