Perform indicated multiplication on left side..
4-x+2=2x-12+3x combine like terms on both sides
-x+6=5x-12 subtract 5x from both sides
-6x+6=-12 subtract 6 from both sides
-6x=-18 divide both sides by -6
x=3
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:
1/2=(A+B)
area of triangle=1/2×base×height
Answer:
3.44 x 10^6
Step-by-step explanation:
41 x 8.4 = 344.4
344.4 x 10^4 = 3.44 x 10^4+2
Hi there!
Since triangle RST is stated with the sides in order (R is connected to S, which is connected to T, which is then connected to R), the side between R and S is T.
Hope this helps!
