Answer:
2
Step-by-step explanation:
when it returns to the ground , h = 0
32t -16t2 = 0 and solve for t
t = 0, 2 ....0 is the start, 2 is when it returns
Answer:
(5x² +7x -26) units²
Step-by-step explanation:

Area of shaded region
= Area of larger rectangle -area of smaller rectangle
Area of larger rectangle
= (3x -4)(2x +2)
= 3x(2x) +3x(2) -4(2x) -4(2) <em>(</em><em>Expand</em><em>)</em>
= 6x² +6x -8x -8
= 6x² -2x -8
Area of smaller rectangle
= (x -6)(x -3)
= x² -3x -6x +18 <em>(</em><em>Expand</em><em>)</em>
= x² -9x +18
Area of shaded region
= 6x² -2x -8 -(x² -9x +18)
= 6x² -2x -8 -x² +9x -18
= 5x² +7x -26
Answer:

Step-by-step explanation:
step 1
In the right triangle ABC
Applying the Pythagoras Theorem fin the hypotenuse AC

substitute



step 2
we know that
If two figures are similar, then the ratio of its corresponding sides is equal
so

substitute and solve for CE

step 3
Find the length of segment AE
AE=AC+CE
substitute the values

Answer:
This cannot be solved but it can be simplified
first we open the bracket
so we have
a²- abx/x = 2/3
next we cross multiply so it will be 3(a² - abx) = 2x
we get
3a² - 3abx = 2x
Next we factorise so we can get
3a(a-bx) =2x
I dont know what exactly you where asked but I hop this helps
Answer:
C.I = $251.2
Step-by-step explanation:
P = Principal amount = 1600
r = rate of annual interest = 6%
n = period / no. of years = 2.5 years
C.I = (P* (1+r^n))-P
C.I = (1600*(1+0.06)^2.5))-1600
C.I = (1600*(1.06^2.5))-1600
C.I = (1600*1.157)-1600
C.I = 1851.2-1600
C.I = 251.2