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zepelin [54]
3 years ago
13

5: What is the equation of the line parallel to x = 7, passing through the point (-4, 1)?

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

Answer:

<em>The correct option is:  A.  X= -4</em>

Step-by-step explanation:

The equation of the given line is:  x=7

As the given line is a <u>vertical line parallel to y-axis, that means the slope of the line is 'undefined'</u> or \frac{k}{0}, where k is any real number.

Now, the slope of the line which is parallel to the given line will be also \frac{k}{0}, as <u>the slopes of parallel lines are always equal</u>.

The parallel line is passing through the point (-4, 1). So, using point-slope form.......

y-y_{1}= m(x-x_{1})\\ \\ y-1=\frac{k}{0}(x-(-4))\\ \\k(x+4)=0\\ \\ x+4=0\\ \\ x=-4

Thus, the equation of the parallel line will be:  x=-4

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2= 7/9 x 6 + b solve for b
netineya [11]

Answer:

8/3

Step-by-step explanation:

7/9 x 6

14/3

14/3 - 2

8/3

5 0
3 years ago
Joe works as a busboy making $7 per hour and as a theater usher making $9 per hour. Let b be the number of hours he works as a b
Vilka [71]

Answer:

The inequality describing the situation is:

7b+9u>1500

Step-by-step explanation:

Joe works as a busboy at the rate of = $7 per hour

Let the number of hours he works as a bus boy this month be = b hours

∴ Amount Joe would make this month working as a busboy =\$7\times b=\$7b

Joe works as a theater usher at the rate of = $9 per hour

Let the number of hours he works as a theater usher this month be = u hours

∴ Amount Joe would make this month working as a theater usher =\$9\times u=\$9u

Total amount Joe would make this month =\$(7b+9u)

His goal is earn more than $1500 this month.

∴ The situation can be represented in the following inequality:

7b+9u>1500

6 0
3 years ago
Given that 12 , 3 is on the graph of f(x) find the corresponding point for the function
mariarad [96]
(12,24)
Hope it helps love.
-Joker7721
8 0
3 years ago
How do i solve this slope of a line from a graph?​
iren2701 [21]

Answer:

Find two good points and do rise over run. or you can do the x1 y1 thing

Step-by-step explanation:

3 0
3 years ago
Can anybody help me out with this?
kupik [55]
9 hours and 35 min.
11:50 - 2:15
5 0
3 years ago
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