(a) 5^31-5^29 = 5^29(5^2-1)
= 5^29(24)
= 5^29(6)(4)
=5^26(6)*[(5)(5)(4)]
=5^26(6)*100
(b) 25^9+5^17 = 5^18+5^17
=5^17(5+1)
=5^17(6)
=5^16[(5)(6)]
=5^16*30
(c) 27^10–9^14 = 3^30-3^28
=3^28(3^2 -1)
=3^28(8)
=3^27[(3)(8)]
=3^27*24
Answer:
3x times 3x times 3x times 3x + x^3 + 3x times 2x times 3x times 2x + 2x
or
x^3 + 2x^3 + 3x^6
Step-by-step explanation:
3x^4 + x^3 + 6x^2 + 2x
3x times 3x times 3x times 3x + x^3 + 6x times 6x + 2x
3x times 3x times 3x times 3x + x^3 + 3x times 2x times 3x times 2x + 2x
x^3 + 2x^3 + 3x^6
If clark left at 7:43, and 30 minutes later he arrived he would get to school around 8:13, 7:43 + 30 = 8:13
Answer:
a = -0.3575
Step-by-step explanation:
The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.
The points A and B are located where

This gives


Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

Thus the coordinates of B are:

Now this point B lies on the parabola, and therefore it must satisfy the equation 
Thus

Therefore

