11.
Just look at the graph, and you will see that an original inequality is:
Multiply both sides by 5:Add 6 to both sides:And you will get an equivalent inequality to
.
12.
Just look at the graph, and you will see that an original inequality is:
Multiply both sides by 5:Add 4 to both sides:And you will get an equivalent inequality to
.
The equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form is y = -2/3x + 1
<h3>Equation of a line</h3>
The equation of a line is expressed as;
y = mx + b
m is the slope
b is the y-intercept
Given the equation -3x + 2y = 12
2y = 3x + 12
y = 3/2x + 6
From the equation, the slope that is perpendicular to the slope is -2/3
<u>Determine the equation</u>
y-(-5) = -2/3(x-3)
y+5 = -2/3x + 6
y = -2/3x + 6 - 5
y = -2/3x + 1
Hence the equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form is y = -2/3x + 1
Learn more on equation of a line here: brainly.com/question/13763238
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55 / 3 = 18.33 (or 18 1/3) miles per hr
Answer:
10 inches
Step-by-step explanation:
Assuming that by 'deep' you mean length, we can set up a simple algebraic expression to solve this problem. We know that a rectangle has 4 sides, 2 of them equal sides, and all of those sides added up equals the perimeter. To say that algebraically, . We can fill in the blanks on this equation to solve.
The length of the other side is 10 inches.
Hope this helped!
Answer:
A.) 1
Step-by-step explanation:
First change the equation to 2 + ( - 8x ) = -6 so it’s easier to read
Take away 2 from both sides
So now you have -8x = -8
Divide both sides by -8 so you get positive x and 1
x = 1