Answer:
y = 2x
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 4, y = 8, that is
8 = 4k ( divide both sides by 4 )
2 = k, thus
y = 2x ← equation of proportion
Answer:
height ≈ 31 ft
Step-by-step explanation:
The illustration below will form a right angle triangle. He is standing 17 ft away from the base of the statue. The angle of elevation from the ground to the top of the statue is 61°. The height of the statue can be computed below.
adjacent side of the triangle = 17 ft
opposite side = a
Using SOHCAHTOA principle
tan 61° = opposite/adjacent
tan 61° = a/17
cross multiply
a = 17 tan 61°
a = 17 × 1.80404775527
a = 30.6688118396
a ≈ 31 ft
Answer:
D. the slope of f(x) is greater than the slope of g(x)
Step-by-step explanation:
slope of f(x) =rise/run
=y2 -y1 / x2 -x1
slope of f(x)= -1-2/1-0= -3
g(x)= -5x-6
slope of g(x)= -5
-3>-5
D. the slope og f(x) is greater than the slope of g(x)
Answer:
0.7
Step-by-step explanation:
If we're rounding to one decimal place, we need to round up since it's 0.65.
![{m}^{2} - n \\ Given, \: \: m = 3 \: \: n = 2, then, \\ \: \: {(3)}^{2} - 2 \\ = 9 - 2 \\ = 7](https://tex.z-dn.net/?f=%20%7Bm%7D%5E%7B2%7D%20%20-%20n%20%5C%5C%20Given%2C%20%5C%3A%20%20%5C%3A%20m%20%3D%203%20%5C%3A%20%20%5C%3A%20n%20%3D%202%2C%20then%2C%20%5C%5C%20%5C%3A%20%20%5C%3A%20%20%7B%283%29%7D%5E%7B2%7D%20%20-%202%20%5C%5C%20%20%3D%209%20-%202%20%5C%5C%20%20%3D%207)
<u>Answer</u><u>:</u>
<u>a.</u><u> </u><u>7</u>
Hope you could understand.
If you have any query, feel free to ask.