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Explain How to Distribute simplifying expressions?
The distributive law states that for all numbers a, b, and c,
a(b + c)= ab + ac
What does this mean in plain language? It means if you want to multiply a by a sum of two (or more) terms, like b + c, you can just multiply by each term seperately.
For example, if you want to multiply 3 by x + 2, you just multply 3 by each of the terms x and 2:
3(x + 2)
= 3 - x + 3 - 2 (You don't usually bother to write this step)
= 3x + 6
Some more examples
Example.
x(x + 2y)
= x + 2 xy
1.gif (214 bytes)
= 4x + 2.gif (120 bytes)
= 4x + 2
3x + 4(y + 10)
= 3x + 4y + 40
(Why didn't the 3x get distributed? Because its not part of the multiplication. The only thing being multiplied by y + 10 is 4.)
(3x + 4)(y + 10)
= (3x + 4) y + (3x + 4) 10
Cool, huh? I distributed the entire expression 3x + 4. Parentheses are required! By the way, we can still distribute some more if we want.
= 3xy + 4y + 30x + 40.
A water sprinkler operates in a circular pattern a distance of 10 ft. Evaluate the circumference of the spray? (π = 3.14) a. 31.4 ft b. 314 ft c. 62.8 ft d. 628 ft
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what is the expiremental probability that the next toss and spin will result in 3 and tail if 1-heads,53.2-heads,49.3-heads,54.1-tail,65.2-tails,71.3-tails,62
27-125 a power -135a +225a power2
Determine if the line that passes through the points ( -2, -10) and (6, -1) is parallel, perpendicular or neither to the line specified by 7 y - 9 x = 15 . Solution Togive
Also, their inability to apply the algorithm for division becomes quite evident. The reason for these difficulties may be many. We have listed some of them below. 1) There are n
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G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at
how to multiply 8654.36*59
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