Answer:
MN = 4
Step-by-step explanation:
Given that L, M, N are collinear,
LN = 9,
MN = 4x
LM = 5x
Required:
Length of MN
SOLUTION:
To calculate the numerical length of MN, we need to find the value of x.
To find the value of x, generate an equation to solve for x as follows:
(segment addition postulate)
(substitution)
Solve for x
Divide both sides by 9
MN = 4x
plug in the value of x
MN = 4(1) = 4
Functions can be used to model real life situations.
The hose is 3.2 feet above the ground, at a horizontal distance of 4 fee
The function is given as:
At a horizontal distance of 4 feet, the value of x is 4
i.e.
Substitute 4 for x in f(x).
So, we have:
Evaluate the exponent
Open both brackets
Add -4.8 and 8
Hence, the hose is 3.2 feet above the ground
Read more about functions at:
Answer:
No of white balls = 5
Step-by-step explanation:
Given that,
Total no of red balls = 4
Total no of green balls = 6
The probability of not drawing a white ball in one draw be,
We need to find the number of white balls. Let there are x balls.
The probability of drawing a white ball = 1 - the probability of not drawing a white ball
= 1 -2/3
= 1/3
Using the formula for solving probability of having a white ball.
Hence, there are 5 white balls.