Soccer ball reaches its highest position when its equation turns from positive slope to zero and then negative. Mathematically it is where the derivative of the its function equals to zero. so:
d(-3x^2 + 6x + 3) / dx = -6x + 6
-6x + 6 = 0 -> x = 1 ->
it seems Paige's ball reaches higher than Viaola's with only 6 meters height.
Answer:
Step-by-step explanation:
<h3>Solution 1</h3>
The figure (kite) is symmetric and covers half of the area of rectangle with sides 8 units aby 10 units
<u>The area of the rectangle:</u>
<u>The area of the kite:</u>
- A = 1/2*80 = 40 sq. units
<h3>Solution 2</h3>
Split the kite into two triangles and calculate their area and add up
<u>Triangle DCB has b = 8, h = 2 and has area:</u>
- A = 1/2*8*2 = 8 sq. units
<u>Triangle DAB has b = 8, h = 8 and has area:</u>
- A = 1/2*8*8 = 32 sq. units
<u>Total area:</u>
Since JN = NK, this means that JK has been split into two equal pieces
This points to the fact that the smaller triangle is half of the larger triangle in terms of side lengths
MN = 14 which means LK is twice as long, so LK = 2*MN = 2*14 = 28
In summary,
LK = 28
Answer:
300
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x +15 +2x +5 = 180
4x = 180 - 20
x = 160/4
x = 40
TVZ + 2x +5 =180
TVX +2(40) = 180 -5
TVX = 175 - 80
TVX = 95
