Answer:
The answer to your question is letter A
Step-by-step explanation:
Data
Vertex = (-5, -2)
Point = (-4, 2)
This is a vertical parabola the opens upwards.
The equation is
(x - h)² = 4p(y - k)
Substitution
(-4 + 5)² = 4p (2 + 2)
Simplification
1² = 4p(4)
1 = 16p
p = 1/16
Equation of the parabola
(x + 5)² = 4/16(y + 2)
x² + 10x + 25 = 1/4y + 1/2
Conclusion
The coefficient of the squared expression is 1
9514 1404 393
Answer:
(c) (6x^4 – 4)(36x^8 + 24x^4 + 16)
Step-by-step explanation:
The correct factoring can be found by looking at the first exponent in the second set of parentheses.
The factorization of ...
(a^3 -b^3)
is ...
(a -b)(a^2 +ab +b^2)
__
Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...
a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice
Width = w
length = 11w
Pythagoras theorem
a^2 + b^2 = c^2
Let's say the width is a, the length is b, and the distance between corners (call it d) is c
w^2 + 11w^2 = d^2
Collect like terms,
12w^2 = d^2
Simply
12w = d
11, 60, 61 side lengths are a pythagorean triple.
Answer:
Step-by-step explanation:
Disagree, it is not always correct
Consider dividing 5 by 0.5, you get 10 which is greater than what you started with