6x+2y factor out 2
2(3x+y)
...
We were told that 3x+y=6 so
2(3x+y)=2(6)
6x+2y=12
Answer:
117 yards
Step-by-step explanation:
From the diagram here, we can see that we are to calculate the diagonal of the rectangular football field
we can calculate this by the use of Pythagoras’ theorem which posits that the square of the hypotenuse = the sum of the squares of the two other sides
From the diagram, the diagonal is the hypotenuse while the other two sides complete the right triangle
let’s say the diagonal is length d
Mathematically;
d^2 = 100^2 + 60^2
d^2 = 10,000 + 3,600
d^2 = 13,600
d = √13,600
d = 116.62 yards which is approximately 117 yards
Answer:
For a solution to occur y=y so we can say. 3x=2x+2 subtract 2x from each side. x=2, since y=3x. y=3(2).=
Step-by-step explanation:
2x + x = 180
This is because 2x is on one side while x is on the other, if those two angles add up they must add up to 180 because the two angles form a 180 degree angle or just a straight line
2x + x = 180
3x = 180
x = 60
If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3. The correct option is D.
<h3>What is the equation of the circle with radius r units, centered at (x,y)?</h3>
If a circle O has a radius of r units length and it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
![(x-h)^2 + (y-k)^2 = r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%20%2B%20%28y-k%29%5E2%20%3D%20r%5E2)
The equation of unit circle is
![(x-h)^2 + (y-k)^2 = 1\\\\x^2 + \dfrac{\sqrt{3} }{3}^2 = 1\\\\x^2 + \dfrac{1 }{3} = 1\\\\\\x^2 = 1 - \dfrac{1 }{3} \\\\x^2 = 2/3\\](https://tex.z-dn.net/?f=%28x-h%29%5E2%20%2B%20%28y-k%29%5E2%20%3D%201%5C%5C%5C%5Cx%5E2%20%2B%20%5Cdfrac%7B%5Csqrt%7B3%7D%20%7D%7B3%7D%5E2%20%3D%201%5C%5C%5C%5Cx%5E2%20%2B%20%5Cdfrac%7B1%20%7D%7B3%7D%20%3D%201%5C%5C%5C%5C%5C%5Cx%5E2%20%3D%201%20-%20%5Cdfrac%7B1%20%7D%7B3%7D%20%5C%5C%5C%5Cx%5E2%20%3D%202%2F3%5C%5C)
Thus, x = √2/ 3
If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3.
The correct option is D.
Learn more about the equation of a circle here:
brainly.com/question/10165274
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