Answer:
(f - g)(x) = 3x² - 2x - 6
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² - 2
g(x) = 2x + 4
(f - g)(x) is f(x) - g(x)
<u>Step 2: Evaluate</u>
- Substitute: (f - g)(x) = 3x² - 2 - (2x + 4)
- Distribute -1: (f - g)(x) = 3x² - 2 - 2x - 4
- Combine like terms: (f - g)(x) = 3x² - 2x - 6
Answer:
t=2
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
We have points (3,10) and (5,t) and the slope is -4
Substituting these in
-4 = (t-10)/ (5-3)
Simplifying
-4 = (t-10) / 2
Multiply by 2 on both sides
-4 = (t-10) / 2 *2
-8 = t-10
Add 10 on both sides
-8+10 = t-10+10
2 = t
The answer is A
A. The pre-image will be congruent to the image.
Answer:
It's both, C and D -> first you move than you scale
Step-by-step explanation:
Answer:
Part A) The area of the figure is 
Part B) The perimeter of the figure is 
Step-by-step explanation:
step 1
Find the area of the figure
we know that
The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD
The area of triangle is equal to

<u>Area of triangle ABD</u>
Observing the graph


substitute

<u>Area of triangle BCD</u>
Observing the graph


substitute

The area of the figure is

step 2
Find the perimeter of the figure
we know that
The perimeter of the figure is equal to

we have

the formula to calculate the distance between two points is equal to
Find the distance AB
Find the distance BC
Find the distance CD
Find the distance AD
substitute the values
