Answer:
Z(-0.2, 2.2).
Step-by-step explanation:
We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.
![[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%20y%3D%20%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.
Upon substituting coordinates of our given points in section formula we will get,
![[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B%283%2A4%29%2B%287%2A-2%29%7D%7B3%2B7%7D%2C%20y%3D%20%5Cfrac%7B3%2A5%2B7%2A1%7D%7B3%2B7%7D%5D)
![[x=\frac{12-14}{10}, y= \frac{15+7}{10}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B12-14%7D%7B10%7D%2C%20y%3D%20%5Cfrac%7B15%2B7%7D%7B10%7D%5D)
![[x=\frac{-2}{10}, y= \frac{22}{10}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B-2%7D%7B10%7D%2C%20y%3D%20%5Cfrac%7B22%7D%7B10%7D%5D)
![[x=-0.2, y= 2.2]](https://tex.z-dn.net/?f=%5Bx%3D-0.2%2C%20y%3D%202.2%5D)
Therefore, coordinates of point Z will be (-0.2, 2.2).
Answer:
the simple interest in both cases is 200 and 756 respectively
Step-by-step explanation:
The computation of the simple interest is shown below:
As we know that
Simple interest = P × r% × t
So
a. Simple interest is
= 2,500 × 8% × 1
= 200
b. The simple interest is
= 4,200 × 6% × 3
= 756
Hence, the simple interest in both cases is 200 and 756 respectively
The slope of the line is: y= 2x+2
Answer:
Take the numbers 50 and 30. Their greatest common factor is 10, since 10 is the greatest factor that both numbers have in common. To find the GCF of greater numbers, you can factor each number to find their prime factors, identify the prime factors they have in common, and then multiply those together.
Step-by-step explanation:
The median would be the middle data point. Let’s list the points
25, 26, 31, 39, 32, 57
Put them in order from least to greatest
25, 26, 31, 32, 39, 57
There is an even amount of data so take the two center points and divide by 2
31 + 32 = 63
Divide by 2
31.5
There would be an average of 31.5 strokes
