Hello,
x²-5x-2=0
Δ=5²+4*2=33
==>x= (5-√33)/2 or x=(5+√33)/2
Answer: The correct option is (A) (2, -2).
Step-by-step explanation: Given that rectangle with vertices at K, L, M and N is graphed on the coordinate plane as shown in the figure.The figure is rotated 360° counterclockwise using the origin as the center of rotation.
We are to find the location of the image of point K after the rotation.
We know that
a rotation of 360° in counterclockwise direction about the origin map a point to itself. That is, the co-ordinates of the image point will be same as the original one.
From the figure, we see that the co-ordinates of point K are (2, -2).
Therefore, after rotation of 360° counterclockwise using the origin as the center of rotation,
the co-ordinates of the image of point K will also be (2, -2).
Thus, the location of the image of point K is (2, -2).
Option (A) is CORRECT.
The answer is 2,181 because 64x34=2176+8=2184-3=2181
Answer:
Pr(X >42) = Pr( Z > -2.344)
= Pr( Z< 2.344) = 0.9905
Step-by-step explanation:
The scenario presented can be modeled by a binomial model;
The probability of success is, p = 0.65
There are n = 80 independent trials
Let X denote the number of drivers that wear a seat belt, then we are to find the probability that X is greater than 42;
Pr(X > 42)
In this case we can use the normal approximation to the binomial model;
mu = n*p = 80(0.65) = 52
sigma^2 = n*p*(1-p) = 18.2
Pr(X >42) = Pr( Z > -2.344)
= Pr( Z< 2.344) = 0.9905
<h2>The height of the rocket increases for some time and then decreases for some time.</h2>
The height from the ground increases from 4 to 26, then decreases from 26 to 0.
Why the others are wrong.
A. The height of the rocket changes at a constant rate for the entire time.
The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.
C. The height of the rocket remains constant for some time.
The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.
D. The height of the rocket decreases for some time and then increases for some time.
This implies the graph decreases first then increases. However, the rocket will increase, then decrease.
