Answer:
The remainder is 55
Step-by-step explanation:
Let
According to the remainder theorem, if p(x) is divided by x+a, the remainder is p (-a).
The given divisor is x+2, therefore the remainder is given by:
We substitute x=-2 to get:
We simplify to obtain:
We multiply to get:
Therefore the remainder is 55
Answer:
1) Factor form :
2) 8 second after launch.
Step-by-step explanation:
The height of the ball (in meters above the ground) t seconds after launch is modeled by
To find the time when ball hit the ground, we need to find the factor form of the given function.
When ball hi the ground, then height of the ball from the ground is 0.
Using zero product property, we get
Ball hit the ground at t=0 and t=8. It means ball hit the ground in starting and 8 second after launch.
The diagram provided is an isosceles triangle. An isosceles triangle has two sides having equal measure and two base angles also having equal measure.
From the marks on the triangle given, line ZX and line ZY are equal in length. This also means angle X and angle Y are equal in measure.
Therefore, we would have;
This means angle X and angle Y both equal 27 degrees each.
Note that the sum of angles in a triangle is 180. Therefore, in triangle ZXY,