<span>The logic in the sequence is --> +2, +2, +3, +3, +4, +4, +5, +5, +6, +6 and so on...
So, </span><span>the next number in the sequence would be 24+5 = 29
So, the answer is --> c.29
</span>
Answer:
245 is the answer if you do the math easy
Answer:
a. The graph has a constant of variation of 3, so it represents a direct variation.
Step-by-step explanation:
We have been given a graph and we are asked to find whether our given graph represents direct variation or not.
Since we know that a direct variation is an equation in slope-intercept form, which passes through origin (0,0) and constant of variation equals to the slope of the line.
Direct variation equation is in form:
, where k= constant of variation.
Slope intercept equation of line is in form:
, where m= slope and b= y-intercept.
Let us find equation of our given line in slope-intercept form.
We can see from our given graph that our line passes through the origin, so y-intercept (b) equals zero.
Let us find slope of our given line.
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\frac{3}{1}=3](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3%7D%7B1%7D%3D3)
Upon substituting m=3 and b=0 in slope intercept form of equation we will get:
. Upon comparing our line with direct variation equation we can see that k=3, therefore, option a is the correct choice.
Answer:
if you want to build bridges the Pythagorean theoum is what many people use.