So. We need to look at points. We know our X values, and our Y values. (X,Y)
(-4,-6) and (2,6)
The best way to approach this would be to graph the points that are given. You can use any app or graphing calculator you'd like.
So, for the first one, We need to find (-4) by going to the left, then proceeding to go down by (-6).
We then can proceed to do this for the other ones and calculate the slope intercept form in this way.
OR!
We can calculate it before hand by using the equation:
(Y2-Y1)÷(X2-X1)
Pick which equation will represent one, and which one will represent two.
I will choose (-4,-6) as Equation 1 and (2,6) as equation two.
We then plug it into the equation to look like:
(-6-6)÷(-4-2)
Your answer: -12/-6
Your slope is 2.
We then will graph it by placing it in slope intercept form.
Since we know our slope is two, We can go ahead and insert it. When the two points are finally graphed, We see they cross rhe Y-Axis at 2.
YOUR SLOPE INTERCEPT FORM IS:
Y=2x+2
From the image, we can see the amount of water in Liters are in the beaker.
The beaker is marked with numbers that are skip counting by 10. (10,20,30) so on. There are 4 ticks below the 10, 5 if you count the 10.
So that means 10/5 = 2 L per tick.
The water goes above the 30 mark and under the 40 mark, which means it's somewhere in the 30's.
Since each tick is 2 L, and the water goes to the third tick:
2L + 2L + 2L = 6L.
Add 6L to 30: 30+ 6L = 36L
Answer:
<em>4 seconds, 256 ft</em>
Step-by-step explanation:
First, we'll go through what needs to be done. Then we'll do it.
When h is 0, the fireworks is at a height of 0, or ground level. That happens before it is launched, at time 0 and when it falls back to the ground after going up and down. We let h = 0, and solve for t. We get t = 0, and another value for t which is when it hits the ground on the way down. The midpoint between the two times of height zero is the time at which maximum height is reached. Then we input the maximum height time into the equation and find h, the maximum height.
Now we'll solve it. First, we set the height equation equal to zero and solve for t.
-16t^2 + 128t = 0
-16t(t - 8) = 0
t = 0 or t - 8 = 0
t = 0 or t = 8
The height is zero at t = 0 seconds and at t = 8 seconds.
Maximum height is reached at the midpoint of the two times above.
(0 + 8)/2 = 8/2 = 4.
The firework explodes at 4 seconds.
Now we find the height at 4 seconds which is the maximum height.
h = -16t^2 + 128t
h = -16(4^2) + 128(4)
h = -256 + 512
h = 256
The firework explodes at a height of 256 ft.
Answer:
329.87 cm²
Step-by-step explanation:
pi × (11² - 4²)
105pi cm²
329.8672286 cm²