Answer:
a / (a - 4) = a(a + 4) / ((a - 4)(a + 4)) = (a^2 + 4a) / (a^2 - 16) = -(a^2 + 4a) / (16 - a^2)
Answer:
x = 16
Step-by-step explanation:
The equation shown can be solved this way.
x^2 +(x -4)^2 = 20^2
x^2 +x^2 -8x +16 = 400
2x^2 -8x -384 = 0
x^2 -4x -192 = 0
(x -16)(x +12) = 0
The positive solution is ...
x = 16
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Since this makes use of the Pythagorean theorem, you've probably run across the 3-4-5 triangle. You often find scaled versions of it in algebra and geometry problems. Here, it is scaled by a factor of 4 to give a 12-16-20 triangle as half of the display screen.
The 3-4-5 triple is the only Pythagorean triple that is an arithmetic sequence. So, if the difference in side lengths is 4 and the diagonal is 5×4, you can be pretty certain that x = 4×4 and x-4 = 4×3.
To write this as a numerical expression, you will think of the different parts of the math story that are occurring and put them together in one math statement. You have 12 books being ordered that are $9 each AND are paying a $15 shipping charge. This can be written as 12 x $9 + $15. There are 2 terms here - these are the 2 parts! Multiply 12 times 9 first to get $108, then you can add the $15 shipping fee. You can only add units that are the same, so you must multiply first. Your answer statement is a sentence that gives your final answer in a complete sentence. For example, the total cost of Lannie's order is $123.
The coefficients for any expression is the number immediate preceding the variable in a multiplicative fashion. So in the case of 4x^2 +5x - 7, the coefficients are 4 and 5.
Answer:
LCM = x(x - 2)(x - 6)(x + 2).
Step-by-step explanation:
x^2 - 4x - 12 = (x - 6)(x + 2)
x^2 - 8x + 12 = (x - 2)(x - 6)
x^3 - 4x = x(x - 2)(x + 2)
Taking into account the common factors:
LCM = x(x - 2)(x - 6)(x + 2)