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What does 7 to the 2nd power equal?
72 = 7 x 7 = 49
What is the answer when you factorise 6x² plus 7x plus 12?
The expression: 6x2 + 7x + 12 has no factors. To demonstrate this point, let's try to find two values that we would use to break the expression down into multiple terms. We'll call them a and b. The sum of a and b should be equal to 7 (the coefficient of the middle term), and their product should be 72 (the product of the coefficients of the first and last terms: a + b = 7 ab = 72 We can then take one of the equations and plug it into the other, reducing to a single variable: a + 72/a = 7 And then we can try to solve for a: ∴ a - 7 = -72/a ∴ a2 - 7a = -72 ∴ a2 - 7a + (7/2)2 = (7/2)2 - 72 ∴ (a - 7/2)2 = (7/2)2 - 72 ∴ a - 7/2 = (49/4 - 72)1/2 ∴ a = (49/4 - 288/4)1/2 + 7/2 ∴ a = (49 - 288)1/2 / 2 + 7/2 ∴ a = (7 ± i √239) / 2 This leaves us with a pair of complex values for a and b, showing that the original expression can not be factored.
How do you know 72 over 80 is greater than 7 over 8?
Expressed as a decimal, 72/80 is equal to 0.9, while 7/8 is equal to 0.875.
How many inches is equal to 2 yards?
72 inches
What is the distance between a2 7 and b-5 0?
Dist2 = [2 - (-5)]2 + [7 - 0]2 = 72 + 72 = 2*72 So dist = 7*sqrt(2) = 9.8995
