The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
Given that the end points of line segment are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.
Line segment is a collection of points which when together joined joins two points on a surface.
The coordinates of point dividing a line segment with end points
and ratio m:ncan be calculated using the below given formula:
(X,Y)=
.
We have to just put the values in the above formula to get the coordinates.
(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)
=(50+1/6,15-2/6)
=(51/6,13/6)
=(17/2,13/6)
Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
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Answer:
53.33mph
Step-by-step explanation:
Let's calculated the total time spent on the journey first;
For the first 300miles the time spent is ;
From Distance = speed× time
time = Distance/ speed
= 300/60 = 5 hours
Similarly for the last 100mile the time taken is ;
100/40 = 2.5 hours
Total time spent = 5 +2.5 = 7.5 hours
Total distance covered 400miles
Therefore average speed = 400/7.5 =53.33mph
<h3>
Answer: 13/36</h3>
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Explanation:
Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.
Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8
- outcome = 1+1 = 2
- outcome = 1+2 = 3
- outcome = 2+1 = 3
- outcome = 3+6 = 9
- outcome = 4+5 = 9
- outcome = 5+4 = 9
- outcome = 6+3 = 9
- outcome = 4+6 = 10
- outcome = 5+5 = 10
- outcome = 6+4 = 10
- outcome = 5+6 = 11
- outcome = 6+5 = 11
- outcome = 6+6 = 12
These 13 results are shown in green boxes in the diagram.
Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36
13/36 = 0.3611 = 36.11% approximately
Answer:
D) 1541
Step-by-step explanation:
I like to answer it w without deriving the formula of f(g(x)). So, we go this way, you firstly have to find g(7) which will be equal to 3 * 7 - 5 = 16.
And then you find f(16) = 6*16*16+5 = 1541. That's all.