Answer:

Step-by-step explanation:
Use Pythagorean theorem, where:

Substitute in the values.






The equation of the circle that you are looking for is x^2 + y^2 = 100.
You can find this by using the base formula for a circle:
(x - x1)^2 + (y - y1)^2 = r^2
In which x1 is the x-coordinate of the origin, y1 is the y-coordinate of the origin, and r is the radius. So we put in the values we know and simplify.
(x -0)^2 + (y - 0)^2 = 10^2
x^2 + y^2 = 100
Answer:
3.5 hours of studying to get a 75 on the exam.
Step-by-step explanation:
The y intercept in the graph is 40. This means that the constant in the linear equation is 40.
The slope of the equation is 10 because after the variable x travels one interval, the y travels 10.
To get the hours a student need to get 75 on the exam, we set the equation equal to 75.
75 = 10x + 40 where x = hours studied.
75 - 40 = 10x
x = 35/10
x = 3.5 hours
(x^3)(-6)
Hope I helped :)
Answer:
252 ft
Step-by-step explanation:
h(t) = -16t^2 +64t + 192
We want to find h when t= 2.5
h(2.5) = -16 (2.5)^2 +64(2.5) +192
=-16(6.25) +160+192
=-100+160+192
=252