Answer:
x = 16.6
Step-by-step explanation:
Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:

which rounded to one decimal is
x = 16.6
Easy
the radius is the distance from the center to a point on the circle
we are given
center=(7,1)
a point=(8,7)
find the distance
distance formula
D=

so the distance between point and center is radius
D=

D=

D=

D=√37 units
radius is √37 units
Answer:
it is not linear
Step-by-step explanation:
Answer:
x - 2
Step-by-step explanation:
2x - 1 + 4x - 11
First, you want to combine like terms.
We can see that the one and eleven can go together, so add them together.
2x + 4x - 12
The reason that we made one, and eleven, negative twelve, is because they are both being subtracted from the numbers before that.
6x - 12
We added the 2x, and the 4x together to make 6x.
Another way to write this would be x - 2, because you can simplify it by dividing it by 6.
The parent function is ...
... f(x) = |x|
This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.
The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.