Answer:
y = 36x
Step-by-step explanation:
Given that x and y vary directly then the equation relating the is
y = kx ← k is the constant of variation
To find k use the condition x =
, y = 12, then
k =
=
= 12 × 3 = 36
y = 36x ← equation of variation
Answer:
9.2 feet. b.)
Step-by-step explanation:
This uses the Pythagorean Theorem
Do you notice that the ladder forms a right triangle with the building.
10 feet = hypotenuse length
4 feet = bottom leg length
x feet = height of building
so 10^2 = 4^2 + x^2
100 = 16 + x^2
84 = x^2
x = root(84) = 9.16515 feet about 9.2 feet
Answer:
r=18, -4
Step-by-step explanation:
Answer:
x2 - 6x + 5y = -34
x2 - 6x = -5y + (-34)
x2 - 6x + 9 = -5y + (-34) + 9
x2 - 6x + 9 = -5y - 25
x2 - 6x + 9 = -5 (y + 5)
(x-3)^2 = -5 (y + 5)
From the standard equation: (x-h)^2 = -4c(y-k)
The vertex is (h.k) ----->> (3, -5)
-4c = -5
-4c/4 = -5/4
The focus is (h, k-c) ---->> [(3, -5 - (-5/4)]
Focus : (3, -15/4)
Answer:
55p
Step-by-step explanation:
£1 (100p) - 45p = 55p