Answer:
5). x = 15
7). JL = 78
Step-by-step explanation:
We can solve these problems with the help of midsegment theorem.
Midsegment theorem:
"Segment joining midpoints of two sides of a triangle is parallel and half the measure of third side of the triangle"
Question 5
8x - 23 = 
8x - 23 = 5x + 22
8x - 5x = 22 + 23
3x = 45
x = 15
Therefore, x = 15 is the answer.
Question 7
Since, MN is the midsegment,
MN = 
5x - 16 = 
5x - 16 = 2x + 17
5x - 2x = 17 + 16
3x = 33
x = 11
Therefore, Length of JL = 4(11) + 34
= 44 + 34
= 78 units
The equation that is given in this item can be mathematically expressed as,
f(x) = (x/7)^(1/3) - 9
The expression f(x) can be replaced with y such that the equation can also be written as,
y = (x/7)^(1/3) - 9
The first thing that needs to be done to get the inverse of the function is to interchange the positions of x and y. In this equation, that becomes,
x = (y/7)^(1/3) - 9
Then, solve for the value of y in terms of x.
Transpose the constant to the other side of the equation.
x + 9 = (y/7)^(1/3)
Raise the whole equation by 3 in order to eliminate the radical.
(x+9)³ = (y/7)
Multiply the equation by 7 to eliminate the fraction.
(x+9)³(7) = y
Thus, the inverse of the function is equal to
<em> f⁻¹(x) = 7(x+9)³
</em><em />The answer is letter B.<em>
</em>
Answer:
x-intercept is (2,0)
y-intercept is (0,-8)
Step-by-step explanation:
to find the 'x-intercept', substitute zero for 'y' and solve:
4x - 0 = 8
4x = 8
x = 2; x-intercept is (2,0)
4(0) - y = 8
0 - y = 8
y = -8; y-intercept is (0,-8)
Answer:
Im pretty sure its B for the first one
Step-by-step explanation:
