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kondor19780726 [428]

3 years ago

12

mary ann is building a fence around the outer edge of a rectangular garden plot that measures 25 feet by 45 feet. She will set p

ost 5 feet apart. How many post will she need?

1 answer:

Shalnov [3]3 years ago

4 0

Answer:

28

Step-by-step explanation:

find perimeter (25 + 25 + 45 + 45 = 140)

divide your perimeter by 5 (140 ÷ 5 = 28)

therefore you need 28 fence posts

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TEA [102]

Answer: sometimes

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2 years ago

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The current of a river is 4 miles per hour. A boat travels to a point 30 miles upstream and back in 4 hours. What is the speed o

Kobotan [32]

If it took 4 miles per hour you multiply that twice cuss its traveling back then forth so you repeat the same process 30 miles times 2 which is 60 hope this helps.

5 0

3 years ago

A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points

igomit [66]

Answer:

4

Step-by-step explanation:

The distance from B to C is the same as the distance from A to D. Points B and C will both have the same x-value, as do points A and D. Points B and C will have the same difference in y-values (2 -(-2) = 4) that points A and D have.

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3 years ago

I BEG YOU I WILL DO ANYTHING HELP algebraically solve the following system of equations. Show all your work

sertanlavr [38]

<h2>Answers:</h2>

Solving for x on the question - <em>2x + 3y = 32</em> |

Answer : x = $\frac{-3}{2}$ ⁻y + 16

Solving for y on the question - <em>2x + 3y = 32</em> |

Answer : y = $\frac{-2}{3}$ x + $\frac{32}{3}$

<h3></h3>

Solving for x on question - 5x - 4y = -81 |

Answer : x = $\frac{4}{5}$ y + $\frac{-81}{5}$

Solving for y on question - 5x - 4y = -81 |

Answer : y = $\frac{-5}{4}$ x + $\frac{81}{4}$

<h2>Step-by-step explanation:</h2>

<em>(Solving for x on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

$\frac{2x}{2}$ = $\frac{-3y+32}{2}$

<u>x = </u> $\frac{-3}{2}$ <u>⁻y + 16</u><u> </u>

<em>(Solving for y on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

$\frac{3y}{3}$ = $\frac{-2x+32}{3}$

<u>y = </u> $\frac{-2}{3}$ <u>x + </u> $\frac{32}{3}$ <u> </u>

<em>(Solving for x on question - 5x - 4y = -81)</em>

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

5x = 4y − 81

Step 2: Divide both sides by 5.

$\frac{5x}{5}$ = $\frac{4y-81}{5}$

<u>x = </u> $\frac{4}{5}$ <u>y + </u> $\frac{-81}{5}$ <u> </u>

<em>(Solving for y on question - 5x - 4y = -81 )</em>

5x − 4y = −81

Step 1: Add -5x to both sides.

5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

$\frac{-4y}{-4}$ = $\frac{-5x-81}{-4}$

y = $\frac{-5}{4}$ x + $\frac{81}{4}$

5 0

3 years ago

Using the method of completing the square, put each circle into the form

tatiyna

Answer:

Standard form: $(x-\frac{1}{2})^2 + (y-0)^2 = 15$

Center: $(\frac{1}{2}, 0)$

Radius: $r =\sqrt{15}$

Step-by-step explanation:

The equation of a circle in the standard form is

$(x-h)^{2} + (y-k)^{2} = r^{2}$

Where the point (h, k) is the center of the circle

To transform this equation $4x^{2} -4x + 4y^{2} - 59 = 0$ this equation in the standard form we use the method of square.

First, we group similar variables

$(4x^{2} -4x) + (4y^{2}) - 59 = 0$

Divide both sides of equality by 4

$(x^{2} -x) + (y^{2}) - 14.75 = 0$

Now we complete square for variable x.

Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:

$b =-1\\\\\frac{b}{2}= \frac{-1}{2}= -\frac{1}{2}\\\\(\frac{b}{2})^2= (-\frac{1}{2})^2 = \frac{1}{4}$

Now add $(\frac{b}{2})^2$ on both sides of the equality

$(x^{2} -x +\frac{1}{4}) + (y^{2}) - 14.75 = (\frac{1}{4})$

Factor the expression and simplify the independent terms

$(x-\frac{1}{2})^2 + (y^{2}) = 15$

$(x-\frac{1}{2})^2 + (y-0)^2 = 15$

Then

$h =\frac{1}{2}\\\\k=0$

and the center is $(\frac{1}{2}, 0)$

radius $r =\sqrt{15}$

3 0

3 years ago