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2 years ago

Find the midpoint of the line segment shown below.

Mathematics

1 answer:

balu736 [363]2 years ago

7 0

Answer:

x²-6x+y²-4y=-4

Step-by-step explanation:

We know the circle equation stands like this:

(x-a)² + (y-b)² = R²

and (a,b) is center

and R stands for Radius

so in this case:

center = (3,2)

R = 3

(x-3)² + (y-2)² = 9

x²-6x+9 + y²-4y+4=9

x²-6x+y²-4y=-4

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HELP ME PLEASE!!! 2(b+3)-(7+b)=-7 ??

Natasha2012 [34]

2(b + 3) - (7 + b) = -7

2b + 6 - 7 - b = -7

b = -6 + 7 - 7

b = -6

4 0

3 years ago

Read 2 more answers

Calculate the lateral area of a rectangular prism with a base with measures of 5.6 in. and 4.3 in. and a height of 10 in.

juin [17]

One formula for the lateral area is
A = 2(LW + H(L+W))

Filling in the given numbers, you have ...
A = 2((5.6 in)·(4.3 in) + (10 in)·(5.6 in + 4.3 in))
= 2(24.08 in² + 99 in²)
= 246.16 in²

7 0

3 years ago

Circles are described below by the coordinates of their centers, C, and one point on their circumference, A. Determine an equati

Art [367]

Using the given center and point at the circumference, the equation of the circles are:

a) $(x - 5)^2 + (y - 2)^2 = 100$

b) $(x + 2)^2 + (y + 5)^2 = 169$

c) $(x - 5)^2 + (y + 1)^2 = 65$

<h3>What is the equation of a circle?</h3>

The equation of a circle of radius r and center $(x_0,y_0)$ is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Item a:

Center C(5,2), hence $x_0 = 5, y_0 = 2$ .

The point at the circumference is A(11,10), hence:

$(x - 5)^2 + (y - 2)^2 = r^2$

$(11 - 5)^2 + (10 - 2)^2 = r^2$

$r^2 = 100$

Hence:

$(x - 5)^2 + (y - 2)^2 = 100$

Item b:

Center C(-2,-5), hence $x_0 = -2, y_0 = -5$ .

The point at the circumference is A(3,-17), hence:

$(x + 2)^2 + (y + 5)^2 = r^2$

$(3 + 2)^2 + (-17 - 5)^2 = r^2$

$r^2 = 169$

Hence:

$(x + 2)^2 + (y + 5)^2 = 169$

Item c:

Center C(5,-1), hence $x_0 = 5, y_0 = -1$ .

The point at the circumference is A(-2,-5), hence:

$(x - 5)^2 + (y + 1)^2 = r^2$

$(-2 - 5)^2 + (-5 + 1)^2 = r^2$

$r^2 = 65$

Hence:

$(x - 5)^2 + (y + 1)^2 = 65$

You can learn more about equation of a circle at brainly.com/question/24307696

4 0

2 years ago

A high speed elevator can rise 480 feet in 30 seconds. Which expression represents the rat9,in feet per minute,of the elevator

Vera_Pavlovna [14]

Y=60x+960 is the answer

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3 years ago

A bicycle has a listed price of $615.98 before tax. If the sales tax rate is 9.75%, find the total cost of the bicycle with sale

Marianna [84]

Step 1
Write your problem.
537.95 x 9.5% = ?

Step 2
Convert the % to a decimal:
9.5% to 0.095

Step 3
Rewrite the problem with decimal replacing the percentage.

Now the problem looks like this:
537.95 x 0.095 = 51.11
This problem gives the amount of the tax.

Step 4
Add the original price with the tax amount:
537.95 + 51.11 = $589.06 (total cost)

7 0

3 years ago