Answer:
A = x^2 - x + xy - y
P = 4x + 2y - 2
Step-by-step explanation:

I hope that is useful for you :)
-2x • 3x = -6x2 (the 2 is an exponent)
4y • -7y = -28y2 (the 2 is an exponent)
-2x • -7y = 14xy
4y • 3x = 12xy
14xy + 12xy = 26xy
—> -6x2(expo) - 28y2(expo) + 26xy
Check the answer again just to be sure, it’s been a while since I’ve had algebra!
Answer:
2x^2 + x - 1
If I did anything you didn't understand let me know so I can explain.
Step-by-step explanation:
All of them are quadratics so let's use that.
The first one is 2x^2 + x - 1. To find the axis of symmetry the strategy is usually to find the two zeroes of a quadratic and pick the number between them. Something to notice though is that 2x^2 + x - 1 is just 2x^2 + x sshifted down 1, so they both have the same axis of symmetry. So I am going to ignore the constant, because then finding the zeroes is much much simpler. I am going to do this with all opions.
So 2x^2 + x - 1 I am just going to use 2x^2 + x. If you factor out an x you get x(2x + 1) So now we have it in factored form and we know the zeroes are 0 and -1/2. The number directly in between these is -1/4, so the axis of symmetry is x = -1/4. I don't know if there is only one with that axis of symmetry so i am going to check the rest.
2x^2 - x + 1 means we are only going to look at 2x^2 - x. factoring we get x(2x - 1) so the zeroes are 0 and 1/2, so the axis of symmetry is at 1/4.
x^2 + 2x - 1 we only use x^2 + 2x. Factored form is x(x+2) so zeroes are 0 and -2 whichh means axis of symmetry is -1
x^2 - 2x + 1 has the same axis of symmetry as x^2 - 2x, which has zeros at 0 and 2 so the axis of symmetry is at 1.
So yep, it was just the first one.
Answer:
Blue Line: y = 4x - 1
Green Line: y = -x + 6
Red Line: y = -x
Step-by-step explanation:
Looking at the equation y = mx + b
- The first giveaway is that the green line is the highest y-intercept (b- value). So we can say it's y = -x + 6
- Second giveaway is that the blue line has the lowest y-intercept (again the b- value). So we can say it's y = 4x - 1
- Third giveaway is that the red line has the same x-intercept AND y-intercept which is y = -x. Both intercepts are (0, 0).
Lastly, the rest of the statements are true in correspondence of the last 3 statements.
Answer:
A theorem is a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
Step-by-step explanation: