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Vinvika [58]
3 years ago
11

Find the radius of a circle with the equation 2x2+y2-6x+2y-45=0

Mathematics
1 answer:
NISA [10]3 years ago
4 0
2x²+y²-6x+2y-45=0
center:(3/2,-1)
vertex1:(3/2,-1+√202/2)
vertex2:(3/2,-1-√202/2)
focus1:(3/2,-1+√101/2)
focus2:(3/2,-1-√101/2)


I hope this helps!!!!!!!!!!
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Write the equation of the line that passes through the points (4,-6) and (-2,3)
yarga [219]

Here is your answer and an explanation

Answer: y = -2/3x

Explanation:

This can be determined by calculating the gradient of the straight line, using:

m=ΔyΔx

=−6−34−(−2)

=−96

=−32

Then we use the slope-point form of the straight line:

y−y1=m(x−x1)

to give:

y−3=−32(x−(−2))

∴y−3=−32(x+2)

∴y−3=−32x−3

∴y=−32x

7 0
2 years ago
Write another fraction that is equivalent to 4/5. Draw a diagram to show that they are equal. Then find the equivalent decimals
MaRussiya [10]

8/10 is an equivalent fraction

3 0
3 years ago
What is the solution of the system of equations? {7/2x−1/2y=9/23x−y=5 Enter your answer in the boxes. ( _ , _ )
dimulka [17.4K]

Answer:

(1, -2)

Step-by-step explanation:

I hope that helps :/

5 0
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erastovalidia [21]
The answer to the first one is ' D '.
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3 0
2 years ago
Evaluate: <img src="https://tex.z-dn.net/?f=%5Csqrt%5B-3%5D%7B27%7D" id="TexFormula1" title="\sqrt[-3]{27}" alt="\sqrt[-3]{27}"
GenaCL600 [577]

Answer:

1/3 is the simplified form for given expression.

Step-by-step explanation:

Given that:

=\sqrt[-3]{27}

By simplifying:

Radical sign will be removed as follows:

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For removing the "-" sign from power, base will be inverted:

= (1/27) ^ {1/3}

27 can also be written as 3 * 3 * 3 = 3^3

So,

= (1/3^3)^{1/3}

= 1^{1/3} / 3^{3* 1/3}

By simplifying we get:

= 1/3

i hope it will help you!

6 0
3 years ago
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