Using the given equation y-3 = 3/4(x+2)
Give Y a value and then solve for x:
If y = 0 the equation is now:
0 -3 = 3/4(x+2)
Solve for x:
-3 = 3/4x + 1.5
-4.5 = 3/4x
x = -4.5 / 3/4
x = -6
So the first point would be (-6,0)
Now make x 0 and solve for y:
y -3 = 3/4(0+2)
y-3 = 0 + 1.5
y = 4.5
So the 2nd point would be (0,4.5)
You are close, but the dot you have on y=4, needs to be moved up to 4.5.
Answer:
B, C
Step-by-step explanation:
The only statements that must be true are ones that describe the markings on the diagram:
NO as an angle bisector
N is the vertex of a pair of congruent angles
_____
The only other fact that must be true is that segments on the left side of the diagram are proportional to those (corresponding) on the right. (This is a property of the angle bisector.) There is nothing that says the sides must be equal, or that the triangle is isosceles.
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Answer: The correct option is
(E) 80,000.
Step-by-step explanation: Given that after adding 4,000 gallons of water to a large tank that was already filled to
of its capacity, the tank was then at
of its capacity.
We are to find the number of gallons of water that the tank hold when filled to capacity.
Let the tank can hold x gallons of water when filled to capacity.
Then, according to the given information, we have

Thus, the required capacity of the tank is 80,000 gallons of water.
Option (E) is CORRECT.
The equation modeling the height of the ball at time,t is given by h=-16t²+48t+6
<span>a. In how many seconds does the ball reach its maximum height?
Time taken for the ball to reach the maximum height will be given by:
h'(t)=-32t+48=0
finding the value of t we get:
32t=48
t=48/32
t=1.5 seconds
Thus the time taken for the ball to reach the maximum time is 1.5 seconds
b]</span><span> What is the ball’s maximum height?
The maximum height will be:
h(1.5)=-16(1.5)</span>²+48(1.5)+6
h(1.5)=42 fee