The type of transformation that maps <span>∆ABC onto ∆A′B′C′ is a
reflection transformation
The triangle is reflected across the line y = 0.
</span><span>
When ∆A′B′C′ is reflected across the line x = -2 to form ∆A″B″C″,
B'' vertex
of ∆A″B″C″ will have the same coordinates as B′</span>
Answer:
or 
Step-by-step explanation:
Given

Required
Solve for x using:

First, we need to identify a, b and c
The general form of a quadratic equation is:

So, by comparison with 

Substitute these values of a, b and c in




Split the expression to two
or 
To solve further in decimal form, we have
or 
or 
or 
Answer:Oof your stuff looks hard!
Step-by-step explanation:
Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:

That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17
Formula: Area = length * width
Substitute in what you know: 42 = length * 6
Divide both sides by 6 to get the length: length = 7
Formula: Perimeter = 2 (length + width)
Substitute in what you know: P= 2 (7+6)
Solve: Perimeter = 26 ft