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White raven [17]
2 years ago
8

Which lines are parallel?

Mathematics
1 answer:
Vinil7 [7]2 years ago
7 0

red and green

they go in the same direction, side by side, and will never touch

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Which of the following describes the graph of 2x + 4y < 16?
kherson [118]
<h3>Answer: A) Dashed line, shaded below</h3>

=============================================================

Explanation:

2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).

The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16

To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".

We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.

---------------------

Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.

Plug those coordinates into either equation. I'll pick the second equation

y < -0.5x+4

0 < -0.5*0+4

0 < 0+4

0 < 4

The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4

So this is another way to see that the shaded region is below the boundary line.

6 0
3 years ago
Write the subraction problem 604-357. describe how you will subtract to find the difference
andre [41]
First you will subtract right to left and then what ur left with is the sum.
3 0
4 years ago
Read 2 more answers
Which statement is true about every rectangular pyramid?
Ratling [72]

Answer:

At least two of the lateral faces are congruent.

Step-by-step explanation:

Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.

hope this helps:)

3 0
3 years ago
Read 2 more answers
Denise is designing the seating arrangement for a concert an outdoor theater. To give everyone a good view, each row must have 6
Soloha48 [4]
Given:
1st term = 11
common difference = 6

f(x) = 11 + 6(x - 1)
f(18) = 11 + 6(18-1)
f(18) = 11 + 6(17)
f(18) = 11 + 102
f(18) = 113 number of seats in row 18.

Row
<span> <span> </span><span><span> 1              11    11  
</span><span>2       11     6    17
</span> <span> 3       17     6    23
</span> <span> 4       23     6    29
</span> <span> 5       29     6    35
</span> <span> 6       35     6    41
</span> <span> 7       41     6    47
</span> <span> 8       47     6    53
</span> <span> 9       53     6    59
</span> <span> 10     59     6    65
</span> <span> 11     65     6     71
</span> <span> 12     71     6     77
</span> <span> 13     77     6     83
</span> <span> 14     83     6     89
</span> <span> 15     89     6     95
</span> <span> 16     95     6    101
</span> <span> 17   101     6    107
</span> <span> 18   107     6    113 </span></span></span>
6 0
4 years ago
3/2+3/5x=9/2+4/5x<br> Please answer in detail
Ksivusya [100]

Answer:x=-15

Step-by-step explanation: Solve for x by simplifying both sides of the equation, then isolating the variable.

(I am very sorry that i couldnt explain more but im too tired to explain it in excruciating detail.)

7 0
3 years ago
Read 2 more answers
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