Answer:
a
Step-by-step explanation:
1. a) true
1. b) false
1. c) false
1. d) true
2. Sasha could have done a reflection where x = 1 to have done only one transformation.
Answer:
The value of g[f(2)] = 13
Step-by-step explanation:
Given functions:
f(x) = x²
g(x) = 3x + 1
Find:
The value of g[f(2)]
Computation:
f(x) = x²
By putting x = 2 in f(x)
f(x) = x²
f(2) = 2²
f(2) = 2 × 2
f(2) = 4
So the value of f(2) = 4
Value of f(2) putting in g(x)
g(x) = 3x + 1
g(x) = 3x + 1
g[f(2)] = 3[f(2)] + 1
We know that f(2) = 4
So,
g[f(2)] = 3[f(2)] + 1
g[f(2)] = 3[4] + 1
g[f(2)] = 12 + 1
g[f(2)] = 13
The value of g[f(2)] = 13
Answer:
8.2
Step-by-step explanation:
Area of triangle is calculated by multiplying height to the base and that divided by two
20 × h ÷ 2 = 56^2
h = 5.6
The square length of CD is equal to sum of square length of height and base
6^2 + 5.6^2 = CD^2
CD = 8.2
In a parallelogram, opposite angles are congruent. However, the same thing cannot be said for the other.
You can label one pair of opposite angles with x and the other 9x.
You also know that each quadrilateral has interior angles that add up to 360 so you can create the equation of
9x+9x+x+x=360
which can be simplified into
20x=360
x=18
Now, you know the angle measures of one pair of opposite angles. to find the other you plug in 18 to our other equation and multiply 9 to get 162.
The angles of the parallelogram is 18,18, 162 and 162.
Note: you can check if this is right if all the angles add up to 360.
