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3241004551 [841]
3 years ago
8

A table is 3 feet wide. The length of the table can be adjusted as needed. You need at least 24 square feet of space on the tabl

e. Write and solve an inequality to represent the minimum length the table should have.
Mathematics
1 answer:
evablogger [386]3 years ago
6 0
If the sides are 3 each and the square has to be at least 24 the sides are 9 each. So 3+3+9+9 =24
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Step-by-step:

It takes him 1.4 minutes to read one page.

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What shows how many molecules there are of a chemical formula? ​
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Which function describes the arithmetic sequence shown?
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2 years ago
Prove algebraically that the straight line with equation x =2y+5 is a tangent to the circle with equation x ² +y ²
mrs_skeptik [129]

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

<h3>What is a circle?</h3>

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

x = 2y + 5 ...1

x² + y² = 5 ...2

If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.

Then from equations 1 and 2, we have

               (2y + 5)² + y² = 5

4y² + 25 + 20y + y² - 5 = 0

            5y² + 20y + 20 = 0

    5y² + 10y + 10y + 20 = 0

     5y (y + 2) + 10(y + 2) = 0

              (5y + 10)(y + 2) = 0

                                    y = -2, -2

Then the value of y is unique then the value of x will be unique.

The value of x will be

x = 2(-2) + 5

x = -4 + 5

x = 1

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

More about the circle link is given below.

brainly.com/question/11833983

#SPJ1

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