The variables Y and X have a proportional relationship, and y=12 when x=5. What is value of y when x =8? Enter your answer in th
e box.
y=_____
y=_____
2 answers:
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The slope-intercept form:
m - slope
b - y-intercept
The formula of a slope:
We have two points (2, 0) and (-2, -4). Substitute:
Therefore we have the equation of a line
Put the coordinates of the point (2, 0) to the equation:
<em>subtract 2 from both sides</em>
Answer:
Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:
Area 2:
Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34