Answer:
g(x) = (1/4x)^2
Step-by-step explanation:
Given f(x), we want to get g(x)
As we can see, the point (4,1) lies on the graph of g(x)
So the correct option will be the one where g(4) = 1
Let us take a look at the second option
g(x) = (1/4x)^2
Here,
g(4) = (1/4 * 4)^1 = 1^1 = 1
<u>Answer:</u>
The Time taken by Elena and Jade to meet up is 2.5 hours
<u>Explanation:</u>
Given,
Elena moves with a speed of 6mph while Jada walks at a speed of 4 mph
Also, Distance can be calculated by the formula
To find out the Total speed, i.e., speed of both Elena and Jada as both of them are walking in opposite direction we should add the speed of both the persons, if in same direction we should subtract the values
Here it will be: 
= 10mph
Distance apart is given as 25 miles. Substituting the values,
25 = 
Time = 25/10
Time = 2.5 hour
Hence, It will take 2.5 hours to meet up.
Answer: 8/11
Step-by-step explanation:
To find slope you can use this formula:
y2-y1/x2-x1
substitute the values with the ones from the 2 points
-13-(-5)= -8
-19-(-8)=-11
you then divide -8/-11
and you get 8/11
8/11 is the slope of those 2 points.
<span>Here you go:
1) Applying (a + b)² = a² + b² + 2ab,
(cosx + cosy)² = cos²x + cos²y + 2cos(x)*cos(y) and
(sinx + siny)² = sin²x + sin²y + 2sin(x)*sin(y)
2) ==> (cosx + cosy)² + (sinx + siny)² =
= (cos²x + sin²x) + (cos²y + sin²y) + 2{cos(x)cos(y) + sin(x)sin(y)}
= 2 + 2{cos(x - y)} = 2[1 + cos(x - y)]
= 2*2cos²{(x - y)/2} [Multiple angle identity, 1 + cos(2A) = 2cos²A]
= 4*cos²{(x - y)/2} [Proved]</span>
B, E, and F
A monomial has only one term
