Four ratios:
light to dark: 4:12
dark to light: 12:4
black to white: 2:4
white to gray: 4:10
gray to white: 10:4
any of those work.
For this case we have the following equation:
h = -16t2 + 64t + 80
To find the maximum height, we derive the equation:
h = -32t + 64
We match zero:
-32t + 64 = 0
We clear t:
t = 64/32
t = 2
We substitute the value of t in the given equation:
h (2) = -16 * (2) ^ 2 + 64 * (2) + 80
h (2) = 144
Answer:
The maximum height is 144 feet and the time to reach this height is 2 seconds.
Answer:
25. Not a solution
26. Yes a solution
27. y= 2/3 x
28. y=3x+16
Step-by-step explanation:
25. The solution to a linear equation is the point (x,y). To find if an (x,y) is a solution, substitute it into the equation and see if it works.
y=4x-4 and (8,3)
3=4(8)-4
3=32-4
3=28
False
Not a solution.
26. Repeat 25 to solve 26 with y=5x-5 and (0,-5)
y=5x-5 and (0,-5)
-5=5(0)-5
-5=0-5
-5=-5
True
Yes a solution.
27. This line crosses through the origin is proportional and therefore has the form y=mx. It also has a gentle slant meaning that is less than 1/2 and goes in a positive direction. This means it is y=2/3 x.
28. Use inverse operations to rearrange the equation.
y-3x=16
y=16+3x
y=3x+16
Here's the solution,
The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each
now,
Area of an equilateral triangle :
=》
where,
=》
=》
=》
or
=》
Your choices are correct.
1. adding -3 to the function shifts its graph downward by 3 units.
2. 7^(2x) = (7^2)^x = 49^x
3. f(0) = -6; g(0) = -3, f(0) = 2×g(0)