(5, 3) is your answer hope this helps!
Answer:
y=2(4^x)
Step-by-step explanation:
if you notice, all the y-values are multiplied by 4 for each x-value. this means 4 is raised to the power of x. however, when you plug this in, you realize that the value produced is only half the actual y-values, so you multiply this whole thing by 2.
y=2(4^x)
Answer:
x = 9.6
Step-by-step explanation:
Given that x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 4 when y = 15
k = 
= 
x = y ← equation of variation
When y = 36, then
x = × 36 = 
= 9.6
Answer:
b = -33, -34, -35, -36, -37, etc...
Step-by-step explanation:
Answer:
(b) 33
Step-by-step explanation:
The side opposite x° and the hypotenuse are given. That means the relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(x°) = 6/11
The value of the angle is found using the inverse sine function:
x° = arcsin(6/11) ≈ 33.056°
x ≈ 33
_____
<em>Additional comment</em>
If you recall, the side length ratios of the "special" 30°-60°-90° triangle are 1:√3:2. Here, you have a shortest:longest side ratio that is 6:11 ≈ 6:12 = 1:2. This means the angle will be only slightly greater than 30°.
