Answer:
The answer is
![( - \frac{1}{2} \: , \: \frac{13}{2}) \\](https://tex.z-dn.net/?f=%28%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%3A%20%2C%20%5C%3A%20%20%5Cfrac%7B13%7D%7B2%7D%29%20%20%5C%5C%20)
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
![M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\](https://tex.z-dn.net/?f=M%20%3D%20%28%20%20%5Cfrac%7Bx1%20%2B%20x2%7D%7B2%7D%20%2C%20%5C%3A%20%20%5Cfrac%7By1%20%2B%20y2%7D%7B2%7D%20%29%5C%5C)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
Q(2,4) and R(-3,9)
The midpoint is
![M = ( \frac{2 - 3}{2} \: , \: \frac{9 + 4}{2} ) \\](https://tex.z-dn.net/?f=M%20%3D%20%28%20%5Cfrac%7B2%20-%203%7D%7B2%7D%20%20%5C%3A%20%20%2C%20%5C%3A%20%20%5Cfrac%7B9%20%2B%204%7D%7B2%7D%20%29%20%5C%5C%20)
We have the final answer as
![( - \frac{1}{2} \: , \: \frac{13}{2}) \\](https://tex.z-dn.net/?f=%28%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%3A%20%2C%20%5C%3A%20%20%5Cfrac%7B13%7D%7B2%7D%29%20%20%5C%5C%20)
Hope this helps you
Answer:
Step-by-step explanation:
7x + 14 = 6x + 30
x + 14 = 30
x = 16
Answer: rational
Step-by-step explanation:
Definitely rational because 576 and 684 are both natural numbers
Answer:
Option D is correct.
75 miles is the total distance in miles to Kirk's grandmother's house
Step-by-step explanation:
Let x represents the total distance in miles to Kirk's grandmother's house.
As per the statement:
Kirk's family drove 36 miles in 50 minutes, which was 48% of the distance to his grandmother's house
⇒ Distance Kirk's family drove = 36 miles.
then;
36 = 48% of x
![36 = \frac{48}{100}x](https://tex.z-dn.net/?f=36%20%3D%20%5Cfrac%7B48%7D%7B100%7Dx)
Multiply both sides by 100 we get;
3600 = 48x
Divide both sides by 48 we have;
75 miles = x
Therefore, the total distance in miles to Kirk's grandmother's house is 75 miles
Answer: 7:41 am
Step-by-step explanation:
It takes Ebru 13 minutes to bike to school but if she walks it would take her twice at long.
= 13 * 2
= 26 minutes
If she leaves the house at 7:15 , she will arrive at:
= 715 + 26
= 7:41 hours