The percent of increase is 20%
Answer and the work is provided in the image attached.
-Thank you-
Answer:
Surface area of the cylinder = 954.56 inches
Step-by-step explanation:
Given that
π = 3.14
height of the cylinder = 11in
radius of the cylinder = 8in
surface area of the cylinder = ?
recall that,
surface area of the cylinder = 2πrh + 2πr²
surface area of the cylinder = 2 x 3.14 x 11 x 8 + 2 x 3.14 x 8²
surface area of the cylinder = 552.64 + 6.28 x 64
surface area of the cylinder = 552.64 + 401.92
Answer: It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.
Step-by-step explanation:
Let us consider the general linear equation
Y = MX + C
On a coordinate plane, a line goes through points (0, negative 1) and (2, 0).
Slope = ( 0 - -1)/( 2- 0) = 1/2
When x = 0, Y = -1
Substitutes both into general linear equation
-1 = 1/2(0) + C
C = -1
The equations for the coordinate is therefore
Y = 1/2X - 1
Let's check the equations one after the other
y = negative one-half x minus 1
Y = -1/2X - 1
y = negative one-half x + 1
Y = -1/2X + 1
y = one-half x minus 1
Y = 1/2X - 1
y = one-half x + 1
Y = 1/2X + 1
It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.
Jeremy's claim that if a linear function has the same steepness (slope) and the same y-intercept, it must be the same function is not correct. A counterexample is y = negative one-half x + 1, which has the same steepness and y-intercept but is a different function.
The line going through points (0, negative 1) and (2, 0) can be expressed in slope-intercept form (y = mx + b) where the slope m can be calculated as (y2-y1)/(x2-x1) and the y-intercept b is the y-value when x=0. For this line, we have m = (0 - (-1))/(2-0) = 1/2 and b = -1. Hence, the equation for this line is y = one-half x - 1.
However, we can prove Jeremy's claim wrong with a counterexample. Even if a function has the same slope and y-intercept, it doesn't necessarily mean they represent the same function. A counterexample is y = negative one-half x + 1. This line has the same steepness (slope -1/2) but a different direction (its slope is negative, unlike the other line), and the same y-intercept (y=1 when x=0) but it's not the same function.
#SPJ3
0.3 times 0.2 = 0.06
performed to derive the slope-intercept form of a linear equation.
Answer:
1. You first have to find the slope
2. Next, you have to find the y-intercept
3. Finally, you have to put it in y = mx + b form.
Step-by-step explanation:
The slope of 2 points is;
The y-intercept is;
y = mx + b
m is always the slope
b is always the starting point or y-intercept
Answer:y=mx+b
Step-by-step explanation:
To summarize how to write a linear equation using the slope-interception form you
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
Once you've got both m and b you can just put them in the equation at their respective position.