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kvv77 [185]
3 years ago
5

Convert 6 miles to feet. hint: 1 mile is 5280 feet

Mathematics
2 answers:
seropon [69]3 years ago
8 0

Answer:

the answers got deleted because they didn't give an explanation. so, the explanation is: you multiply 5,280 by 6 to get 31,680 ft

Morgarella [4.7K]3 years ago
7 0

Answer:

31680 feet

Step-by-step explanation:

You multiply 5280 nd  and you get 31680...

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X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = -\frac{4}{5}x+\frac{58}{5}

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

          = \frac{10-5}{2+2}

          = \frac{5}{4}

    Let the slope of the tangent which is perpendicular to this line is 'm_{2}'

    Then by the property of perpendicular lines,

          m_{1}\times m_{2}=-1

          \frac{5}{4}\times m_{2}=-1

                 m_{2}=-\frac{4}{5}

   Now the equation of the line passing though (2, 10) having slope m_{2}=-\frac{4}{5}

           y - y' = m_{2}(x-x')

           y - 10 = -\frac{4}{5}(x-2)

           y - 10 = -\frac{4}{5}x+\frac{8}{5}

                  y = -\frac{4}{5}x+\frac{8}{5}+10

                  y = -\frac{4}{5}x+\frac{58}{5}

Therefore, equation of the line will be, y = -\frac{4}{5}x+\frac{58}{5}

7 0
3 years ago
Please help me fast:
Fiesta28 [93]

Answer:

45 − x % ∗ 45 = 38.25

− 45 x /100 = 38.25 − 45

− 45 x /100 = − 6.75

x = 6.75 ∗ 100 /45

= 15

8 0
3 years ago
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Tickets for a play cost $3 for children and $10 for adults. A group of 25 people paid a total of $201 for tickets to the play. H
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Answer: There were 7 children

Step-by-step explanation:

Let's use <em>x </em>to represent the children and <em>y </em>to represent the adults.

We know they combine to make a group of 25 people so x+y=25

We also know that they paid $201 and that there is $3 per child and $10 for adults so 3x+10y=201

I will solve by substitution.

Solve for y in the first equation

x+y=25\\x-x+y=25-x\\y=25-x

Sub in our value for y into the other equation and solve for x

3x+10y=201\\3x+10(25-x)=201

Step 1) Simplify

3x+250-10x=201\\-7x+250=201

Step 2) Subtract 250 from both sides

-7x+250-250=201-250\\-7x=-49

Step 3) Divide both sides by -7

\frac{-7x}{-7} =\frac{-49}{-7}\\x=7

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