A.) (-2,-4)
(7+3)/2=5, (10+2)/2=6
(-7+5,-10+6)
(-2,-4)
b.)r^2=244
10^2+12^2=244
r=2(61)^(1/2)
c.)(x+2)^2+(y+4)^2=244
153=9*17=3*3*17
so the prime factorization is 3*3*17 (also can be written
*17)
Explanation: If a pyramid and a prism have the same base and height, their volumes are always in the ratio of 1:3 . As volume of prism is 108 cubic meters, volume of pyramid is 13×108=36 cubic meters.
For the first question, you will write a ratio of 1/2 oz:10 pounds. Please see the attached picture. There are 9 groups of 10 oz in 90 oz, so you will need 9 groups of the amount of medicine too!
For the second question, you need to understand that the exponent (2^3) must be evaluated first because all forms of multiplication/ groupings comes first before adding or subtracting.
Exponents are a way of showing repeated multiplication, so it is done first.
