Answer:
x = 3 . . . or . . . x = 4
Step-by-step explanation:
The factored form is ...
(x -3)(x -4) = 0
The zero product rule tells you the solutions are the values of x that make the factors be zero:
x = 3
x = 4
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Comment on factoring
When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:
(x +a)(x +b) = x^2 +(a+b)x + ab
What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.
12 = -1×-12 = -2×-6 = -3×-4
The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...
(x -3)(x -4) = 0
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If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).
Answer:
Step-by-step explanation:
Height of the trapezoids = sqrt (17^2 - 8^2) = 15cms
base = 19 cms
(b) area of each trapezoid = 15/2 (35 + 19) = 405 cm^2
Total area painted blue = 2*405 = 810 cm^2
(c) length of the edges of one trapezoid = 35 + 19 + 2(17) = 88 cms
So one piece of sandpaper ( can sand up to 80 cm) will not be enough to sand all of the edges.
Answer:
0.06
Step-by-step explanation:
6 is 6.0 and 0.06 times 100 is 6.
Answer:
Exact Form:
31/24
Decimal Form:
1.291¯6
Mixed Number Form:
1 7/24
Step-by-step explanation:
