Answer:
x = 12
Step-by-step explanation:
In a right triangle (a triangle that has a ninety degree angle in it) the the square of the side opposite the right angle is always equal to the sum of the squares of the other two sides. Therefore, we can use the information we are given to figure out the missing side:
![15^2=225\\9^2=81\\225-81=144\\\sqrt[2]{144}=12](https://tex.z-dn.net/?f=15%5E2%3D225%5C%5C9%5E2%3D81%5C%5C225-81%3D144%5C%5C%5Csqrt%5B2%5D%7B144%7D%3D12)
Answer:
Step-by-step explanation:
22.5 degrees is half of 45 degrees (special angle for which we know exactly the value of all three basic trigonometric functions (sine, cosine, and tangent).
So we start recalling the formula for tangent of a half angle: 
We need just the values of:
and of
to answer the question. Then, we use those values in the original formula for tangent of a half angle:
Answer:
f(x) + k
Explanation:
Vertical shift is represented by adding/subtracting a constant from the original given equation.
If the constant added is +ve, this means that the curve is vertically shifted upwards
If the constant added is -ve, this means that the curve is vertically shifted downwards.
Now, for the given, we have the original function f(x) and the constant k, therefore, to shift the graph vertically, the new function would be f(x)+k
We have:
f(x) = x² and k = -3
This means that the new function would be:
x² - 3
Since the constant is -ve, we can conclude that the curve is shifted vertically downwards by 3 units
Hope this helps :)
Answer:
teds sister is 60 years old, ted is 120 some how, and joe is 123.
Step-by-step explanation:
half of a century is 50 because a century is 100 years and plus 10 years equals 60 and 60 times 60 equals 120 and 120 plus 3 years equals 123 so that's how I got the answers. At first this answer looks complicated you just have to read the question carefully.
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