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3 years ago

Which of the following combined with the equation −9x + 3y = 12 creates a system of linear equations with no solution?

Mathematics

1 answer:

Mumz [18]3 years ago

8 0

Answer:

Step-by-step explanation:

You can't get an exact answer to this because there are no choices.

Add 9x to both sides.

3y = 9x + 12 Divide by 3

3y/3 = 9x/3 + 12/3 Combine

y = 3x + 4

Now to get anything at all that is parallel to this and providing no answer because there is no intersection of the two lines, just change the 4 to something else. Here's one example

y = 3x + 8

As long as the number in front of the x's is the same, they are parallel with no point in common.

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) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

$2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}$

Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

7 0

2 years ago

Martha buys a surfboard that cost $405 for 40% off. How much money does she save?

alukav5142 [94]

Answer:

$162

Step-by-step explanation:

Discount = percentage discount ÷ 100 × original cost

Discount = $\frac{40}{100}$ × $405 = $162

7 0

2 years ago

The sum of the angle measures of a polygon with s sides is 2340. find s.

marta [7]

Answer:

s = 15.

Step-by-step explanation:

The formula for a polygon with s sides is:

Sum of the angles = 180(s - 2) so we have:

180(s - 2) = 2340

180s - 360 = 2340

180s = 2700

s = 15

8 0

3 years ago

Find the length of the arc round your answer to the nearest 10th

son4ous [18]

Answer:

Step-by-step explanation:

3 0

2 years ago

5 more than the product of 4 and some number is equal to 33

gregori [183]

Answer:

33 = 4x + 5

Step-by-step explanation:

If you convert this expression into numbers, it would be 4 times the number x plus 5 is equal to 33.

Hopefully this helps! Let me know if you have any questions!

8 0

2 years ago

Read 2 more answers