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balu736 [363]
4 years ago
13

Which ordered pair is a solution to the equation 2x - 4y = 18?

Mathematics
2 answers:
cestrela7 [59]4 years ago
7 0

Answer:  The correct option is (D) (11, 1).

Step-by-step explanation:  We are given to select the correct ordered pair that is a solution to the following equation :

2x-4y=18~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

If an ordered par is a solution to the given equation (i), it must satisfy the equation.

(A) (-1, 4).

For x = -1  and  y = 4, we have

L.H.S.=2x-4y=2\times(-1)-4\times4=-2-16=-18\neq 18\\\\\Rightarrow L.H.S.\neq R.H.S.

So, the ordered pair (-1, 4) is NOT a solution to equation (i).

(B) (0, 4).

For x = 0  and  y = 4, we have

L.H.S.=2x-4y=2\times0-4\times4=0-16=-16\neq 18\\\\\Rightarrow L.H.S.\neq R.H.S.

So, the ordered pair (0, 4) is NOT a solution to equation (i).

(C) (9, 2).

For x = 9  and  y = 2, we have

L.H.S.=2x-4y=2\times9-4\times2=18-8=10\neq 18\\\\\Rightarrow L.H.S.\neq R.H.S.

So, the ordered pair (9, 2) is NOT a solution to equation (i).

(D) (11, 1).

For x = 11  and  y = 1, we have

L.H.S.=2x-4y=2\times11-4\times1=22-4=18\\\\\Rightarrow L.H.S.\neq R.H.S.

So, the ordered pair (11, 1) is a solution to equation (i).

Thus, the correct option is (D).

weqwewe [10]4 years ago
5 0
(11,1) because if you plug in x and y this answer is the only one that gives you 18 in the end
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9514 1404 393

Answer:

  A. 53.5cm^2

Step-by-step explanation:

The area of the circle is ...

  A = πr²

  A = 3.14(5 cm)² = 78.5 cm²

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  A = 1/2bh

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The shaded area is the difference between the circle area and the triangle area:

  shaded = 78.5 cm² -25 cm² = 53.5 cm²

_____

<em>Additional comment</em>

As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).

The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.

7 0
3 years ago
What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (2, 8)(2,8)?
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Step-by-step explanation:

4 0
3 years ago
Write an equation to represent each relationship 23 more than 10 times a number is the same as 5 more than the number
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5 0
3 years ago
Equiangular polygon has how many sides exterior angle is 25
Softa [21]
If the exterior angle is 25o then the interior angle is its supplement.
The interior angle = 180 - 25 = 155 degrees. All angles are equal in the interior.
The sides aren't.

I'm hoping you get an answer besides mine. I can take you so far.
The formula for an interior angle is 

180(1 - 2/n) = Interior angle. When you solve this you get
180(1 - 2/n) = 155
1 - 2/n = 155/180
1 - 2/n = 0.86111111
- 2/n = 0.8611111 - 1
2/n = 0.13888888
2 / 0,1388888 = n
n = 14.4

You can google equiangular polygon theorem to see where I got the formula. The problem is that I really don't know how to interpret the answer. It looks like you have 14 conguent sides and 1 that is 0.4 left over. The figure might still be equiangular.
5 0
3 years ago
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