Which of the following are accepted without proof in a logical system?
2 answers:
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When we make the x the subject, we are "solving for x"
A. x = y + 4
Given: y = 2x - 9
Add 9 to both sides (flipping the equation, but it is still equivalent): 2x = y + 9
Dividing both sides by 2: x = y + 4
B. x = 4y - 28
Given: y = + 7
Subtract 7 from both sides: y - 7 =
Multiply both sides by 4 (flipping the equation, but it is still equivalent): x = 4y - 28
C. x = 2y - 6
Given: y =
Multipy both sides by 2: 2y = x + 6
Subtract 6 from both sides of the equation (flipping the equation, but it is still equivalent): x = 2y - 6
D. x = y
Given: y =
Multiply both sides by 4 (flipping the equation, but it is still equivalent): 3x = 4y
Divide both sides by 3: x = y
E. x =
Given: y = x² + 11
Subtract 11 from both sides: y - 11 = x²
Square root both sides (flipping the equation, but it is still equivalent): x =
F. x = y²
Given: y =
Square both sides: y² = 2x
Flip the equation (still equal) and divide both sides by 2: x = y²
Have a nice day! Sorry that this is long, there is a lot to say haha!
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- Heather
If you use the Pythagorean Theorem to find the length of the sides with A and B = to difference of X and Y of the points you'll find the lengths of the sides to be each different, therefore it is scalene. ex; difference between x coordinates of A and B is (-3 - 2) = -5, difference between y coordinates is (6 - 1) = 5, -5^2 + 5^2 = 50, sqrt 50 = 7.071, length of AB is 7.071. If two of the sides are equal in length, it is isosceles, and if all three are equal, it is equilateral.
If you don't want an explanation, it's scalene.
Here is a diagram:
If you don't want an explanation, it's scalene.
Here is a diagram: