Answer:
y = 6x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (1, - 7)
m = 
= 
= 6, thus
y = 6x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 7), then
- 7 = 6 + c ⇒ c = - 7 - 6 = - 13
y = 6x - 13 ← equation of line
Cylinder: First you need to find the radius. To do that, you need to divide the diameter by 2
Then, you multiply it by itself
After that, you multiply it by the height
And finally multiply it by pi
Cone: First, you need to find the radius dividing the diameter by 2
Then, multiply it by itself
After that, divide the height by 3
Finally, multiply the radius times the height and then multiply it by pi
The answer to the cylinder is 251.2 and the answer to the cone is 251.2
The processes are the following:
Cylinder
D:8
R:4
V:π4^2*5
V:π16*5
V:80π
V:251.2
Cone
D:8
R:4
V:π4^2 15/3
V:π16*5
V:80π
V:251.2
Answer:
118.0
Step-by-step explanation:
using Trigonometry,
D. 44
4.5•2=9
9•3.14=28.26
28.28 rounds down to 28cm
11.5•2=23
23•3.14=72.22
72.22 rounds down to 72cm
72-28=44
Answer:
Carrie won
Step-by-step explanation:
Carrie's mean 12,400 and standard deviation 1,500.
Vicki's mean 14,200 and standard deviation 2,000.
Z score is the distant a value is from the mean in terms of standard deviations.
x is the value
μ is the mean
σ is the standard deviation
Carrie's z-score:
Vicki's z-score:
Comparing z-score Carrie won the contest
