Answer:
4a^4·b^5
Step-by-step explanation:
The applicable rule of exponents is ...
(x^a)(x^b) = x^(a+b)
The commutative and associative properties of multiplication apply, so we can write the expression as ...
4·(a^3·a)·(b^2·b^3) = 4·a^(3+1)·b^(2+3) = 4·a^4·b^5
Answer:
67.5 degrees
Step-by-step explanation:
The first angle is 45 and the second angle is x and the third angle is x (the second and third are equal)
We know the 3 angles of a triangle add to 180 degrees
45+x+x = 180
Combine like terms
45+2x=180
Subtract 45 from each side
45-45 +2x = 180-45
2x= 135
Divide by 2
on each side
2x/2 =135/2
x = 67.5
The given
equation in this case is:
<span> y = -16 t^2 + 400</span>
We can see
that the slope of the equation is negative (-16) which means that the position
of Kay is on the positive y-axis , while the bottom of the river is in the
origin. This is supported by taking t = 0, the initial y becomes y = 400.
Therefore the position of Kay now is at (0, 400).
So to find
for the time when the camera hits the water, then y must be zero (t, 0) so we
have to find for t in this case.
When y = 0
0 = -16 t^2
+ 400
16 t^2 = 400
t^2 = 25
t = 5 s
<span>Therefore it
takes 5 seconds for the camera to hit the water and for Kay to see a splash.</span>
Infinite straight lines could be drawn from a single point in any direction.
