Answer:
C. 5
Step-by-step explanation:
Triangle BED is enlarged by scale factor 4.
(25-x)/4 = x
Multiply both sides by 4.
25-x = 4x
Add x on both sides.
25 = 5x
Divide both sides by 5.
5 = x
Answer:
Any negative and positive number can be your coordinates.
Step-by-step explanation:
As long as you don't have any restrictions as to what the coordinates can be, you're good to go!
Hope this helps!
Answer :
2x^2 + 16x + 34 = 0? X= -4 -1i X= 4+1i
Step-by-step explanation:
-
The initial kick is the first force applied to the ball. It sends the ball up into the air (at some angle). If gravity wasn't present, then the ball would go upward forever in a straight line. However, gravity is the second force pulling down on the ball. This explains why the ball hits some peak point or highest point before it is pulled to the ground. Overall, the path the ball takes is a parabolic arch.
In short, the two forces are the initial kick and gravity.
side note: technically air resistance (aka air friction or drag) is a force being applied since the air pushes against the ball to slow it down, but often air resistance is really complicated and beyond the scope of many math courses. So your teacher may want you to ignore air resistance.
Another note: the initial kick is a one time force that only happens at the beginning. Once the ball is in the air, that force isn't applied anymore. In contrast, the force of gravity is always present and always pulling down. It's probably incredibly obvious, but it's worth pointing out this difference.
Answer:
Required Probability = 0.97062
Step-by-step explanation:
We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.
Let X = weight of the newborn baby, so X ~ N(
)
The standard normal z distribution is given by;
Z = 
~ N(0,1)
Now, probability that the weight will be less than 5026 grams = P(X < 5026)
P(X < 5026) = P( < 
) = P(Z < 1.89) = 0.97062
Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .
