Answer: The system of equations have many solutions and the correct options are A,B and D.
Explanation:
The given equations are,
..... (1)
.... (2)
Simplify the second equation.
Divide both sides by 3.
It is same as equation (1). Since equation (1) and (2) are same, therefore all the points lies on the line or which satisfies the equation are the solution of the given system of equations.
Test the points whether the point lies on the line or not.
Check for point A(6,-7).
LHS and RHS are equal, therefore the point A is the solution of the system of equations.
Check for point B(2,1).
LHS and RHS are equal, therefore the point B is the solution of the system of equations.
Check for point C(-2,-9).
LHS and RHS are not equal, therefore the point C is not the solution of the system of equations.
Check for point D(-4,13).
LHS and RHS are equal, therefore the point D is the solution of the system of equations.
Therefore the options A,B and D are correct.
Two triangles: left triangle with y degrees and 40 degrees and right triangle with x degrees.
- 40 degrees from the left triangle, when adding with the unknown angle of the right triangle, is equal to 180 degrees.
- Adding left triangle's (third) undetermined angle and x degrees angle (the other same angle), is equal to 90 degrees.
- The right triangle is an isosceles triangle, meaning two equal angles, and one of them is x degrees. Thus, the other same angle is also x degrees.
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1) Subtract 180 - 40 = 140 degrees. 140 degrees is the unknown angle of right triangle.
2) 140 + x + x = 180 (equation)
- 140 + 2x = 180
- 2x = 180 - 140
- 2x = 40
- x degrees = 20 degrees
ANSWER: x = 20 DEGREES
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1) With knowledge of x degrees being 20 degrees, the other same angle is 20 degrees, too.
2) Subtract 90 - 20 = 70 degrees. 70 degrees is the (third) undetermined angle
of left triangle.
2) 70 + 40 + y = 180
- 110 + y = 180
- y = 180 - 110
- y = 70 degrees
ANSWER: y = 70 DEGREES
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Whew. Hope this helps you out, and let me know asap if you're confused on any part.
Answer:
-8±10x
Step-by-step explanation:
you will follow BODMAS
B=bracket
O= off
D=division
M=multiplication
A=addition
S=subtraction
2×3=6
7×2=14
[6-14±10x-8]÷[x-2]
14±8=22
6-22=-16
[-16±10x]÷[x-2]=-8±10x
Answer:
The answer is A. 2x + 4y is lesser or equal to 75 because they are talking about 2 pairs of jeans first
