If you plot the points given on a coordinate plane you see that this is a hyperbola that is is horizontal in nature, meaning it opens side to side, not up and down. We can determine the center of it by taking the point equidistant from the vertices, which is (4, 5), the h and k of our center, respectively. Also, the equation looks like this when it is horizontal:
. a is the distance between the center and the vertices, so our a = 2, and c is the distance between the center and the foci, so our c = 3. We need to find b now, using Pythagorean's theorem.
and
. Now we have everything we need to rewrite the equation:
10.) DC
community property
11.) 13+x
community property
12.) 8x-12
distributive property
13.) (2+a)+b
14.) 4(2x+1)= 4+8x
For question 14 you can do 4×2=8x. Then do 4×1=4. It is equal. Just do distributive property for number 14 for 4(2x+1)
A perfect number is a number where the sum of its divisors is equal to the number.
For example 6: 1 + 2 + 3 = 6
Another example is 28: 1 + 2 + 4 + 7 + 14 = 28
Here is a short list of perfect numbers: 6, 28, 496, 8128, <span>33550336, and the numbers get way bigger as we go on.</span>
Answer:
3320in²
Step-by-step explanation:
heron formula = √s(s-a)(s-b)(s-c)
when s = (a+b+c)/2
s = (16+35+25)/2 = 76/2 = 38
heron formula = √s(s-a)(s-b)(s-c) = √78(78-16)(78-35)(78-25) = √78(62)(43)(53) = √11021244 = 3319.82589905≈3319.8in²(nearest tenth)
