Answer:
1. y=-x
2. y=-3/2x-2
3. x=4
4. y=-2x-1
Step-by-step explanation:
slope intercept form is y=mx+b with mx being the slope and b being the y intercept
if its parallel it has to have the same slope.
perpendicular lines have the opposite slope and sign. so if its a whole number you put it over 1 and if its a fraction you switch the values in the numerator and denominator in addition to changing the sign. You keep the y intercept the same.
Bella can cut about 24 pieces because you have to divide 85 feet by 3.5 feet to find out how many pieces which is 24.285 and so on but you just round to 24.
Answer:
Amount of paint to be bought = 10 gallons
Step-by-step explanation:
Amount of paint needed by Mrs. Sullivan to paint her house = 12 gallons
She is already having paint = 8 quarts
Since, 1 quart = 0.25 gallons
Therefore, 8 quarts = 8 × 0.25
= 2 gallons
So, amount of paint she is already having = 2 gallons
Amount of paint to be bought = 12 - 2
= 10 gallons
Answer:
Step-by-step explanation:
To solve this problem you need the function
h(t) = -16t2 + v0t + h0
where t = time
v0 is the initial velocity, which in our case is 0
h0 = initial height, which in our case is 256
h(t) = 0 since we want to know when the ball will hit the ground.
0 = -16 t2 + 256
And we can solve for t
If we rearrange the terms we see that this is a difference of 2 squares
0 = 256 - 16t2
0 = (16-4t)(16+4t)
Setting each factor = 0
16-4t=0 16+4t=4
t = 4 t = -4
The second solution is discarded as time cannot be negative.
So the ball will hit the ground in 4 seconds.
Answer:
x = 710
Step-by-step explanation:
1. Divide both sides by 2 to get x by itself
1420 = 2x
↓
1420 ÷ 2 = 2x ÷ 2
↓
710 = x
2. Switch sides
710 = x
↓
x = 710
I know it is not one of your options but that is the answer to 1420 = 2x
