Answer:
10.06 ft
Step-by-step explanation:
Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.
The equation for the height reached by Maria on the trampoline is given as:
To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).
Her velocity can be found by differentiating her height i.e. dh/dt:
Therefore, when v = 0:
It takes her 0.5625 seconds to get to her maximum height.
Therefore, her height at that time (0.5625 seconds) is:
Therefore, her maximum height is 10.06 ft.
Just find the slope between the points
basically find (f(10)-f(7))/(10-7)
f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66
slope=(66-24)/(10-7)=42/3=14
average rate of change is 14
Answer: x^2 + y^2 -10y = 0
Step-by-step explanation:
Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.
r= 10sin(θ)
Remember that:
x= r × cos(θ)
y= r × sin(θ)
r^2= x^2 + y^2
Multiply both sides of the equation by r. This will give:
r × r = 10r × sin(θ)
r^2 = 10r × sin(θ)
x^2 + y^2= 10r × sin(θ)
Because y= r × sin(θ), we can make a substitution. This will be:
x^2 + y^2= 10y
x^2 + y^2 -10y = 0
The above equation is the Rectangular coordinate equivalent to the given equation.
Answer:
2 and 24
Step-by-step explanation:
because I like to say bawk
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (4, 1.2)
Point (10, 6)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:
- Subtract:
- Divide:
