Answer:
k is 63
Step-by-step explanation:
The positive integer k has exactly two positive prime factors, 3 and 7
Lets write the combination of prime factors including 1 and k
1, 3, 7, _ , _ , k
using the above factors 3 times 7 is also the factor
so 21 is the other factor
1, 3, 7, 21 , _ , k
Now we use the given statements
(1) 3^2 is a factor, so 9 is also a factor
1, 3, 7, 21 , 9 , k
7^2 is NOT a factor of k. so 49 is not a factor of k
So 3,3 and 7 is the factor of k
K is 63
Put the demical in the rite place
Answer:
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z----> the scale factor
x----> corresponding side of the larger trapezoid
y----> corresponding side of the smaller trapezoid
we have
substitute
step 2
Find the area of the larger trapezoid
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z----> the scale factor
x----> area of the larger trapezoid
y----> area of the smaller trapezoid
we have
substitute
Hello,
f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)
lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11
Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11
at point(1,-7)
I'm guessing the repeating part is 89 at the end, so that
Then
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An arguably quicker way without using geometric series: