Acircle is represented by the equation below: (x + 8)2 + (y − 3)2 = 100 which statement is true?

The circle is centered at (-8,3) and has a diameter of 20 units

Step-by-step explanation:

we know that

The equation of a circle in center radius form is equal to

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

so

The center is the point (-8,3)

The radius is

so

The diameter is two times the radius

therefore

The circle is centered at (-8,3) and has a diameter of 20 units

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)