Answer:
133°
Step-by-step explanation:
As vertically opposite angles are equal,
< B E D = < F E G
Therefore,
< B E D = 47°
We know that co - interior angles which occur between 2 parallel lines, are added up to 180°.
Given that, < A B E = x
Therefore,
< B E D + < A B E = 180 °
47 + x = 180
x = 180 - 47
x = 133°
Let me know if you have any other questions. :)
Answer:
Step-by-step explanation:
When Riko left his house, Yuto was 5.25 miles along the path.
Average speed of Riko = 0.35 miles per minute
Average speed of Yuto = 0.25 miles per minute
First we will calculate the time in which Riko will catch Yuto on the track.
Relative velocity of Riko as compared to Yuto will be = velocity of Riko - velocity of Yuto
= 0.35 - 0.25
= 0.10 miles per minute
Now we this relative velocity tells that Riko is moving and Yuto is in static position.
By the formula,
Average speed = 
0.10 = 
t = 
t = 52.5 minutes
Now we know that Rico will catch Yuto in 52.5 minutes. Before this time he will be behind Yuto.
So duration of time in which Rico is behind Yuto will be 0 ≤ t ≤ 52.5
Here time can not be less than zero because time can not be with negative notation. It will always start from 0.
Answer:
C
Step-by-step explanation:
P is an independent variable, therefore making M a dependent variable.
B and D are not it.
When plugging in P in choice A, M has a different answer than in the list.
A is not it.
When pluggin in P in choice C, M has the same answers as in the list.
C is the answer
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
__
Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
Answer:
<em>y = -2x + 25/2</em>
Step-by-step explanation:
Slope intercept form is y = mx + b.
You must solve the equation for y.
4x + 2y = 25
Subtract 4x from both sides.
2y = -4x + 25
y = -2x + 25/2