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3 years ago

How does the word equidistant relate to the term perpendicular bisector?

1 answer:

6 0

A perpendicular bisector cuts a line segment directly in half. a property of perpendicular bisectors is that any point on the line of the bisector will be equidistant (the same distance from) both end points.

Ex, If point X was 5 ft away from one endpoint, it would be 5 feet away from the other as well.

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Write an equation in slope-intercept form for the line that has the given slope and contains the point. Please show some work.(

zavuch27 [327]

Answer:

An equation in the slope-intercept form will be:

$y=\frac{-1}{2}x+0$

Step-by-step explanation:

Given the points

(4,-2)

(2,-1)

Finding the slope between points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(4,\:-2\right),\:\left(x_2,\:y_2\right)=\left(2,\:-1\right)$

$m=\frac{-1-\left(-2\right)}{2-4}$

$m=-\frac{1}{2}$

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

substituting the values m=-1/2 and the point (4, -2) to determine the y-intercept i.e. 'b'.

$y=mx+b$

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

$-2+b=-2$

$b=0$

substituting the values m=-1/2 and b=0 to determine the line equation in slope-intercept form

$y=mx+b$

$y=\frac{-1}{2}x+0$

Thus, an equation in the slope-intercept form will be:

$y=\frac{-1}{2}x+0$

8 0

3 years ago

How would you informally prove that you are taking courses online? A.You could show your course notes with the current date. B.Y

Roman55 [17]

Answer:

Step-by-step explanation:

You would get the verification notice from the school of your enrollment I belive.

8 0

4 years ago

Which equation can you use to solve in the figure shown?

Neporo4naja [7]

What’s the figure I couldn’t see anything here.

5 0

3 years ago

A counselor at a middle school must create an arranged schedule of elective classes for the last 2 periods of the day for all of

Vikki [24]

Solution

The counselor has 12 electives courses (e.g. art, band, PE, etc.) to choose from and must select 2 ordered classes for each 6th grade student.

Let S be the sample space.

Then, n(S) = 12C2 = (12 x 11) ÷ (2 x 1 ) = 132 ÷ 2 = 66

$Then, n(S) = 12C2 = (12 x 11) ÷ (2 x 1 ) = 132 ÷ 2 = 66$

Sixty six (66) ways can the counselor arrange the last 2 periods of the day for the 6th grade students

7 0

3 years ago

The area of the base of a square notepad is 2.25 square inches. What is the length of one side of the base of the notepad?

scoundrel [369]

Answer:

1.5 inches

Step-by-step explanation:

Because the base of the notepad is a square, that means that each side of the base would be equal. Since the area is 2.25 square inches, and each side would have to be equal, the equation to solve would be x*x = 2.25, or x^2=2.25. So, you just take the square root of both sides, and x=1.5 inches. Each side of the notepad would be 1.5 inches.

4 0

3 years ago