Hence, the inverse of the given function is
<h2>What is a function?</h2>
function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). A function has three parts, a set of inputs, a set of outputs, and a rule that relates the elements of the set of inputs to the elements of the set of outputs in such a way that each input is assigned exactly one output.
<h3>How to solve?</h3>
given function,
q(x) = 10
say y=q(x)
now we have,
y = 10
=
raising to 5th power on both sides,
= x - 2
x = + 2
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Answer:
Step-by-step explanation:
The slope of the line that goes through the points (-2, 1) and (0, 4) is
The slope of the line that goes through the points (x, y) and (0, 4) is
So
Answer:
distance of diver 1 from the shark ≈ 18.88 m
Step-by-step explanation:
The illustration forms a triangle. The base of the triangle which is their distance apart is given as 30 m . The known angle of the triangle are 52° and 39°. To find the unknown side we subtract the sum of 52° and 39° from 180°. Note that the total angle in a triangle is 180°.
Therefore,
180 - (52 + 39) = 180 - 91 = 89
°. Now the three angle of the triangles are 52°, 39° and 89°.
Using the law of sine we can find the distance of the diver 1 from the shark.
let a = distance of the first diver to the shark.
a/sin 39° = 30/sin 89°
cross multiply
a sin 89° = 30 sin 39°
divide both sides by sin 89°
a = 30 sin 39°/sin 89°
a = 30 × 0.62932039105
/sin 89°
a = 18.8796117315
/0.99984769515
a = 18.8824876258
a ≈ 18.88 m