Answer:
5/4
Step-by-step explanation:
We have two points so we can use the formula for slope
(-3,-2) (1,3)
m = (y2-y1)/(x2-x1)
= (3--2)/(1--3)
= (3+2)/(1+3)
=5/4
The slope is 5/4
The volume of a cone is always 3 times smaller than that of its corresponding cylinder (that is, a cylinder with the same height and base radius).
As in:
Volume of a cylinder= πr²h
and Volume of a cone=⅓πr²h
But just in case you were referring to an actual difference, then that would be ⅔πr²h, since 1—⅓ = ⅔.
The parallel lines have the same slope.
The slope-intercept form:
m - slope
b - y-intercept
We have
Therefore searched line equation is:
The line passes through point (12, 7). Put the coordinates of the point into the equation of the line:
Answer: 
Answer:
The area is 42 area units.
Step-by-step explanation:
The area of a function f(x) on an interval [a,b] is given by:
Applying to this question:
Then
The area is 42 area units.
Answer:
Option B. m⁷/n² is the correct answer.
Step-by-step explanation:
Identity,
xᵃ * xᵇ = xᵃ⁺ᵇ
xᵃ/xᵇ = xᵃ⁻ᵇ
x⁻ᵃ = 1/xᵃ
It is given that,
m⁻⁶ n⁻³/m⁻¹³ n⁻¹
Using these three identities we can write,
m⁻⁶ n⁻³/m⁻¹³ n⁻¹ = m⁻⁶ m¹³/n⁻¹n³ (since x⁻ᵃ = 1/xᵃ)
m⁻⁶ m¹³/n⁻¹n³ =m⁽⁻⁶⁺¹³⁾/n⁽⁻¹⁺³⁾ = m⁷/n² (since xᵃ * xᵇ = xᵃ⁺ᵇ and xᵃ/xᵇ = xᵃ⁻ᵇ)
Therefore Option B. m⁷/n² is the correct answer
