Answer:
x=12
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + x^2 = 15^2
81 + x^2 = 225
Subtract 81 from each side
x^2 =225-81
x^2 =144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x=12
Answer: x=-5, y=9
You can use elimination to solve this system. By adding the two equations together, you get:
-x=5
Then solve for x by dividing both sides by -1:
x=-5
Now that you have x, substitute that into one of the equations to solve for y.
6(-5)+5y=15
-30+5y=15
5y=45
And now divide both sides by 5 to solve for y:
y=9
9514 1404 393
Answer:
- domain: all real numbers
- range: y ≥ 0
Step-by-step explanation:
The domain is the horizontal extent of the graph. For a graph like this, we assume the ends extend to infinity, both horizontally and vertically. Then the horizontal extent (domain) is from -infinity to +infinity: all real numbers.
The graph does not go below y=0, so the vertical extent (range) is y ≥ 0.
X1=0, y1=3
x2=pi/2, y2=5
rate of change = (y2-y1)/(x2-x1)
=(5-3)/(pi/2-0)
=4/pi
ans is D. four over pi
