<em>Answer:</em>
<em>2 whole 1/4</em>
<em>Step-by-step explanation:</em>
<em>When forming a perfect square trinomial you need to "complete the square".
</em>
<em>All of the steps to completing the square when solving an equation:
</em>
<em>1. The leading coefficient must be 1. </em>
<em>2. Divide b by 2.
</em>
<em>3. Square (b/2)
</em>
<em>4. Add (b/2)^2 to both sides to keep the polynomial balanced.
</em>
<em>5. You can now write the perfect square trinomial and solve.
</em>
<em><u>
</u></em>
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4
Answer:
SEE BELOW IN BOLD.
Step-by-step explanation:
a.
h = -16t^2 + 50t
h = 20 t
When the height is the same:
-16t^2 + 50t = 20t
-16t^2 + 30t = 0
t(-16t + 30) = 0
t = 0 or -16t + 30 = 0, so:
t = 0 or -30/-16 = 1.875
So the answer is 1.88 seconds to the nearest hundredth.
b.
For the ball
h = -16t^2 + 50t
Finding the derivative and equating to zero:
dh/dt = -32t + 50 = 0
t = -50/-32 = 1.563
Maximum height after 1.56 seconds to nearest hundredth
c.
When the ball hits the ground h = 0 so
-16t^2 + 50t = 0
-16t(t - 50/16)= 0
T = 3.13 SECONDS TO THE NEAREST HUNDERDTH
Answer:
Exponential Decay
Step-by-step explanation:
It's exponential growth when your base value is > 1. Example:
1.3ˣ, 2ˣ, 7ˣ, 999ˣ
It's exponential decay when the base value is < 1. Example:
0.9ˣ, 0.45ˣ, (1/2)ˣ, 0.79ˣ, .999ˣ
It's neither when the base value = 1. Example:
1ˣ
Since it is a parallelogram cente at point T,
then the measure of PT is equal to the measure of TR. And the measure of QT is
equal to the measure of TS.
PT = TR
a + 4 = 2a
4 = 2a -a
a = 4
PT = TR = 8 units
QT = TS
b = 2b -3
3 = 2b – b
b = 3
<span>QT = TS = 3 units</span>
