9514 1404 393
Answer:
(x, y) = (-1, -3)
Step-by-step explanation:
The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.
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We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.
-4(2x -7y) +7(7x -4y) = -4(19) +7(5)
-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses
41x = -41 . . . . . simplify
x = -1 . . . . . . . divide by 41
Using the second equation, we find y to be ...
(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3
So, the solution is (x, y) = (-1, -3).
For this case, we have that:
- By definition, a rectangle is a parallelogram. So, we discard the first option.
- On the other hand, we have that all rectangles can not be squares, since a square has all its sides equal, while the rectangle, poir definition, no.So, we discard the second option.
- All quadrilaterals are not rectangles because there are other figures with four sides that are not necessarily rectangular. We discard the third option.
- Finally, we have that all squares are rectangles. This statement is true since squares can be rectangles with pairs of equal sides.
Answer:
Option D
Answer:
-3/4 pi radians
Step-by-step explanation:
<em>180° is 1 pi radian</em>
Hence, -<em>135° = -135/180 pi radians</em>
= -0.75 pi radians
= -3/4 pi radians
Rashid is paid by the hour. He earned $50 for 4 hour workday. How much does he earn for a 5 1/2 hour workday?
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Use a proportion:
x/(5 1/2) = 50/4
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x = (11/2)(50/4)
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x = 550/8
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x = $68.75
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Answer:
no
Step-by-step explanation:
hope this helps
