Answer:(-6,-10)
Step-by-step explanation:
Let’s say that A is (-5,-6) and B is (-3,2). The slope of AB is (-6-2)/(-5+3)=(-8)/(-2)=4
The equation of AB is:
y-2=4(x+3)
y=4x+14
The lines intersect in:
4x+14=x-4
3x=-18
x=-6
(-6,-10)
Volume of a cylinder = π r² h
Given:
radius = (x+8)
height (2x + 3)
Volume of a cylinder = π * (x+8)² * (2x + 3)
V = π * (x+8)(x+8) * (2x+3)
V = π * (x² + 8x + 8x + 64) * (2x + 3)
V = π * (x² + 16x + 64) * (2x + 3)
V = π * (2x³ + 32x² + 128x + 3x² + 48x + 192)
V = π * (2x³ + 32x² + 3x² + 128x + 48x + 192)
V = π * (2x³ + 35x² + 176x + 192)
Answer:
Lorenzo's score on exam was 75.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 61
Standard Deviation, σ = 8
We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.
Formula:
z-score = 1.75
We have to find the value of x.
Putting values, we get
Thus, Lorenzo's score on exam was 75.
If a graph of a system of two equations shows two lines that coincide on a coordinate plan there would be C.)Infinitely many solutions
I hope this helps, have a great day.