Step-by-step explanation:
Hey there!
The equation of a st.line passing through points (6,-5) and (3,0) is;
[Using double point formula]
Now, Put all values,
Simplify it to get equation.
Therefore the required equation is 5x + 3y - 15 = 0.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
1 x 12
2 x 6
3x4
I think that's it. Maybe it's no solution?
Given:
Item time
shirt 26.1 seconds
sweater 24.3 seconds
pants 32.8 seconds
scarf 18.2 seconds
Add up all the time in seconds:
26.1 + 24.3 + 32.8 + 18.2 = 101.4
divide the sum by the 4 items:
101.4 / 4 = 25.35 seconds
The average time Janette took to fold and put away all 4 items is 25.35 seconds.
Answer:
t=2
Step-by-step explanation:
We are given the equation
h = -16t²+36t+1
Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).
Therefore, as 9 is the height, we can plug that into our equation to get
9 = -16t²+36t+1
To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get
-16t²+36t-8=0
To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation
-16t²+32t+4t-8=0
-16t(t-2) + 4(t-2) = 0
(-16t+4)(t-2) = 0
Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0
t-2 = 0
t=2
-16t+4 = 0
-16t = -4
t = 1/4
Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down
