Answer:
x = 3
Step-by-step explanation:
If T is the midpoint, that means segments ST and TU are congruent.
Step 1: Set up expression
8x + 11 = 12x - 1
Step 2: Solve
11 = 4x - 1
12 = 4x
x = 3
Answer: x" = 5.69
Step-by-step explanation:
The graphic solution is attached.
Verifying the solution:
Existence condition: x > 0
2x - 4 = √x + 5
√x =2x - 4 - 5
√x =2x - 9 (²)
x = (2x - 9)²
x = 4x² - 36x + 81
4x² - 36x - x + 81 = 0
4x² - 37x + 81 = 0
Δ = -37² - 4.4.81 = 1369 - 1296 = 73
x = 37 ±√73/8
x' = 3.55
x" = 5.69
checking:
2*3.55 - 4 = 3.1
√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution
2*5.69 - 4 = 7.39
√5.69 + 5 = 7.39 ∴ it's the only solution
Answer:
Cluster sampling
Step-by-step explanation:
Cluster sampling refers to the sampling that is used in market analysis. It is used when a researcher can not obtain information as a whole for the population but may obtain information through the groups or clusters
In the given case since andrew divides the residents through regions so this reflected the cluster sampling method
Answer:
y = 7x / 9
Step-by-step explanation:
y=3 when x=15
this is because we can set up a ratio of when x/15 and set it equal to 6/30 and divide them, solve for x.
