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3 years ago

Find an equation for the perpendicular bisector of the line segment whose endpoints are (-5,5) and -9,-9

Mathematics

1 answer:

cestrela7 [59]3 years ago

5 0

Answer:

y= 3.5x+22.5

Step-by-step explanation:

The standard equation of a line a expressed as y = MX+c

m is the slope

c is the y-intecept

Get the slope

m = y2-y1/x2-x1

m = -9-5/-9+5

m = -14/-4

m = 7/2

Get the y- intercept

Substitute any of the point say (-5,5) and m = 7/2 into the equation y = MX+c

5 = 7/2(-5)+c

5= -35/2+c

5 =-17.5+c

c = 5+17.5

c =22.5

Get the required equation

Recall that y = MX+c

y= 3.5x+22.5

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Answer:

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (-1, 0) and (x₂, y₂ ) = (3, - 3) ← coordinates of endpoints

d = $\sqrt{(3+1)^2+(-3-0)^2}$

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3 years ago

The endpoints of a diameter of a circle are A(3,1) and B(9,9). Find the area of the circle in terms of pie

andrey2020 [161]

Answer:

The answer is $25\pi$ units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

The distance between the $x$ 's is 9-3=6.

The distance between the $y$ 's is 9-1=8.

The distance between the points is given by $\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10$ .

The radius is therefore $\frac{10}{2}=5$ .

We are asked to find the area of this circle.

The formula for finding the area of a circle is $\pi r^2$ .

Since the radius is $5$ , then the area in terms of $\pi$ ,(pi), is $\pi (5)^2=\pi (25)$ .

The answer is $25\pi$ units squared.

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3 years ago

Suppose that a person's peak blood alcohol level is 0.07 (grams per 100 mL) and that this level decreases by 40% each hour.

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Answer:

Step-by-step explanation:

Considering a person peak blood is 0.07

It decrease by 4% every hour

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$f(x) = Ca^x$

where,

a = 1 + r

r = -0.40%

Here,

C = 0.07,

a = 1 - 0.04 = 0.06

$f(x)=0.07(0.6)^x$

<h3>Therefore, hourly decay factor is 0.6</h3>

Here the hourly decay factor is 0.6

$B(x)=ca^x\\\\0.07(0.6)^x$

c) Evaluate

$B(2)=0.07\times (0.6)^2\\\\0.07(0.36)\\\\= 0.0252g$

0.0252g or 100mL

<h3>Thus, after 2 hours the blood is 0.0252g or 100mL</h3>

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3 years ago

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Answer:

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ZanzabumX [31]

Answer:

Step-by-step explanation:

Using rule of negatives and positives:
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This is why C is the correct statement

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2 years ago