If th<span>e equation y=1/3x is the boundary line for the inequality y>1/3 x, then the solution set is illustrated by shading the area ABOVE the line y=(1/3)x.</span>
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer:
Step-by-step explanation:
So we have the system:
If we isolate the x-variable in the first equation:
Subtract 2y from both sides:
Divide both sides by -1:
Therefore, we would substitute the above into the second equation:
The answer is 2y+6
Further notes:
To solve for the system, distribute:
Simplify:
Subtract:
Divide:
Now, substitute this value back into the isolated equation:
Answer:
97.2
Step-by-step explanation:
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Answer:
73°
Step-by-step explanation:
Angle 1 = Angle B
Alternate angles
