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insens350 [35]
3 years ago
14

A storage box can hold 810 cubic feet of sugar. If the box is 9 feet wide and 10 feet long. How deep is ut?

Mathematics
2 answers:
Svetllana [295]3 years ago
5 0
Check the picture below.

Nitella [24]3 years ago
3 0
9*9=81
*
10*10=100
81*100=
8,100 feet deep

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solve square root of 3x plus 1 = 4:

D is correct and results in 3x + 1 = 16; after this we subtract 1 from both sides and end up with 3x = 15, or x = 5.

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How can you find the equation of a line that is parallel/perpendicular to a given line
alexdok [17]

In the Slope-Intercept Form, m is the slope and b is the y-intercept.

<u>Finding The Equation of a Line Parallel to the Given Line:</u> Let the given line be line a and the parallel line be line b.

1) Find the slope of line a.

Example: Line a --> y = 5x + 2. The slope is 5.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of a point located on line b.

Example: The slope is 5 and the point is (2, 3), use the Slope-Intercept Formula, y=mx+b ---> 3 = 5(2) + b. Then you solve for b.

3 = 5(2) + b

3 = 10 + b

3 - 10 = 10 - 10 + b

-7 = b     b=-7

The y-intercept of line b is -7

3) Finally, plugin the slope and the y-intercept into the Slope-Intercept Form.

Example: The slope of line b is 5 and the y-intercept is -7. The equation of line b is y = 5x - 7.


<u>Finding The Equation of a Line Perpendicular to The Given Line:</u> Let the given line be line a and the perpendicular line be line b.

1) Find the opposite reciprocal of the slope of line a.

Example: Line a --> y=5x+2. The slope is 5, to find the opposite reciprocal of the slope you use n --> -\frac{1}{n}. In this case, it would be -\frac{1}{5}. The opposite reciprocal of the slope of line a is -\frac{1}{5}, which would be the slope of line b.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of the point where line a and line b both intersect.

Example: The slope of line b is -\frac{1}{5} and the point is (1, 7), use the Slope-Intercept Formula, y=mx+b ---> 7=-\frac{1}{5}(1) + b. Then you solve for b.

7=-\frac{1}{5}(1) + b

7=-\frac{1}{5} + b

7+\frac{1}{5}=-\frac{1}{5} + \frac{1}{5} + b

7\frac{1}{5} =b     b=7\frac{1}{5}

The y-intercept of line b is 7\frac{1}{5}.

3) Finally, plugin the slope and the y-intercept into the Slope-Intercept Form.

Example: The slope of line b is -\frac{1}{5} and the y-intercept is 7\frac{1}{5}. The equation of line b is y=-\frac{1}{5}x+7\frac{1}{5}.

4 0
3 years ago
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