Answer:
Step-by-step explanation:
The direct variation is defined as
where, k is constant of proportionality.
It is given that a direct variation function contains the points (-8,-6) and (12, 9).
Substitute x=-8 and y=-6 in the above equation.
Divide both sides by -8.
The value of constant of proportionality is . So, the required equation is
At x=12,
It means, the line passing through (12,9). Hence, the equation is correct.
Therefore, the equation of the function is .
Answer:
C
Step-by-step explanation:
Answer:
25π/6 yd
Step-by-step explanation:
∠DCE = 110°, so arc DFE = 360° − 110° = 250°.
In radians, that's 250° × π/180° = 25π/18.
Arc length is:
s = rθ
s = (3 yd) (25π/18)
s = 25π/6 yd
string is 125 ft long. How high is the kite off the ground?
Solution:
We are given the reference angle of 40° and the hypotenuse (125 ft) and asked to find the opposite side, how
high the kite is from the ground. We need to use the sine ratio. Let's set up our ratio first.
Sin
40
= x/ 125
Solve for a rounding to the nearest tenth.
2=
3
This represents the height of the kite from Hudson. In order to find the height of the kite, we must add the
Hudson's height (3 ft).
So, the kite is 6
ft. above the ground.
Check
The answers are not 80 and 83. I have tried that.
The kite is approximately 83.35 feet above ground.
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.
Sin = opposite side / hypotenuse
Sin 40 = x/ 125
x = Sin 40 (125)
x = 125 (0.642)
x = 80.3
In order to find the height of kite off the ground, wewill add the height of Hudson to 80.35 feet as well as he is flying the kite.
80.3 + 3 = 83.3 ft tall
Hence, the kite is approximately 83.35 feet above ground.
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Answer:
83.3 ft tall
Step-by-step explanation:
Round to 80.3 and add Hudson's height
80.3 + 3 = 83.3ft tall
Answer:
for the first pack, 1 Itune song would be 1.29 and for the other pack, for one Itune song would be 1.29 also, the relationship between these problem is that they are the same price for 1 song. The total cost for 1 is $1.29 hope this helps, have a great day! ツ
Step-by-step explanation:
Answer:
4 lobsters a day
Step-by-step explanation:
28 / 7 = 4
f(x) = (x + 3)2 − 6
f(x) = (x + 6)2 + 3
f(x) = (x + 6)2 − 6
Answer:
f(x) = (x+3)2+3
Step-by-step explanation: