Equation of a circle that has a center at (h,k) and radius of r is
(x-h)²+(y-k)²=r²
so
given center (-1,2)
(x-(-1))²+(y-2)²=r²
(x+1)²+(y-2)²=r²
sub the other point to find r or r²
it passes through (2,-2)
sub 2 for x and -2 for y
(2+1)²+(-2-2)²=r²
(3)²+(-4)²=r²
9+16=r²
25=r²
5=r
the equation is
(x+1)²+(y-2)²=5²
For the square:
32•48= 1536 in ^2
For the triangle: 48•12= 576/2= 288 in^2
1536+288= 1824 in^2
Answer:
1/2 is the answer. i just took the quiz
Step-by-step explanation:
The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)
<h3>Inequality</h3>
It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
For solving this exercise, it is necessary to find a number solution for the given inequality.
First, you should find the critical points of the inequality.
x+2=0
x = -2
and
x-5=0
x=5
Write, the intervals in between critical points. Therefore, -2<x<5.
Read more about inequalities here.
brainly.com/question/25275758
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