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dimulka [17.4K]
3 years ago
9

Please help me with problem 2 of Inequalities in Two Variables

Mathematics
1 answer:
trapecia [35]3 years ago
5 0

With inequalities,

< means less than

> means greater than.

Both are represented by a dotted line.

&le; means less than or equal

&ge; means greater than or equal,

Both are represented by a solid line.

To construct the inequality x<2 we would switch the < to an equal sign, and construct the equality, namely x=2, which is a vertical line passing through (2,0).

From the previous comments, we know that x<2 is a dotted line.

Now we have to decide the inequality applies to which side of the line.

One way is to take some test points, e.g. the origin (0,0) where x=0.

Since x=0 is less than two, we know that (0,0) satisfies the inequality, so the area to the left of the vertical line (x=2) satisfies the inequality.

Hence the proper graph would show the left side shaded, but at x=2, the vertical line should be dotted.

An even simpler rule to find the region is to see that "x < something" is to the left, and "x > something" is to the right of a vertical or a slanted line.


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anastassius [24]
4) x=16
Vertical angles have equal angles when two lines intersect, which they do in this case. 
3x-3=2x+13
Solve for x:
x=16

5) 34 degrees
Lines AK and MJ bisect each other perpendicually, so <ADJ is 90 degrees. 
4x+3x-8=90
7x-8=90
7x=98
x=14
<CDJ=3x-8
=3(14)-8
=34 degrees

Hope this helps :)

6 0
3 years ago
It is 280 feet to the cafeteria.how many feet are there in a round trip
kodGreya [7K]
A round trip is twice the distance herein;
So, (280*2) feet
=560 feet
6 0
3 years ago
Hey!<br> Question: <br> Simplify (16y^8)^3/4<br><br> Thanks for the help!
olasank [31]
Hope this helps! Is from the app Photomath.

8 0
3 years ago
(2 thousands 7 tens )÷10 in unit form and standard form is what?
Nutka1998 [239]
<span>1.       </span><span>Given equation = 2 thousands 7 tens / 10.
From this given equation, give the unit form and the standard form
Unit form is the expression where you replace the number with its place values.
=> 2 thousands and 7 tens divided by 1 tens.
=> 2 hundreds 7 ones – answer in unit form
Standard form is the expression which uses numbers and operators to express an equation.
=> 2 070 / 10
=> 207 – answer in standard form</span>



6 0
3 years ago
Read 2 more answers
Evaluate
lora16 [44]

Answer:

8

Step-by-step explanation:

the top part with the variables filled in is 0 + (2x4) + (3x4x2) which is 32

the bottom part would be (3x0) + 4 which is 4

7 0
3 years ago
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