Solution:
As given , g(x)= f(x) + k --------(1)
As also given : f(x) = (x+2)
g(x) = (x+5)
Putting the value of f(x) and g(x) in equation (1).
→ (x+5) =
(x+2) + k
→ = k
→ k =
So , the value of k is 1.
Find the amount of elapsed time between each pair.
2 answers:
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Let the number of sports drinks April bought be represented by = s
Let the pizza slices April bought be represented by = p
As she spent a total of $21.25 so equation becomes:
As she bought 3 more sports drinks than pizza slices so, s = p+3
Answer: OPTION A
Step-by-step explanation:
It is important to remember the "Angle Addition Postulate" in order to solve this exercise.
You have this larger angle:
According to the "Angle Addition Postulate", if the point "C" is in the interior of , then the measure of this angle can be obtained by adding the angle
and the angle
.
You can observe in the figure that:
Then you get that:
Therefore, the correct answer is Option A.
I found a similar problem to your problem here, which is shown in the attached picture. So, from the picture, we have to find the equation for the red line. All we have to do is find two points of the line. That would be: Point 1(2,0) and Point 2(-2,3). The general equation would be:
y - y₁ = (y₂-y₁)/(x₂ - x₁) * (x - x₁)
Substituting the coordinates to the equation,
y - 0 = (3-0)/(-2 - 2) * (x - 2)
y = -3(x -2)/4
Rearranging,
<em>4y = -3x + 6 or 4y + 3x = 6</em>
y - y₁ = (y₂-y₁)/(x₂ - x₁) * (x - x₁)
Substituting the coordinates to the equation,
y - 0 = (3-0)/(-2 - 2) * (x - 2)
y = -3(x -2)/4
Rearranging,
<em>4y = -3x + 6 or 4y + 3x = 6</em>