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Ivanshal [37]
3 years ago
10

What is the equation of the circle with center (-3.2,2.1) and radius 4.3?

Mathematics
2 answers:
Nutka1998 [239]3 years ago
8 0
(x+3.2)^2+(y-2.1)^2=4.3^2
marissa [1.9K]3 years ago
8 0

Answer:

(x+3.2)^2+(y-2.1)^2=(4.3)^2

Step-by-step explanation:

It is given that the center of the circle is (-3.2,2.1) and radius is 4.3.

Now, the equation of the circle with center (a,b) and the radius 'r' is represented as:

(x-a)^2+(y-b)^2=r^2

Now, the given center is (-3.2,2.1) and radius is 4.3, thus the equation of the circle becomes,:

(x-(-3.2))^2+(y-2.1)^2=(4.3)^2

(x+3.2)^2+(y-2.1)^2=(4.3)^2

Which is the required equation.

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What is the equation of a circle whose center is begin ordered pair negative 4 comma 6 end ordered pair and whose radius is 9 cm
solong [7]

Answer:

(x+4)^2+(y-6)^2=81

Step-by-step explanation:

We want to find equation of a circle with center (-4,6) and radius 9cm.

The equation of a circle with center (h,k) and radius r units is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the radius and the center to obtain;

(x+4)^2+(y-6)^2=9^2

The required equation is:

(x+4)^2+(y-6)^2=81

3 0
3 years ago
If EF=3x-12, FG=4x-15, and EG=29, enter the values of x, EF, and FG.
anzhelika [568]

Answer:

X =8

EF=12

FG=17

Step-by-step explanation:

4 0
2 years ago
Multiply.<br> 8u2y6.2u?y?<br> Simplify your answer as much as possible.
musickatia [10]
The answer is 99.2u squared y squared
3 0
3 years ago
Which equation represents the line that is perpendicular to and passes through (-40,20)?
emmasim [6.3K]

The equation of the perpendicular line to the given line is: y = -5/4x - 30.

<h3>What is the Equation of Perpendicular Lines?</h3>

The slope values of two perpendicular lines are negative reciprocal of each other.

Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.

Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.

Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:

20 = -5/4(-40) + b

20 = 50 + b

20 - 50 = b

b = -30

Substitute m = -5/4 and b = -30 into y = mx + b:

y = -5/4x - 30

The equation of the perpendicular line is: y = -5/4x - 30.

Learn more about about equation of perpendicular lines on:

brainly.com/question/7098341

#SPJ1

8 0
1 year ago
A heated piece of metal cools according to the function c(x) = (.5)x − 11, where x is measured in hours. A device is added that
e-lub [12.9K]
16.5 degrees below the starting temp, whatever that is. If its 0, then -16.5 degrees.

The first equation would be (.5)5-11=-8.5, because the metal has been cooling for 5 hours.

The device that 'aids' in the cooling would be -5-3=-8, because it is a separate variable that cools the metal, so the amount the device cools is independent of the natural cooling amount, and the equation is independent of the natural cooling equation.
You then add -8.5 and -8, because the device has lowered 8.5 degrees and 8 degrees. This equals -16.5 degrees, or a decrease of 16.5 degrees.
7 0
3 years ago
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