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ss7ja [257]
2 years ago
14

Helpppp!!! please!! ​

Mathematics
1 answer:
Aleks04 [339]2 years ago
4 0

Answer:

I just answered this obviously for a previous post.

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Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).
ale4655 [162]

Answer:

The required equation is:

y = -\frac{3}{2}x+9

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)

We will find the slope of given line segment first

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}

Let m_1 be the slope of perpendicular bisector then,

m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}

Now the mid-point

(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

y = m_1x+b

Putting the value of slope

y= -\frac{3}{2}x+b

Putting the point (2,6) to find the y-intercept

6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9

The equation is:

y = -\frac{3}{2}x+9

7 0
3 years ago
Find the exact circumference of a circle with an area equal to 36 sq. in.
DochEvi [55]
The area of the circle is determined through the equation,
                                     A = πr²
Plug in the value of area
                                    36 in² = πr²       ;  r = 3.385 in
The formula for the circumference of the circle is,
                                    C = 2πr
Substitute the value of radius,
                                C = 2π(3.385 in) = 6.77π in
Thus, the circumference of the circle is 6.77π inches. 
8 0
4 years ago
Read 2 more answers
A stock investment went up 25% in 2006. Starting at this increased value, what percent would it have to go down in 2007 to be ba
pentagon [3]
Is it -25%. I’m guessing. I’m not sure if that is correct.
3 0
3 years ago
Read 2 more answers
A probability is the numeric value representing the _________, _________, or _________that a particular event will occur.
Nimfa-mama [501]

Answer:

chance; likelihood; possibility

Step-by-step explanation:

<u>Probability is likelihood or the chance or the probability of the occurring of an event. </u>

Probability is also the number of the ways of achieving the success. It is total number of the possible outcomes.

Thus, probability is:

P=\frac {Number\ of\ favorable\ outcomes}{Total\ number\ of\ outcomes}

4 0
4 years ago
A right triangle has an acute angle measure of 22°. which two numbers represent the lengths of the legs of this triangle?
jek_recluse [69]
I encountered this problem before but it had choices. If this problem had these choices:
<span>A) 2 and 5
B) 3 and 5
C) 4 and 5

Then the correct answer is A) 2 and 5.

We will use the tangent ratio. 

tan</span>Θ = opposite/adjacent

tan 22° = 2/5
0.404 = 0.40

Thus the two numbers that represent the lengths of the legs of the right triangle are 2 and 5.
6 0
4 years ago
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