Answer:
Step-by-step explanation:
In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.
Answer:
8.60 units (3 s.f.)
Step-by-step explanation:
The distance between 2 points is given by the formula:

Thus using the above formula,
Distance between (-10, 9) and (-5, 2)

The series converges to 1/(1-9x) for -1/9<x<1/9
Given the series is ∑ 
We have to find the values of x for which the series converges.
We know,
∑
converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, ∑
is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for -1/9<x<1/9
And geometric series converges to a/(1-r)
Here, a = 1 and r = 9x
Therefore, a/(1-r) = 1/(1-9x)
Hence, the given series converges to 1/1-9x for -1/9<x<1/9
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Answer:
B is the right answer
Step-by-step explanation:
because of negative 7 on the right it shows that it is down 7
Answer:
Triangle RED ≈ Triangle BUL
By-
SAS Congruencey
Beacause-
RE = BU (S)
ang RDE = ang BLU (A)
RD = BL (S)
(All the info for the relationship is given in the diagram itself)
Thus it's SAS Congruencey