To raise a function up by k units, add k to the whole function
f(x) is 2 units lower than g(x)
so -2 was added
k=-2
For this problem, I'd use cross-multiplication.
9/12 = x/8.
When cross multiplying, multiply 12*x and 9*8. This leads to a new equation:
12x = 72.
Then you solve as an algebra problem.
*Divide 12 on both sides*
x = 6.
(2x^2 + 4x + 6) - (-3x - 5x^2 + 4)
The negative sign separating the expressions is just multiplying the rightmost expression by -1.
(2x^2 + 4x + 6) + (3x + 5x^2 - 4)
Now, let's add together terms that share the same variable.
2x^2 + 5x^2 = 7x^2
4x + 3x = 7x
6 + (-4) = 2
Let's combine each of these terms into one expression.
7x^2 + 7x + 2 is the final answer.
Complementary angles add up to 90 (there should be a right angle in the diagram)
x+20+x+10 needs to equal 90 where x=30
Left angle is measured 30+20=50 degrees
Angle on the right is measured 30+10=40 degrees
A tangent is a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.
the answer is LM
because it is a straight line, it touches the surface of the circle, but it does NOT cross the circle at one point.
