Answer:
its 3
Step-by-step explanation:
Step-by-step explanation:
c = 8 × 4.2 (move 8 from the denominator to the side where the 4.2 is - make c the subject)
c = 33.6
Answer:
C = 3
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. The vertex i at <span>(0, 36) and a focus at (0, 39), then you have:
a=36
a^2=1296
2. The directrix is:
y=a^2=c
c=39
y=1296/39
</span>y=432/13<span>
Therefore, the answer is the option D, which is: </span><span>D. y=± 432/13</span>
Answer:
The shortest side = 5
Step-by-step explanation:
Call one side = a
The middle side = b
the hypotenuse = c
a^2 + b^2 = c^2
a^2 + b^2 = 13^2
a^2 + b^2 = 169
a + b + c = 30
a + b + 13 = 30
a + b = 17
b = 17 - a
a^2 + b^2 = 169
a^2 + (17 - a)^2 = 169
a^2 + (289 - 34a + a^2) = 169
a^2 + a^2 - 34a + 289 = 169 Subtract 169 from both sides
2a^2 - 34a + 289 - 169 = 0
2a^2 - 34a + 120 = 0 Divide by 2
a^2 - 17a + 60 = 0
This quadratic is easily factored. You need two numbers that add to - 17 and multiply to 60
(a - 5) * (a - 12) = 0 Both give you positive answers. You only want the shortest side
a - 5 = 0
a = 5 Is 5 the shortest side?
a - 12 = 0
a = 12 Yes 5 is the shortest side.
