Answer:
8
Step-by-step explanation:
Find the LCD of the two fractions, which is six
3 = 3
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5 + 3 = 8
The next step is to reduce:
8 = 8
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Have a great summer :)
The answer in an improper fraction is
47/36
As a mixed number, it is 1 11/36
Hope you become an expert at this soon :)
Answer:
Part 1) The perimeter is
Part 2) The diagonal is
Step-by-step explanation:
<u><em>The question in English is</em></u>
You have a rectangle whose base is twice the height and its area is 12
square centimeters. Calculate the perimeter of the rectangle and its diagonal
step 1
Find the dimensions of rectangle
we know that
The area of rectangle is equal to
so
----> equation A
The base is twice the height
so
----> equation B
substitute equation B in equation A
Find the value of b
step 2
Find the perimeter of rectangle
The perimeter is given by
substitute
step 3
Find the diagonal of rectangle
Applying the Pythagorean Theorem
substitute
The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to . This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).
Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.
Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).