Answer:
x = 20
Step-by-step explanation:
For a and b to be parallel, they must both add up to 180. Therefore, we can set up an equation:
3x+6x = 180
9x = 180
x = 20
Answer: f(x) = 3(0.7)^x
Because as the exponent (x) of 0.7 grows the result decreases. When x is a big negative number the decay is fast, when the x is a big positive number the decay is low, and the function appraches assymptotically to a constant value. This is the behavior of an exponentially decaying function.
Answer:
Step-by-step explanation:
<em>Refer to picture</em>
Added angles a and b as interior angles of same triangle with angle x to make solving simple.
Angle a is same as 42° since both angles intercept same arc AB.
Angle b is supplementary with 64° angle as linear pair
Some of the interior angles of a triangle is 180
- x + 42° + 116° = 180°
- x + 158° = 180°
- x = 180° - 158°
- x = 22°
The question GIVES us an equation:
V₀ = √(v² - 64h) .
It TELLS us that v should be 100 ft/sec and h is 150 ft.
All we have to do is plug the numbers into the equation,
and then do the arithmetic to find V₀.
There's not even any Physics to do. Only arithmetic.
V₀ = √(v² - 64h)
v = 100
h = 150
V₀ = √(100² - 64·150)
V₀ = √(10,000 - 9,600)
V₀ = √400
V₀ = 20 ft per sec .
