Answer:
x=3√5
Step-by-step explanation:
This is a right angle triangle
So the equation is
2²+x²=7²
x=√7²-2²
x=3√5
The break-even point for the graph is at 11 units.
Step-by-step explanation:
Break-even point refers to the point on the graph where either of the parameters of the graph intercepts each other. The corresponding location of the position where the intersection occurs gives the break-even point.
In the graph annual cost is plotted in green on the Y axis, while the sales are plotted on x-axis in red.
When we observe the graph carefully, we find that two-line intercepts. When the point at which interception occurs is extended on the x-axis, the point is 11 units, which gives us the break-even units.
Hence the point is 11 units.
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:
A rational number is part of a whole expressed as a fraction, decimal or a percentage. ... Alternatively, an irrational number is any number that is not rational. It is a number that cannot be written as a ratio of two integers (or cannot be expressed as a fraction).
hope this helps
Step-by-step explanation:
Y = x² + 2x - 8
which two numbers add up to 2 and multiply to -8?
-2 and 4
so rewrite the expression using the above;
(x - 2)(x + 4)
x = 2, -4
so the zeros are 2 and -4.
hope this helps, God bless!