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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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SU and VT are chords that intersect at point R.
vovikov84 [41]

Answer:

<h2>The length of the line segment VT is 13 units.</h2>

Step-by-step explanation:

We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

\frac{RS}{RT} =\frac{RV}{RU}

Where

RS=SR=x+6\\RT=x+4\\VR=RV=x+1\\RU=x

Replacing all these expressions, we have

\frac{x+6}{x+4} =\frac{x+1}{x}

Solving for x, we have

x(x+6)=(x+4)(x+1)\\x^{2} +6x=x^{2} +x+4x+4\\6x-5x=4\\x=4

Now, notice that chord VT is form by the sum of RT and RV, so

VT=VR+RT\\VT=x+1+x+4\\VT=2x+5

Replacing the value of the variable

VT=2(4)+5\\VT=8+5\\VT=13

Therefore, the length of the line segment VT is 13 units.

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3 years ago
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Step-by-step explanation:

For the first inequality, just add 3 to both sides.

For the second inequality, add 4 to both sides then divide both sides by 3.

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