Answer:
Just here for points XD.
Step-by-step explanation:
For the first line start at -1 and from there go up to and to the right three
for the second line on nuber one start at 4 and down 1 and to the left 1
Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)
A line segment can be divided into ratios.
<em>The coordinate of P on line segment AB is (5,1)</em>
Given
![A = (-3,-5)](https://tex.z-dn.net/?f=A%20%3D%20%28-3%2C-5%29)
![B = (9,4)](https://tex.z-dn.net/?f=B%20%3D%20%289%2C4%29)
The position of P from A to B is:
![P_A = \frac 23](https://tex.z-dn.net/?f=P_A%20%3D%20%5Cfrac%2023)
So, from P to B would be:
![P_B =1 - \frac 23](https://tex.z-dn.net/?f=P_B%20%3D1%20-%20%20%5Cfrac%2023)
![P_B = \frac 13](https://tex.z-dn.net/?f=P_B%20%3D%20%5Cfrac%2013)
So, the ratio is:
![m : n = \frac 23 : \frac 13](https://tex.z-dn.net/?f=m%20%3A%20n%20%3D%20%5Cfrac%2023%20%3A%20%5Cfrac%2013)
Simplify
![m : n = 2 :1](https://tex.z-dn.net/?f=m%20%3A%20n%20%3D%202%20%3A1)
<u>The coordinate of point P is:</u>
![P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})](https://tex.z-dn.net/?f=P%20%3D%20%28%5Cfrac%7Bmx_2%20%2B%20nx_1%7D%7Bm%20%2B%20n%7D%2C%5Cfrac%7Bmy_2%20%2B%20ny_1%7D%7Bm%20%2B%20n%7D%29)
So, we have:
![P = (\frac{2 \times 9 + 1 \times -3}{2 + 1},\frac{2 \times 4 + 1 \times -5}{2 + 1})](https://tex.z-dn.net/?f=P%20%3D%20%28%5Cfrac%7B2%20%5Ctimes%209%20%2B%201%20%5Ctimes%20-3%7D%7B2%20%2B%201%7D%2C%5Cfrac%7B2%20%5Ctimes%204%20%2B%201%20%5Ctimes%20-5%7D%7B2%20%2B%201%7D%29)
![P = (\frac{15}{3},\frac{3}{3})](https://tex.z-dn.net/?f=P%20%3D%20%28%5Cfrac%7B15%7D%7B3%7D%2C%5Cfrac%7B3%7D%7B3%7D%29)
![P = (5,1)](https://tex.z-dn.net/?f=P%20%3D%20%285%2C1%29)
<em>Hence, the coordinate of P is (5,1)</em>
Read more about line ratios at:
brainly.com/question/8847082
Answer:
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Step-by-step explanation:
find out what