Answer:
x= negative 1 and 2/5 y=1 and 3/5
Step-by-step explanation:
1. Start by putting both equations into slope-intercept form. (y=mx+b)
-3x+3y=9
-3x+3x+3y=9+3x
3y=9+3x
3y/3=9+3x/3
y=3+x
2x-7y=-14
2x-2x-7y=-14-2x
-7y=-14-2x
-7y/-7=-14/-7-2x/-7
y=2+2/7x
2. Graph the equations and find where they intercept.
Answer:
35/37
Step-by-step explanation:
In this question, we are to calculate the ratio that represents the cosine of angle O
Firstly, please check attachment for diagram of the triangle.
Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse
The hypotenuse is the longest length which is 37 which represents the length ON
The side adjacent to angle O is the side OP which is 35
Thus, the ratio representing the cosine of angle O is 35/37
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
brainly.com/question/2972832
D
You figure out the absolute value by determining how far the number is from the point 0 on a number line.
Answer:
You need to plot the points at (1.5, 0) and (0,-3)
Step-by-step explanation:
