Answer:
Substitution
Step-by-step explanation:
In your premises, the state AB = BC is given to be true. In math, substitution is taking one value in an equation and "subbing it out for" one that we know has the same value. This means anywhere we see AB, we can substitute BC and the equation will still be true, because AB = BC.
In the example given, that changes AB + BC = AC to AB + AB = AC.
<u>We substituted the AB with BC, because we know that they are of the same value.</u>
Answer:
Option 4.
Step-by-step explanation:
The vertex form of a parabola is
... (1)
where, a is a constant (h,k) is vertex.
The given function is
The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).
It is given that the vertex of function g(x) is at (5,2).
Substitute h=5 and k=2 in equation.
g(x) is passes through (3, 6).
.... (2)
Divide both sides by 4.
Substitute a=1 in equation (2).
The function g(x) is .
Therefor, the correct option is 4.
Answer:
The total surface area of the prism
=Lateral surface area of prism +
area of the two bases = (2 ×
Base Area ) + Lateral surface
area or (2 × Base Area) + (Base
perimeter × height) .
Step-by-step explanation:
hope it helps
Answer:
A. f(x) = -3x - 4
Step-by-step explanation:
Answer:
a) 0.345
b) 0.005
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 0.3
We are given that the distribution of lengths of lumber is a bell shaped distribution that is a normal distribution.
Formula:
a) P(length greater than 100.12 inches)
P(x > 100.12)
Calculation the value from standard normal z table, we have,
b) Standard error due to sampling:
P(length greater than 100.12 inches for the sample)
P(x > 100.12)
Calculation the value from standard normal z table, we have,