Answer:
f(x)= 3x-8,
f(x)=-17
so
-17 = 3x -8
3x= -17+8
3x = -9
x =-3
Step-by-step explanation:
Question 3
if 7x = 28
divide both sides by 7
7x/7 = 28/7
x = 4
This is division property of equality
Question 1
if angle m is 80 degrees the m = 80 degrees
this can be a congruent angles or alternate angles are equal
this is symmetric property of equality
Question 5
m1 = 30 and mz1 = m2, then m2 = 30
this property is transitive property of equality
Question 2
if RS - TU and TU =YP, then RS = YP
this means you can substitute RS with YP
then we have our new expression as
YP - YP
this is substitution property of equality, this is because we are substituting a function with another function
Answer:
a. 144 ft
b. 5 s
Step-by-step explanation:
h = -16t² + 64t + 80
a. This is a parabola, so the maximum height is at the vertex.
t = -64 / (2 × -16)
t = 2
h = -16(2)² + 64(2) + 80
h = 144
The apple reaches a maximum height of 144 ft.
b. 0 = -16t² + 64t + 80
0 = t² − 4t − 5
0 = (t + 1) (t − 5)
t = -1 or 5
t must be positive, so it takes 5 seconds to reach the ground.
The straight line ON has the following equation :
(x - 18)/(x - 0) = (y - 12)/(y - 0)
Where (18,12) are coordinates of N and (0,0) are coordinates of O.
x - 18/x = y - 12/y
-18y = - 12x
y =12x/18 - - - - - (a)
The coordinates satisfy equation (a) are (7.5, 5)
Therefore D is the correct answer.
Good luck