Answer:
The measure of angle 3 is 42
Answer:
Step-by-step explanation:
In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.
Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:
The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:
This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as
The radius is the square root of the constant. So the radius is 6.
D is the graph you want.
9514 1404 393
Answer:
17 ft, 27 ft, 20 ft
Step-by-step explanation:
Let s represent the length of the shortest side. The the longest side is (2s-7) and the third side is (s+3). The perimeter is the sum of the side lengths:
64 = s +(2s -7) +(s +3)
64 = 4s -4 . . . . . . . . . . . collect terms
16 = s -1 . . . . . . . . . . divide by 4
17 = s . . . . . . . . . add 1
2s -7 = 2·17 -7 = 27 . . . . . the length of the longest side
s +3 = 17 +3 = 20 . . . . . . . the length of the third side
The side lengths are 17 feet, 27 feet, and 20 feet.
The output is the y value. So look at the plotted points and then take out the x values. Put the y values in order. The answer is the fourth answer choice.
Answer:
A
Step-by-step explanation:
side opposite to smallest angle is smallest=1
Hypotenuse=2
sin 30=1/2
