15 is 6 because 12 divided by 2 is 6
19 is 12 because 12-3 is 9
Answer:
Step-by-step explanation:
Applying double angle identity:
Doing so would give:
We need to get everything to one side so we have 0 on one side.
Subtract 1 on both sides:
Add on both sides:
Let's factor the left-hand side.
The two terms on the left-hand side have a common factor of .
.
This implies we have:
.
We need to solve both equations.
You are asking they be solved in the interval .
This means look at your unit circle and find when you have your y-coordinates is 0.
You this at 0 and . (I didn't include because you don't have a equal sign at the endpoint of .
Now let's solve
Subtract 1 on both sides:
Divide both sides by 2:
Now we are going to go and look for when the y-coordinates are -1/2.
This happens at and .
The solution set given the restrictions is
9514 1404 393
Answer:
(1.43, 1.87)
Step-by-step explanation:
The formula for the incenter requires we know the lengths of the sides of the triangle. These are found using the distance formula.
BC = √((4-3)^2 +(5+1)^2) = √37
AC = √((-4-3)^2 +(2+1)^2) = √58
AB = √((-4-4)^2 +(2-5)^2) = √73
Then the incenter is ...
(A(BC) +B(AC) +C(AB))/(BC +AC +AB)
≈ (6.08276(-4, 2) +7.61577(4, 5) +8.54400(3, -1))/22.2425
≈ (1.42808, 1.87480)
Rounded to hundredths, the incenter is (1.43, 1.87).
Answer: 4th Graph
Step-by-step explanation: (x-3, y+2) is the idea
Answer:
y=0x+5
Step-by-step explanation:
The first step to making an equation of a line is finding the slope. To do this, we can use the point slope formula:
In this case,
=5
=5
=0
=2
so, we have the equation , which gives us 0. The slope of this equation is 0.
Now we have the equation y=0x+b. Let's find b! We can do this by plugging in one of the points into our new equation, let's use (2,5)
5=y, 2=x
5=0(2)+b
b=5
now, we plug b=5 into our equation, and we finally get y=0x+5!