1+4=5
2+5=7
3+6=9
8+11=19
hope this helped:)
Pythagorean theorem - a^2 + b^2 = c^2
2^2+3^2 = d^2
d^2 = 13
d= square root of 13
Answer:
The total cost of tickets sold is $2016.
Step-by-step explanation:
What I did to get this answer was multiply 168 and 12
Hopes everyone has a good day, and plz stay safe :)
Answer:
Option B.
Step-by-step explanation:
If two lines are parallel then their slopes are always same.
Following this rule we can find the slope by the given pairs of coordinates of the options.
If the slope of the line is same as the slope of y axis then the line passing through these points will be parallel to the y axis.
Slope of y - axis = ∞
Option A). Slope = ![\frac{y-y'}{x-x'}](https://tex.z-dn.net/?f=%5Cfrac%7By-y%27%7D%7Bx-x%27%7D)
= ![\frac{24-8.5}{3.22-3.2}](https://tex.z-dn.net/?f=%5Cfrac%7B24-8.5%7D%7B3.22-3.2%7D)
= ![\frac{15.5}{0.02}](https://tex.z-dn.net/?f=%5Cfrac%7B15.5%7D%7B0.02%7D)
= 775
Therefore, line passing through points (3.2, 8.5) and (3.22, 24) is not parallel to y axis.
Option B). Slope of the line passing through
and
will be
= ![\frac{\frac{14}{3}-7}{\frac{40}{3}-\frac{40}{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B14%7D%7B3%7D-7%7D%7B%5Cfrac%7B40%7D%7B3%7D-%5Cfrac%7B40%7D%7B3%7D%7D)
= ∞
Therefore, line passing though these points is parallel to the y axis.
Option C). Slope of the line passing through
and (7.2, 5.4)
= ![\frac{5.4-5.4}{7.2-2.9}](https://tex.z-dn.net/?f=%5Cfrac%7B5.4-5.4%7D%7B7.2-2.9%7D)
= 0
Therefore, slope of this line is not equal to the slope of y axis.
Option B. is the answer.
This may look a little confusing but all you have to do is plug the equation given for h(x) which is 2x-5 in to the h(x) area in the equation where it says h(x) + g(x).
So far that’s (2x-5) + g(x)
Then,
Do the same with equation given for g(x) which is now,
(2x-5) + (3x+1)
Then solve,
2x - 5 + 3x + 1
2x + 3x- 5 + 1
5x - 4
Therefore the answer is 5x - 4.