Dividing fractions
1 answer:
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9514 1404 393
Answer:
(x, y) = (5, 3)
Step-by-step explanation:
We can use the second equation to substitute for y in the first.
x = 17 -4(x -2)
5x = 25 . . . . . . . . eliminate parentheses, add 4x
x = 5
y = 5 -2 = 3
The solution is (x, y) = (5, 3).
Answer:
Step-by-step explanation:
There are 2 very distinct and important things that we need to know before completing the problem. First is that we are given that the cos of an angle is 1/3 (adjacent/hypotenuse) and it is in the first quadrant. We also need to know that the identity for sin2θ = 2sinθcosθ.
We already know cos θ = 1/3, so we need now find the sin θ. The sin ratio is the side opposite the angle over the hypotenuse, and the side we are missing is the side opposite the angle (we do not need to know the angle; it's irrelevant). Set up a right triangle in the first quadrant and label the base with a 1 (because the base is the side adjacent to the angle), and the hypotenuse with a 3. Find the third side using Pythagorean's Theorem:
which simplifies to
and
so
so that's the missing side. Now we can easily determine that
Now we have everything we need to fill in the identity for sin2θ:
and multiply all of that together to get
Each square in the diagram is equal to the value of 1 while c isn't equal to the squares. Simply . Since there are 6 squares that means 1*6 = 6. The whole value of the squares is 6. While the rectangle value isn't known or defined as "c" and you have 3 rectangles the value of it would be 3*c which is 3c.
So the answer is <u>C. 6+3c</u>