Answer:
Step-by-step explanation:
3/16*3/8
3*3=9
16*8=128
9/128
Answer:
Rational number . . . . . .
When you mention the coefient of the squared term, I assume you mean the value of a in y=a(x-h)²+k and not the value of a in y=ax²+bx+c (actually they are the same)
so
using vertex form
y=a(x-h)²+k
vertex is (h,k)
so, given vertex of (4,-3)
y=a(x-4)²-3
also, a point is when x=5, y=-6 so (5,-6) is a point
sub to find a
-6=a(5-4)²-3
-6=a(1)²-3
-6=a-3
-3=a
so the answer is C
<h3>
Answer: Choice D. 4^2+5^2 = x^2</h3>
See note at the bottom
========================================================
The entire building is 20 feet. Fifteen feet of that is from the ground to the first landing of the stairs or fire escape. So 20-15 = 5 feet represents the height of the second set of stairs (leading to the roof of the building)
The base of the triangle is 4 feet as shown in the diagram. The height is 5 feet as found in the prior paragraph. Use the pythagorean theorem to say
a^2 + b^2 = c^2
4^2 + 5^2 = x^2
Note: If you meant to write 4^2+5^2 = x^2 for choice D, then that would be the answer. Otherwise, there is a typo somewhere.
1/311875200.
There is exactly 1 way to have all 5 of these cards. For the first card, there are 52 total cards to be had; for the second, 51; for the third, 50; for the fourth, 49; and for the fifth, 48:
(1/52)(1/51)(1/50)(1/49)(1/48) = 1/311875200.