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Mazyrski [523]
2 years ago
9

What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 8y + 21=0

Mathematics
1 answer:
NeTakaya2 years ago
7 0

Answer:

Step-by-step explanation:

(x²-6x)+(y²+8y)=-21

(x²-6x+9)+(y²+8y+16)=-21+9+16

(x-3)²+(y+4)²=4

center=(3,-4),radius=√4=2

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Is 5 + 3x1 - x) equivalent to 8 – 8x?
nalin [4]

Answer:

no

Step-by-step explanation:

5+3x is equal to 8x.

if there is no number in front of a variable, it is understood to be a one. so 1-x would basically be 1-1. this cancels out the x, making it impossible for the equivalent equation to be 8 - 8x

3 0
2 years ago
Prove that the absolute value of the sum is less than the sum of the absolute values
Diano4ka-milaya [45]
Southside its homicide we wilin with that crome#wildsidebaby
7 0
3 years ago
The equation x+53=15 can be solved by performing two operations on both sides.
Wewaii [24]
Hey!


You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.

First, let's write out our equation.

<span><em>Original Equation :</em>
</span>x + 53 = 15

Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.

<em>Original Equation :</em>
x + 53 = 15

<em>New Equation {Added Subtract 53 to Both Sides} :</em>
x + 53 - 53 = 15 - 53

Now we have to solve the equation. Let's do the left side first.

<em>Left Side of the Equation :</em>
x + 53 - 53 

<em>Left Side of the Equation {Solved} :</em>
x

Now, we'll solve the right side of the equation.

<em>Right Side of the Equation :</em>
15 - 53

<em>Right Side of the Equation {Solved} :</em>
-38

Now we can put both solutions to both sides of the equation together.

<em>New Equation :</em>
x = -38

Since this cannot be simplified any farther, this is our final answer. And that's it!

<em>So, now we know that in the equation x + 53 = 15,</em>  x = -38

Hope this helps!


- Lindsey Frazier ♥
3 0
2 years ago
The volume of each cube is given. Estimate the side length of the cube to the nearest integer. Use the formula V=s(cubed). The v
sdas [7]
You get 8 if you round up from 8.041451517
and 8 cubed is 512

but if you round from 8.041451517 to 8.04, and you cube it, it equals 519.718464

and if you round that up it would equal 520

or 519.71

so it depends on how you do it
7 0
3 years ago
Lynn is a zoo kepper at matlock zoo.her hourly rate is $6.85.she earns $328.80 every week.how many hours does she works in a wee
77julia77 [94]

Answer:

48 hours

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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