Rate of change = difference in y values / corresponding difference in x values
For the first function it is (7-6) / (3 - 0) = 1/3
For the second function its the slope of the line rise / run = 2/6 = 1/3
So they are the same
Option C
Answer:
g(x) = x² + 4x + 1
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 2, - 3), thus
y = a(x + 2)² - 3
To find a substitute (2, 13) into the equation
13 = a(2 + 2)² - 3
13 = 16a - 3 ( add 3 to both sides )
16 = 16a ( divide both sides by 16 )
a = 1, hence
g(x) = (x + 2)² - 3 ← expand factor and simplify
= x² + 4x + 4 - 3
g(x) = x² + 4x + 1
a) if AB = CD, then 3CD = 3(CD + 1) NOT TRUE
example: AB = CD = 1, then 3CD = (3)(1)=3 and 3(CD + 1) = 3(1 + 1) = 3(2) = 6
b) if AB = CD, then AB - CD = A - C + B - D NOT TRUE (it does not make sense because A, B, C and D are points)
c) if AB = CD, then AB + EF = CD + EF TRUE
because
AB = CD |add EF to both sides
AB + EF = CD + EF
d) if AB = CD, then 2AB = 2A + 2B NOT TRUE (it does not make sense because A and B are points).
Answer:
B y=54 degrees
Step-by-step explanation:
Since a triangle's angles always add up to 180.
180-72=108
108/2=54
It must be divided by two because y is two angles not one.
Answer:
729 cubic feet
Step-by-step explanation: