Answer:
Option 4: x^2+y^2 = 52
Step-by-step explanation:
Given
Centre at origin
Point on circle = (-4, -6)
The distance between origin and point on circle will be the radius of the circle
So,

As the center is at origin the standard equation will be:

Putting the value of r

Hence, last option i.e. Option 4 is correct ..
Answer:
2/5
Step-by-step explanation:
expressing 1 1/2 in an improper fraction:
1 1/2 = 3/2
Hence
(3/5) ÷ (1 1/2)
= (3/5) ÷ (3/2) (convert divide to multiply by flipping divisor fraction)
= (3/5) x (2/3)
= (3 x 2) / (5 x 3)
= 6/15 (divide both numerator and denominator by 3)
= 2/5
Answer:
76
Step-by-step explanation:
I made a chart to simplify it
1 | -8
2| -2
3| 4
4| 10
5| 16
6| 22
7| 28
8| 34
9| 40
10| 46
11| 52
12| 58
13| 64
14| 70
15| 76
Answer:
<h2>Length = 13 in.
</h2>
Step-by-step explanation:
perimeter of a rectangle (P) = 2L + 2W
where;
P = 42 in.
Length (L) = 5 + W
Find:
length (L) of the rectangle
solution:
P = 2L + 2W
42 = 2(5 + W) + 2W
42 = 10 + 2W + 2W
42 - 10 = 4W
32 = 4W
W = 32/4
W = 8
Length (L) = 5 + W
= 5 + 8
= 13 in
proof:
42 = 2(13) + 2(8)
42 = 42 in
The exponents of expression one are the same as the exponents of expression two