The geometric mean would be 12
Answer:
499
Step-by-step explanation:
<h3>
Answer: n = -11</h3>
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Explanation:
Since x-2 is a factor of f(x), this means f(2) = 0.
More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.
So if we plugged x = 2 into f(x), we'd get
f(x) = x^3+x^2+nx+10
f(2) = 2^3+2^2+n(2)+10
f(2) = 8+4+2n+10
f(2) = 2n+22
Set this equal to 0 and solve for n
2n+22 = 0
2n = -22
n = -22/2
n = -11 is the answer
Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10
Plug x = 2 into that updated f(x) function to find....
f(x) = x^3+x^2-11x+10
f(2) = 2^3+2^2-11(2)+10
f(2) = 8+4-22+10
f(2) = 0
Which confirms our answer.
So... we have two numbers
say "a" and "b"
one is larger than the other, let us say, "b" is larger than "a"
by how much?
well, "<span>eight more than three times"
three times the smaller is 3 * a, or 3a
eight more than that is 3a + 8
so b = 3a+ 8
the sum of both of them is 52
so, we know that
a + b = 52
run a substitution on "b" on the 2nd equation, and solve for "a"
once you find "a", plug it back in the 2nd equation, to get "b"
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Polygons are said to be equal if the ratio of their corresponding sides and corresponding angles are equal. If the lengths are proportional, then it must be that the perimeter as well are proportional. Therefore, the correct answer is the second option. The perimeter of <span>ABCDE 14.6 units.</span>
