(I'm learning this right now!)
y = 3x - 3
If a line is perpendicular to another line, they have negative reciprocal slopes.
So you would use the slope -1/3.
Use y - y₁ = m(x - x₁) to get an equation in slope intercept form.
Plug the numbers in.
y - 1 = -1/3(x - 3)
y - 1 = -1/3x + 1
y = -1/3x + 2
An equation of a line perpendicular to line CD is y = -1/3x + 2.
Using proportions, the expected number of adults in Palm City whose main source of news is the internet or newspaper is of 19,413.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
From the table, the proportion of adults in Palm City whose main source of news is the internet or newspaper is found as follows:
p = (62 + 88)/(62 + 88 + 128 +24 + 38) = 0.4412.
Hence, out of 44,000 adults, the expected number is found as follows:
0.4412 x 44000 = 19,413.
More can be learned about proportions at brainly.com/question/24372153
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No solution
4(x-2+y) = 4(x-2+y)
4 × x = 4x
4 × -2 = -8
4 × Y = 4y
(for both problems)
4x-8+4y = 4x-8+y
-4x -4x
——————————
-8+4y = -8+4y
-8 -8
——————————-
4y = 4y
-4y -4y
————-
0=0
Simplifying
4x + 16 + -1x = 22 + 6
Reorder the terms:
16 + 4x + -1x = 22 + 6
Combine like terms: 4x + -1x = 3x
16 + 3x = 22 + 6
Combine like terms: 22 + 6 = 28
16 + 3x = 28
Solving
16 + 3x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 3x = 28 + -16
Combine like terms: 16 + -16 = 0
0 + 3x = 28 + -16
3x = 28 + -16
Combine like terms: 28 + -16 = 12
3x = 12
Divide each side by '3'.
x = 4
Simplifying
x = 4
