The x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.
<h2>We have to determine</h2>
What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?
<h3>According to the question</h3>
A line segment at points A(2, -3) and B (-4, 9).
The x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 is given by;
![\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\ \\ y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\ \\](https://tex.z-dn.net/?f=%5Crm%20x%3D%5Cdfrac%7Bm%7D%7B%28m%2Bn%29%7D%20%5Bx_2-%20x_1%5D%2B%20x_1%20%5C%5C%0A%5C%5C%0A%20y%3D%5Cdfrac%7Bm%7D%7B%28m%2Bn%29%7D%20%5By_2-%20y_1%5D%2B%20y_1%20%5C%5C%0A%5C%5C)
Where 
Substitute all the values in the formula;
![\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\\\](https://tex.z-dn.net/?f=%5Crm%20x%3D%5Cdfrac%7Bm%7D%7B%28m%2Bn%29%7D%20%5Bx_2-%20x_1%5D%2B%20x_1%20%5C%5C%5C%5C%20)
![\rm x=\dfrac{1}{(1+2)} [-4-(2)]+ (2)\\\\ x = \dfrac{1}{3} \times (-6) +2 \\ \\ x = -2+2\\ \\ x=0](https://tex.z-dn.net/?f=%5Crm%20x%3D%5Cdfrac%7B1%7D%7B%281%2B2%29%7D%20%5B-4-%282%29%5D%2B%20%282%29%5C%5C%5C%5C%20x%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%20%28-6%29%20%2B2%20%5C%5C%0A%5C%5C%0Ax%20%3D%20-2%2B2%5C%5C%0A%5C%5C%0Ax%3D0)
![\rm y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\\\ y=\dfrac{1}{(1+2)} [9-(-3)]+ (-3)\\\\ y = \dfrac{1}{3} \times (12) -3\\ \\ y = 4-3\\ \\ y =1](https://tex.z-dn.net/?f=%5Crm%20y%3D%5Cdfrac%7Bm%7D%7B%28m%2Bn%29%7D%20%5By_2-%20y_1%5D%2B%20y_1%20%5C%5C%5C%5C%20y%3D%5Cdfrac%7B1%7D%7B%281%2B2%29%7D%20%5B9-%28-3%29%5D%2B%20%28-3%29%5C%5C%5C%5C%0Ay%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%20%2812%29%20-3%5C%5C%0A%5C%5C%0Ay%20%3D%204-3%5C%5C%0A%5C%5C%0Ay%20%3D1)
Hence, the x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.
To know more about Coordinates click the link given below.
brainly.com/question/13847533
Answer:
y+y=22
2y=22
/2 /2
y=11
steve ran 11 miles.
Step-by-step explanation:
Answer:
mode- 1 2/3 and 2
median- 2
mean- 1.96 = 1 96/100 and simplified is 24/25
Step-by-step explanation:
mode is the number that occurs the most and those 2 numbers occur the most.
median is the middle number so you put the numbers is order from least to greatest and mark of numbers one by one on each side and then ur left with two 2's in the middle so you add them and then divide by 2 which gives you 2.
mean is all the numbers added together and then divided by how many numbers there are
Answer:
B) ![8\sqrt[4]{4}](https://tex.z-dn.net/?f=8%5Csqrt%5B4%5D%7B4%7D)
Step-by-step explanation:
![(2^{8} *2^{6} )^\frac{1}{4} = (2^{8+6} )^\frac{1}{4} =(2^{14} )^\frac{1}{4} =2^{\frac{7}{2} }=\sqrt{2^{7} } =2^{3} \sqrt{2} =8\sqrt{2} = 8\sqrt[4]{2^{2} } = 8\sqrt[4]{4}](https://tex.z-dn.net/?f=%282%5E%7B8%7D%20%2A2%5E%7B6%7D%20%29%5E%5Cfrac%7B1%7D%7B4%7D%20%3D%20%282%5E%7B8%2B6%7D%20%29%5E%5Cfrac%7B1%7D%7B4%7D%20%3D%282%5E%7B14%7D%20%29%5E%5Cfrac%7B1%7D%7B4%7D%20%3D2%5E%7B%5Cfrac%7B7%7D%7B2%7D%20%7D%3D%5Csqrt%7B2%5E%7B7%7D%20%7D%20%20%3D2%5E%7B3%7D%20%5Csqrt%7B2%7D%20%3D8%5Csqrt%7B2%7D%20%3D%208%5Csqrt%5B4%5D%7B2%5E%7B2%7D%20%7D%20%3D%208%5Csqrt%5B4%5D%7B4%7D)
Answer:
Shop a
Step-by-step explanation:
1.60/4=£0.4 per battery
2.7/6= £0.45 per battery
Hence the batteries at shop a are cheaper
