Mathematics, 25.02.2021 04:00 ttangelique

Can someone help me plz

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Answer from: jolancunningham

Answer and Step-by-step explanation:

So, we are given that the slope of side AB is -3.

Let's draw out a right triangle. C

/ |

/________________|

A B

So, we see side AB, and side BC.

(Don't look at AB as a straight line like this, imagine it slanted if you want to)

If the slope is -3, and the intersection of AB and BC make a perpendicular, then a slope of $\frac{1}{3}$ would cause the right angle to form.

So, $\frac{1}{3}$ is the slope of BC.

#teamtrees #PAW (Plant and Water)

Answer from: Quest

the balance is found at the link

step-by-step explanation:

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

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