Answer:
y = 3x + 5
Step-by-step explanation:
Okay, so first we do the equation for rise over run which is y2 - y1/ x2 - x1
so plug the numbers 11 - 17/ 4 - 2 getting the slope -3, now since we found the slope we need to find the intercept form, what you have to do now is plug in a coordinate from the x value and y value one of the pairs essentially so,
y = 3x + b, I chose your first pair
11 = 3 x 2 + b
equals to,
11 = 6 + b
now we want b, by itself.
5 = b
so the total intercept form answer is
y = 3x + 5
I will check over it,
11 = 3 x 2 + 5
11 = 11
I hope this helped!
The volume of the cylinder is given by:
V = pi * r ^ 2 * h
For h = 12cm:
V1 = pi * ((21) ^ 2) * (12)
V1 = 16625.30832 cm ^ 3
For h = 11.9cm:
V2 = pi * ((21) ^ 2) * (11.9)
V2 = 16486.76409 cm ^ 3
The change in volume is given by:
V1-V2 = 16625.30832-16486.76409
V1-V2 = 138.54423 cm ^ 3
Answer:
the change in the volume is:
V1-V2 = 138.54423 cm ^ 3
Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
X= -b over 2a = --6 over 2×1=3
y=3²-6(3)-7=-16
vertex is (3,-16)
axis of symmetry is 3
Exponent rule : a^-b = 1 / a^b
52^-5 =
1 / 52^5 =
1 / (52 * 52 * 52 * 52 * 52)
