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notsponge [240]
3 years ago
5

What is the radius of the following circle?

Mathematics
2 answers:
lara [203]3 years ago
7 0

Answer:

The radius is: 2\sqrt{3}

Step-by-step explanation:

The equation of a circle in center-radius form is:

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

Where the center is at the point (h, k) and the radius is "r".

So, given the equation of the circle:

x^2+y^2=12

You can identify that:

r^2=12

Then, solving for "r", you get that the radius of this circle is:

r=\sqrt{12}\\\\r=2\sqrt{3}

lutik1710 [3]3 years ago
6 0

Answer:

r = +2√3

Step-by-step explanation:

The equation of a circle with center at (0, 0) and radius r is

x^2 + y^2 = r^2.

Here we have

x^2 + y^2 = 12,

and so we can deduce that r^2 = 12.  Then r = +2√3.

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Can someone please help me with this last one. I am totally lost and don’t understand
Ad libitum [116K]

Answer:

g(-4) = -1

g(-1) = -1

g(1) = 3

Explanation:

If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.

For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.

Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.

As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.

It is a coincidence that g(-1) = -1.

Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.

We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3

4 0
3 years ago
-1/225x^2+2/3x what is the vertex of this quadratic function?
Julli [10]
\bf \textit{vertex of a parabola}\\ \quad \\\\&#10;&#10;\begin{array}{lccclll}&#10;y=&-\frac{1}{225}x^2&+\frac{2}{3}x\\\\&#10;y=&-\frac{1}{225}x^2&+\frac{2}{3}x&+0\\&#10;&\uparrow &\uparrow &\uparrow \\&#10;&a&b&c&#10;\end{array}\qquad &#10;\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
6 0
3 years ago
Edward is driving a car on the highway. He drives for 28.5 miles in 3/8 of an hour. At this rate, how much distance can he cover
kari74 [83]

Answer:

76 Miles.

Step-by-step explanation:

28.5/3=9.5

9.5(8)=76

5 0
3 years ago
The measure of one angle in a regular octagon is
antiseptic1488 [7]

Answer:45 degrees

Step-by-step explanation:

360/8 sides =45

4 0
3 years ago
A 15 foot ladder is placed on the top of a wall. The distance from the bottom of the wall to the bottom of the ladder is 7 feet.
kati45 [8]

The height of the wall from the question is 13.27ft

<h3 /><h3>Pythagoras theorem </h3>

The theorem states that the square of the longest side is equal to the sum of square of other two sides.

From the given question

Hypotenuse (ladder length) = 15ft

Adjacent = 7feet

Required

Height of the wall H

According to the theorem

15² = 7² + H²

H² = 225 - 49

H² = 176

H = 13.27feet

Hence the height of the wall from the question is 13.27ft

Learn more on pythagoras theorem here; brainly.com/question/343682

#SPJ1

5 0
2 years ago
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