Answer:
D
Step-by-step explanation:
blue and next line
(x+5) (x+3) if i am correct.. I dunno for sure
Answer: y = 7.5
Step-by-step explanation:
Suppose that y varies directly with x
That is, y∝x
Convert y∝x to a full equation by introducing a constant k to the right hand side.
Therefore, y = kx
Given that y = 10 and x = 20
Substitute y and x in the equation above. We have;
10 = k(20)
10 = 20k
20k = 10
k = 10/20
k = 0.5
Since k = 0.5, the equation y = kx becomes y = 0.5x
Now, to find y if x = 15, substitute x in equation y = 0.5x
Therefore, y = 0.5(15)
y = 7.5
Answer:
![p:y = 3x-10](https://tex.z-dn.net/?f=p%3Ay%20%3D%203x-10)
Step-by-step explanation:
We are given the following in the question:
A(1, 1), B(2, 4), C(4, 2)
i) Slope of AB
![A(1, 1), B(2, 4)\\\\m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{4-1}{2-1}=3](https://tex.z-dn.net/?f=A%281%2C%201%29%2C%20B%282%2C%204%29%5C%5C%5C%5Cm%20%3D%20%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5Cm%20%3D%20%5Cdfrac%7B4-1%7D%7B2-1%7D%3D3)
Thus, slope of AB is 3.
ii) Point slope form
The point slope form of a line can be written as:
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
The point intercept form of line can be written as:
![y = mx + c](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c)
The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB
Putting values, we get,
![y - 2 = 3(x-4)\\y = 3x-12+2\\y = 3x-10](https://tex.z-dn.net/?f=y%20-%202%20%3D%203%28x-4%29%5C%5Cy%20%3D%203x-12%2B2%5C%5Cy%20%3D%203x-10)
which is the required slope intercept equation of line p.