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sertanlavr [38]
3 years ago
7

What is the equation of the circle?

Mathematics
1 answer:
vodomira [7]3 years ago
4 0

Answer:

( x - (-1) )^2 + ( y - (-1) )^2 = 3^2

Step-by-step explanation:

The equation of a circle is ( x - h )^2 + ( y - k )^2 = r^2, r is the radius.

(h,k) is the coordinates for the center point.

In this image, it appears K is 3 units away from any point on the circle, making 3 the radius.

Our equation is now ( x - h )^2 + ( y - k )^2 = 3^2

Now, we need to find the coordinate of K; the center point.

K's x is -1 and K's y is also -1.

Our equation is now:

( x - (-1) )^2 + ( y - (-1) )^2 = 3^2

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The sum of the measures of the interior angles in a convex polygon is 1.260. How many sides does the polygon have?
Rzqust [24]

Answer:

c. 9.

Step-by-step explanation:

Sum of interior angles = 180(n - 2), so

180(n - 2) = 1260

180n - 360 = 1260

180n =1260 + 360 =   1620

n = 1620/ 180

= 9 sides.

3 0
3 years ago
Find the reference angle for 517°<br> a.23°<br> c.113°<br> b.157°<br> d.67°
MAXImum [283]
Should be 67 or 113 if not then it’s probably 157
6 0
3 years ago
Read 2 more answers
I need some help with this, Thanks
Ghella [55]

Answer:

10. \sqrt[]{x^3}

11. \sqrt[3]{x^5}

12.

a. the sum of 2 rational numbers: is always a rational number. (ex: 2 + 2 = 4)

b. the sum of an irrational and a rational number:  is not rational (ex: 1/3 + π)

c. the product of 2 rational numbers: is a rational number (ex: 45/2 × 4/7 = 90/7)

d. the product of an irrational and a rational number: not rational (ex: 4/5 × π)

Step-by-step explanation:

10. to write an exponent in radical form, we can use the following formula:

a^\frac{z}{n} = \sqrt[n]{a^z}

looking at x^\frac{3}{2}, we can convert it to a radical using the formula, in which x = a, z = 3 and n = 2, we have the following:

\sqrt[]{x^3} < we did not write 2 because 2 is the square root symbol with no need to write a 2

11. using the same formula as above, we can convert the radical into exponential form

in \sqrt[3]{x^5}, our values are: a = x, z = 5 and n = 3. we can write it as:

\sqrt[3]{x^5}

12.

a. the sum of 2 rational numbers: is always a rational number. (ex: 2 + 2 = 4)

b. the sum of an irrational and a rational number:  is not rational (ex: 1/3 + π)

c. the product of 2 rational numbers: is a rational number (ex: 45/2 × 4/7 = 90/7)

d. the product of an irrational and a rational number: not rational (ex: 4/5 × π)

8 0
4 years ago
The sum of the reciprocals of two consecutive odd integers is 24/143. find the two integers.
nordsb [41]
Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)

weird.
4 0
3 years ago
Suppose that a college student is taking three courses: a two-credit course, a three-credit course, and a four-credit course. Th
forsale [732]

Answer:

The overall expected grade point average for the semester is 3.16/3.1 or 3.2 if you round it up.

Step-by-step explanation:

To get the average, you need to add up all the numbers then divide the sum by how many numbers you added.

3.5 + 3.0 + 3.0 = 9.5

9.5 / 3 = 3.16

4 0
3 years ago
Read 2 more answers
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