Slope denoted as m can be calculated from 2 diff. points using the formula:
(y2 - y1) / (x2 - x1) = 1 - 12 / 25 - 0 = -11 / 25
Slope-intercept form is y = mx + b. Using a point,
12 = -11/25(0) + b
12 = b
y-intercept is 12.
To summarize, slope is -11/25, negative because decreasing trend and y-intercept is 12.
You would multiply by

.
When you rationalize the denominator, you multiply by the conjugate of the denominator. The conjugate is the same numbers and radicals, but with the sign of the radical switched.
Answer:
The next term should be 19
Step-by-step explanation:
Each time you add 3, from 10 to 13, and 13 to 16
The next number would be 19 because 16 + 3 = 19
Answer: 27
Step-by-step explanation:
The given sequence : 13, 24, 35, ....
Here, first term : a= 13
Common difference: d=24-13 =11
The nth term of arithmetic sequence is given by :-

It is given that the nth term is 299, so put

Subtract 13 from both sides , we get

Divide both sides by 11, we get

Add 1 on both sides , we get

Hence, the value of n= 27