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:
13,92838827718412ft
Step-by-step explanation:
a² + b² = c²
a = 13ft
b = 5ft
169 + 25 = 194
c = √194
c = 13,92838827718412ft
Answer:
The answer is C.-216
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Volume can be described as the total amount of space that is in a closed surface. this amount of space is usually three dimensional. Volume is usually measured in m³ or cm³ or in³
For example, the volume of a rectangular box given the following dimension : length - 3cm
breadth - 8cm
height - 10 cm
volume = length x width x height = 8 x 3 x 10 = 240 cm³
Answer:
10.9
Step-by-step Explanation:
The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.
The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.
Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.
Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2