Note the slope intercept form: y = mx + b, in which m = slope
Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, add 3x to both sides
-3x (+3x) + 6y = (+3x) + 12
6y = 3x + 12
Fully isolate the y. Divide 6 from both sides (and to all terms)
(6y)/6 = (3x + 12)/6
y = (3x)/6 + (12)/6
Simplify
y = (1/2)x + 2
y = 0.5x + 2 is your equation.
The slope is direclty left of the x (or the m variable). In this case, it is 0.5
0.5 is your answer (or 1/2 if wanted in fraction form)
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The yearly salary after paying for taxes, insurances and other expenses is r808.42.
<h3>What is the yearly salary?</h3>
The first step is to determine the total fraction used to pay for taxes, insurances and other expenses:
1/2 + 1/16 + 5/6
(48 + 6 + 80) / 96 = 134 / 96= 1 19/48
Now subtract 1 19/48 from 1
1 19/48 - 1 = 19/48
Finally, divide 19/48 by 320
320 x 48/19 = r808.42
To learn more about the division of fractions, please check: brainly.com/question/25779356
Answer:
Length of the minor arc AB = 5.27777777778 cm
Step-by-step explanation:
Here you would require a simple proportionality.
The ratio of the degree of the minor arc (95 degrees) over the total, 360 degrees of every circle, comparative to the length of the minor over the circumference (20 cm).
Here we can propose that the length of the minor can be equal to x.
Now let's substitute the known values:
95 / 360 = x / 20
Now cross multiply:
360 * x = 95 * 20 ⇒
360x = 1900 ⇒
x = 5.27777777778 ⇒
length of the minor arc AB = 5.27777777778 cm
Answer:
7/8
Step-by-step explanation: