Answer:
![p(x,y) = (-2.6 ,2.4)](https://tex.z-dn.net/?f=p%28x%2Cy%29%20%3D%20%28-2.6%20%2C2.4%29)
Step-by-step explanation:
Given
a(-5,4) and b(7,-4)
Required
Partition P
Given that the segment ab is divided into ratio;
The coordinates of point p can be calculated using ratio formula given below
![p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})](https://tex.z-dn.net/?f=p%28x%2Cy%29%20%3D%20%28%5Cfrac%7Bmx_2%20%2B%20nx_1%7D%7Bm%2Bn%7D%20%2C%5Cfrac%7Bmy_2%20%2B%20ny_1%7D%7Bm%2Bn%7D%29)
Where m and n are the ratio; m = 1 and n = 4
![(x_1, y_1) = (-5,4); \\(x_2, y_2) = (7,-4)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%28-5%2C4%29%3B%20%5C%5C%28x_2%2C%20y_2%29%20%3D%20%287%2C-4%29)
So,
becomes
![p(x,y) = (\frac{1 *7 + 4 * -5}{1+4} ,\frac{1 * -4 + 4 * 4}{1+4})](https://tex.z-dn.net/?f=p%28x%2Cy%29%20%3D%20%28%5Cfrac%7B1%20%2A7%20%2B%204%20%2A%20-5%7D%7B1%2B4%7D%20%2C%5Cfrac%7B1%20%2A%20-4%20%2B%204%20%2A%204%7D%7B1%2B4%7D%29)
![p(x,y) = (\frac{7 + -20}{5} ,\frac{-4 + 16}{5})](https://tex.z-dn.net/?f=p%28x%2Cy%29%20%3D%20%28%5Cfrac%7B7%20%2B%20-20%7D%7B5%7D%20%2C%5Cfrac%7B-4%20%2B%2016%7D%7B5%7D%29)
![p(x,y) = (\frac{-13}{5} ,\frac{12}{5})](https://tex.z-dn.net/?f=p%28x%2Cy%29%20%3D%20%28%5Cfrac%7B-13%7D%7B5%7D%20%2C%5Cfrac%7B12%7D%7B5%7D%29)
![p(x,y) = (-2.6 ,2.4)](https://tex.z-dn.net/?f=p%28x%2Cy%29%20%3D%20%28-2.6%20%2C2.4%29)
Hence, the coordinates of p are (-2.6,2.4)
Answer: 3
Step-by-step explanation:
25 x (5 - 2) ➗ 5 - 12
Applying the rule of BODMAS
- Solve task in bracket first
25 x (5 - 2) ➗ 5 - 12
= 25 x (3) ➗ 5 - 12
= 75 ➗ 5 - 12
- Solve task of division next
75 ➗ 5 - 12
= 15 - 12
= 3
Thus, the answer is 3
Answer:
115/33 or 3 16/33
Step-by-step explanation:
for a repeading decimal its over 99 so 48/99 +3. So 16/99 +3 = 115/33
Answer:
y = 9
Step-by-step explanation:
The triangle is a 45-45-90 triangle. The legs are congruent, therefore y = 9
Answer:
50 tickts
Step-by-step explanation:
We want to spread 1,000 tickets equally over 20 concerts. This calls for division
1000/20=50
50 tickets are sold each concert