Answer:
A segment whose length is 9 units.
Step-by-step explanation:
A segment whose length is 9 units.
All we have is a bisection that divides equally segment JK in two parts. And M is the Midpoint what reassures us that JM=MK, so plugging in:
3x+15=8x+25
3x-8x=25-15
-5x=10
5x=-10
x=-2
JM=3(-2)+15 =9
MK=8(-2)+25=9
Answer:
(2, 11/2)
Step-by-step explanation:
This is a vertical parabola; we know that because x is squared here, while y is not. The standard equation of a vertical parabola with vertex (h,k) is
4p(y-k) = (x-h)^2, where p is the distance between the vertex and the focus. Comparing
4p(y-k) = (x-h)^2 to
10(y-3) = (x-2)^2, we see that 4p = 10. Therefore, p = 10/4 = 5/2, which is the vertical distance between the focus and the vertex.
Since the coordinates of the vertex are easily read from the given equation
(x-2)^2=10(y-3): (h,k) = (2, 3)
all we need to do is to add p (5/2) to the y-coordinate (3);
The focus is at (2, 3 + 5/2), or (2, 11/2).
Answer:
Her answer is wrong because she the object cannot hit the ground at negative seconds. She could’ve have used other methods because she used the quadratic formula. The advantages is that it works for every situation. The disadvantages is that it takes longer. She should’ve used a different method.
Step-by-step explanation:
For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F
Given:
Temperature at the bottom of the mountain is 74°F
The top of the mountain is 5500 feet above you
Change (reduction) in temperature is 3.3 X 5500 / 1000
= 18.15°F
Temperature at the top of the mountain is 74°F – 18.15°F
= 55.85°F
Answer:
Geometric
Step-by-step explanation:
A geometric setting does not have a set number of trials, and the variable in question is the number of trials it takes to get the first success.
The upgrades are independent, and the probability of the customer upgrading is the same each time.