Solve the system by elimination 3x-2y=3 15x-4y=-3
1 answer:
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Area of the rectangle: 112
Step-by-step explanation:
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The area of a triangle is given by
where
b is the length of the base
h is the height
For triangle ABE, we know that
A = 40 (area)
h = 8 (height)
So we can find the length of the base AE:
Now we observe that the base of the rectangle, AD, is the sum of AE and DE, therefore:
We also know the height of the rectangle AB is 8, and that the area of a rectangle is
where b is the base and h the height. Therefore, the area of this rectangle is
Learn more about area of figures:
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Answer:
Step-by-step explanation:
We are given that:
And we want to find F'(0).
First, find F(x):
From the chain rule:
Then:
In conclusion, F'(0) = 15.
An equation without exponents and two variables, is typically a straight line. All the points on the line with integer coordinates are solutions of the equation. Since x and y have to be positive as well, there aren't that many solutions.
Let's see where the line crosses the x-axis, it is where y=0:
x/0.5 + 0 = 18, so x=9 at the intercept. y=0 there, so this is a point on the line, but not a solution to the question (y was supposed to be positive).
Possible values for x are thus limited to 1,2,3,4,5,6 and 7. You can try them all (ie., solve the equation with them) and see for which x values the y is also positive and integer.
You will find that x=4, y=2 is the only pair that satisfies these conditions.
Let's see where the line crosses the x-axis, it is where y=0:
x/0.5 + 0 = 18, so x=9 at the intercept. y=0 there, so this is a point on the line, but not a solution to the question (y was supposed to be positive).
Possible values for x are thus limited to 1,2,3,4,5,6 and 7. You can try them all (ie., solve the equation with them) and see for which x values the y is also positive and integer.
You will find that x=4, y=2 is the only pair that satisfies these conditions.