Answer:

Step-by-step explanation:
The formula that is used to calculate the area of a rectangle is:

Where "l" is the lenght and "w" is the width.
You know that the area of that rectangle is:

And, according to the exercise, its lenght is 7 more than its width; then:

Then, you can make the corresponding substitution into the formula
:

Simplify:

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.
Then, you get:

The width of the rectangle is the positive value:

Then, the lenght is:

The complete question in the attached figure
we know that
1) <span>The triangles that are formed in the hexagon by joining all the vertices with the center of the hexagon are all equilateral and are equal in size
therefore
the radius of the circle is equals to the length side of the regular hexagon
FE=BP--------> FE=6 cm
the answer is FE=6 cm </span>
Answer:
{2, 6}
Step-by-step explanation:
w/2w-3=4/w is ambiguous. Did you mean
w 4
---------- = ------ ? If so, please enclose "2w - 3" inside parentheses.
2w - 3 w
Cross multiplying, we get w² = 8w - 12.
Putting this into standard form, we get:
w² - 8w + 12 = 0, which factors into (w - 2)(w - 6) = 0.
The solutions are found by setting each factor = 0 separately and solving the resulting equations for w: {2, 6}.
If you would like to evaluate 6 * [5 * (3 - 9) - 1] + 2 / 7 * (8 - 2) + 4, you can calculate this using the following steps:
6 * [5 * (3 - 9) - 1] + 2 / 7 * (8 - 2) + 4 = 6 * [5 * (-6) - 1] + 2/7 * 6 + 4 = 6 * [- 30 - 1] + 12/7 + 4 = 6 * [- 31] + 12/7 + 4 = - 186 + 12/7 + 4 = - 182 + 12/7 = - 1274/7 + 12/7 = - 1262/7
The correct result would be - 1262/7.
Answer:
It represents a function because it consists of x-intercept and y-intercept hence can be plotted.