Number 1 is C.
Number 2 is C.
Did you need all of them?
Answer:
F. 6 x 22
Step-by-step explanation:
- 6 has more than two factors ( 1, 6, 2, 3), which makes it a composite number.
- 22 has more than two factors (1, 22, 2, 11), which makes it a composite number.
- Therefore, F is the correct answer.
Answer:
The answer to your question is 20 feet
Step-by-step explanation:
Data
A = (-2, 1)
B = (4, 1)
C = (-2, -3)
D = (4, -3)
Process
1.- Calculate the distance from C and D
dCD = 
dCD = 
dCD = 6
2.- Calculate the distance from A to C
dAC = 
dAC = 
dAC = 4
3.- Calculate the perimeter
Perimeter = 2(dCD) + 2(dAC)
-Substitution
Perimeter = 2(6) + 2(4)
-Simplification
Perimeter = 12 + 8
-Result
Perimeter = 20 ft
The function is:
f ( x ) = 2 / ( x² + 3 x - 10 )
x² + 3 x - 10 = x² + 5 x - 2 x - 10 = x ( x + 5 ) - 2 ( x + 5 ) =
= ( x + 5 ) ( x - 2 )
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Answer:
The vertical asymptotes are: x = - 5 and x = 2.
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
