The line parallel to y= 4x+ 5 passing through point (-2, 1) is y = 4x + 9
<h3>Parallel Equations</h3>
The given equation is:
y = 4x + 5
Compare y = 4x + 5 with the equation y = mx + c
m = 4, c = 5
The equation parallel to y = 4x + 5 will also have a slope, m = 4
The point-slope form of the equation of a line is given as:
y - y₁ = m(x - x₁)
substitute m = 4, x₁ = -2 and y = 1 into the equation above
y - 1 = 4(x - (-2)
y - 1 = 4(x + 2)
y - 1 = 4x + 8
y = 4x + 8 + 1
y = 4x + 9
Therefore the line parallel to y= 4x+ 5 passing through point (-2, 1) is y = 4x + 9
Learn more on equation of a line here: brainly.com/question/13763238
formula for volume of a sphere is V=4/3 x pi x R63
if diameter = 16 than radius = 16/2 = 8
so the equation would be 4/3 x pi x 8^3
Answer:
An we can use the normal standard table and the following difference and we got this result:
Step-by-step explanation:
Assuming this statement to complete the problem "with a standard deviation 5 mpg"
We have the following info given:
represent the mean
represent the deviation
We have a sample size of n = 54 and we want to find this probability:
And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:
And we can use the z score formula given by:
And replacing we got:
An we can use the normal standard table and the following difference and we got this result:
Answer:
tht looks so difficult
Step-by-step explanation:
Answer:
V = 500 pi in^3
or approximately 1570 in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
The diameter is 10. so the radius is d/2 = 10/2 =5
V = pi (5)^2 * 20
V = pi *25*20
V = 500 pi in^3
We can approximate pi by 3.14
V = 3.14 * 500
V = 1570 in ^3
