MATHEMATICS HIGH SCHOOL

The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle? A. x2 + y2 − 6x − 16y + 48 = 0 B. x2 + y2 − 6x − 16y − 25 = 0 C. x2 + y2 + 6x + 16y + 48 = 0 D. x2 + y2 + 6x + 16y − 25 = 0

Answers

Answer 1

Answer:

Answer:

A. x² +y² -6x -16y +48 = 0

Step-by-step explanation:

The standard-form equation for a circle centered at (h, k) with radius r is ...

(x -h)² +(y -k)² = r²

For your circle, this is ...

(x -3)² +(y -8)² = 5²

To put this in general form, you subtract the constant on the right, and eliminate parentheses:

x² -6x +9 +y² -16x +64 -25 = 0

x² +y² -6x -16y +48 = 0 . . . . . rearrange to descending powers of x, y

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What is x for number 14.

Answers

It's a right triangle. So

(x²) + (10²) = (7+x)²

x² + 100 = 49 + x² + 14x

That may look ugly, but I'm pretty sure you can handle it from this point.

Wow ! I just noticed that you can subtract x² from each side
and not even have to mess with it again.

x^2 $(x+7)^2=x^2+10^2x^2+14x+49=x^2+10014x+49=10014x=51x=3.64$

Solve for x.
7x = 78

Answers

1.142 is the value of x in the equation 7x = 78.

The given equation is 7x = 78

In the equation x is the variable.

We need to find the value of x.

Divide both sides by 7 to get the value of x

x=78/7

x=11.142

Hence, the value of x in the equation 7x = 78 is 11.142.

To learn more on Equation:

brainly.com/question/10413253

#SPJ2

7x=78---- ---- = 11.147 7

Divide 6,723 ÷ 8. what is the remainder?

Answers

3 is the remainder
_______________

How can I graph y=1000(1+.0925/12)^m

Answers

Panoyin:
Please do not delete.
THIS is the helpful answer.
________________________________

This is the graph of how much money you have in the bank
after 'm' months, if you deposit $1,000 in your account and
the bank is paying you 9.25% per year compounded monthly.

(That also explains why they used 'm' for the variable and not 'x'.)

Here's how you can graph it:

-- Pick a number for 'm'. (Use a small one.)
-- Calculate the value of 'y'.
-- Write down both of them.

-- Do it again.

-- Do it again.

-- Do it again.

-- Do it a few more times.

Mark all the points you have calculated on the graph.
Five or six points should be enough to show you
what the graph is going to look like.
It's NOT a straight line.

$y = 1000(1 + (0.0925)/(12))^(x)$
$y = 1000(1 + (37)/(400))^(x)$
$y = 1000(1(37)/(400))^(x)$

Which is f(5) for the function –2x2 + 2x – 3? –107 –63 –43 –37

Answers

If f(x) = - 2x² + 2x - 3, then f(5) will be
$f(x)=- 2x^(2) + 2x - 3\n f(5)=- 2(5)^(2) + 2(5) - 3\n f(5)=- 2(25) + 10 - 3\n f(5)=-50 + 10 - 3\n f(5)=-43$

Thus, your answer is C, -43.

You can just put that value 5 in place of x and then evaluate the output.

The value of f(5) for the given function is given by:

Option C: -43

How to evaluate functions on a given point?

Use the definition of function to evaluate the function on a given point. Most of the time, in general cases, the function will be algebraic and you just need to replace the input variables with the value of the point you want to evaluate the function on.