Equivalent fractions for 1/3- 2/6, 3/9, 4/12, 5/15...
Equivalent fractions for 1/24- 2/48, 3/96, 4/120...
Answer:
A
Step-by-step explanation:
Answer:
x = 42°
Step-by-step explanation:
You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.
96 • 2 + 2y = 360
168 = 2y
y = 84
x is half of y.
84 ÷ 2 = 42
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
In this case, Maria is rent a kayaks that charge a $10 upfront fee, with an hourly rate of $7.50. Then the equation of the price should look like this: f(x)= 10+7.5x
If Maria has a total money of 70$, then the duration of rent should be:
f(x)= 10+7.5x
70= 10+ 7.5x
7.5x= 70-10
x= 60/7.5= 8 hours