Answer: 54 ft²
Step-by-step explanation:
Area of a kite is calculated by the formula:
= (Length * Height) / 2
Length = 6 + 6 = 12 ft
Height = 9 ft
Area = (12 * 9) / 2
= 108 / 2
= 54 ft²
To solve this exercise you must follow the proccedure below:
a) Find the maximum height of the tennis ball:
You have that the path of the ball can be represented by h=-16t²<span>+18t+5. Then:
t=-b/2a
t=-18/2(-16)
t=0.562
</span>
h=-16t²+18t+5
h=-16(0.562)²+18(0.562)+5
h=10.06
b) How long will it take to reach the ground?
h=-16t²+18t+5
h=0
-16t²+18t+5=0
You must apply the quadratic equation:
t=(-b±√(b^2-4ac))/2a
a=-16
b=18
c=5
When you substitute the values, you obtain:
t=1.35
In general the line with slope <em>m</em> through <em>(a,b) </em>is
That's point-slope form. When a or b is negative the sign turns to plus.
Answer: 
Answer:
(-10, -8)
Step-by-step explanation:
4u
Each component of vector u is multiplied by 4. So
u = (3, 1)
4u = (4*3, 4*1) = (12,4).
v – 4u
Subtraction of the components of vector v by the components of the vector 4u. So
v - 4u = (2, -4) - (12, 4) = (2-12, -4 - 4) = (-10, -8)
The value is (-10, -8)
