Answer:
I think h is 20 I am not sure
Answer:
(a) f⁻¹(x) = 2x - 8
(b) f⁻¹(4) = 0
Step-by-step explanation:
This is usually not too difficult if you write the equation as y = f(x), then swap x and y and solve for y.
... y = (1/2)x + 4 . . . . y = f(x)
... x = (1/2)y + 4 . . . . variables swapped
... x - 4 = (1/2)y . . . . . subtract 4
... 2(x -4) = y . . . . . . multiply by 2
... y = 2x - 8 . . . . . . simplify
... f⁻¹(x) = 2x -8
____
Evaluating this for x=4, we get
... f⁻¹(4) = 2·4 - 8 = 0
Answer:
12
Step-by-step explanation:
v3=36
v=36/3
v=12
Answer:
Step-by-step explanation:
Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as
Hypotenuse² = one leg² + other leg²
Therefore,
h² = (3a)³ + (4a)³
h² = 27a³ + 64a³
h² = 91a³
Taking square root of both sides,
h = √91a³
The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is
√91a³ + (3a)³ + (4a)³
= √91a³ + 91a³
Answer:
(9, 0)
Step-by-step explanation:
We have to solve the system of equations given:
x + 2y = 9
x + 7y = 9
Firstly, lets solve for x in the 1st equation:
x = 9 - 2y
Now substitute this into 2nd equation to solve for y:
x + 7y = 9
(9 - 2y) + 7y = 9
9 -2y + 7y = 9
5y = 0
y = 0
Now replacing y = 0 into first equation, we can solve for x:
x + 2y = 9
x + 2(0) = 9
x + 0 = 9
x = 9
So, the solution is x = 9, y = 0
or
<u>(9, 0)</u>
