Answer:
x = -11 5/17
Step-by-step explanation:
3x + 2y = 12
2x - 3y = -57
5x + y = -45
y = -5x - 45
2x - 3 (-5x - 45) = -57
2x + 15x + 135 = -57
17x + 135 = -57
17x = -192
x = -11 5/17
Answer:
Step-by-step explanation:
256 = 16×16=4×4×4×4 = 4^4
X^4-4^4 = (x^2)^2 - (4^2)^2
Using algebraic identity a^2-b^2 = (a+b)(a-b)
We get (x^2+4^2)(x^2-4^2)
(x^2+4^2)(x+2)(x-2)
The equation of the graph, in slope-intercept form, is: C. y = 2/3x + 6.
<h3>How to Write a Linear Equation in Slope-Intercept Form?</h3>
The linear equation of a graph in slope-intercept form is expressed as y = mx + b. Where the variable in the equation are as follows:
- b = y-intercept (this is the point on the y-axis where the line intercepts).
- m = slope (this is the rise/run along the line = change in y / change in x).
Considering the graph given, to write the linear equation it represents, find the slope (m) and the y-intercept (b) of the line.
Slope (m) = rise/run = 2 units/3 units
Slope (m) = 2/3.
The line intercepts the y-axis at y = 6, thus, the y-intercept (b) would be 6. b = 6.
Substitute m = 2/3 and b = 6 into the slope-intercept form equation, y = mx + b:
y = 2/3x + 6
Thus, the equation, in slope-intercept form, that represents the linear graph as shown in the image given is: C. y = 2/3x + 6.
Learn more about the slope-intercept equation on:
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The answer is 5/6. Just do 2/3 divided by 8
Answer: 1,600 cubic inches
Step-by-step explanation: 20x4=80 multiply both sides 80x20=1,600 cubic inches
