Answer:
9 in.
Step-by-step explanation:
Given that the 4 in and 10 in. lines are parallel, the two triangles are similar.
As such, the ratio of the sides would give the same results.
Hence,
4/6 = 10/(6 + x)
cross multiplying
4(6 + x) = 60
Dividing both sides by 4
6 + x = 15
collecting like terms
x = 15 - 6
= 9
I believe it would be (9, 16). My reasoning for this is that if the slope is 1/3, then x would increase by 3 and y would increase by 1.
What are the next three terms in the sequence? 2, -3, -6, 18, … -108, -1,944, -209,952 -108, 1,944, -209,952 -108, -1,944, 209,9
Semenov [28]
Answer: -108, -1,944, 209,952
Step-by-step explanation:
The the next term in this sequence is being determined by multiplying the last two numbers of the sequence.
Next three terms are;
= -6 * 18
= -108
= 18 * -108
= -1,944
= -108 * -1,944
= 209,952
Answer:
Step-by-step explanation:
According to the Factor Theorem, a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
We have the polynomial:
And we want to find the value of <em>K</em> such that (<em>x</em> + 1) is a factor.
We can rewrite our factor as (<em>x</em> - (-1)). Thus, <em>a</em> = -1.
Then in orer for (<em>x</em> + 1) to be a factor, P(-1) must equal 0. Hence:
Simplify:
Solve for <em>K. </em>Hence:
