We have to determine the equation of the line passing through the point (2,-5) and parallel to the line 
When two lines are parallel, then the slopes of the two lines are equal.
Equation of line with point 
and slope 'm' is given by:
Since, we have to determine the equation of a line with point (2,-5).
So, the equation of the line is : 
Since, the line is parallel to the line 
So, 
So, slope of the line 'm' is 
.
Therefore, the equation of the line is:
Therefore, is the required equation of the line.
I’m pretty sure they are multiplied, if I understand your wording
Determine the next three terms in the following sequence: 2, 3, 5, 8, ____, ____, ____,... a. 13, 19, 26 b. 12, 17, 23 c. 12, 16
Olenka [21]
Answer:
B. 12,17,23
Step-by-step explanation:
2,3,5,8, _,_,_
2,3 is increased by 1
3,5 is increased by 2
5,8 is increased by 3. theres our pattern, each time it increases it follows the next number so the next 3 numbers it would be increased by is. 4,5,6.
Now knowing it is 4,5,6 we need to add, start adding.
8+4=12. Which answers have 12 in them? B and C.
We know 12 is the next number, now we add 5 to that.
12+5=17.
B has 17 but C doesn't, so that tells you its most likely going to be B. To make sure add 6 to 17.
17+6=23. Its true that it is B, as B is 12.17.23.
Given:
The two points are (0, -2) and (9, 10).
To find:
The distance between the given points.
Solution:
Distance between the two points is
Using the above distance formula, the distance between given points is
On further simplification, we get
Therefore, the distance between the given points (0,-2) and (9,10) is 15 units.
I was taught to get a common denominator and then arrange them in the correct order.
So first you find out what all the denominations can be multiplied to. That would be 40
So you multiply the bottom of each fraction by a number that will get 40.
3/4 * 10 = 30/40
7/8 * 5 = 35/40
3/5 * 8 = 24/40
Then you get 30/40, 35/40, and 24/40.
Then you organize the m.
24/40, 30/40, and 35/40
