You are installing a fence around your yard. In the figure,
your yard is rectangle ABCD. Each unit in the coordinate
plane represents 10 feet.
a. What is the perimeter of your entire yard
b. You consider only installing a fence around your backyard represented by rectangle ABEF what is the perimeter of your backyard?
c. The cost of fencing is $50 for each 6 foot section how much do you say by only installing a fence in the backyard?

1 inch= 10 miles

1 inch * 1 inch = 1 in^2 = 10 miles * 10 miles = 100 miles^2

so

1 in^2 is 100 mi^

Answer:

(4, 4)

Step-by-step explanation:

A (5,7) and B (3,1)

To find the midpoint of a line segment, use this formula.

[tex]midpoint =(\frac{x^1+x^2}{2} ,\frac{y^1+y^2}{2} )[/tex]

(x1, y1) = coordinates of first point

(x^2, x^2) = coordinates of second point.

Basically, you add the coordinates x^1 and x^2, then divide the sum by 2. That would be your first coordinate.

Next, you add y^1 and y^2, then divide the sum by 2. That would be your second coordinate.

[tex]midpoint-(\frac{5+3}{2} ,\frac{7+1}{2})[/tex]

[tex]midpoint = (4, 4)[/tex]

Therefore, the midpoint of segment AB is (4,4).

Let me know if you have any further questions.

The midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).

The midpoint formula states that the coordinates of the midpoint between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are given by:

Midpoint = [tex]((x_1 + x_2)/2, (y_1 + y_2)/2)[/tex]

The coordinates of point A are given as (5, 7), and the coordinates of point B are given as (3, 1).

Plugging in the coordinates:

x-coordinate of the midpoint = (5 + 3)/2 = 8/2 = 4

y-coordinate of the midpoint = (7 + 1)/2 = 8/2 = 4

Therefore, the midpoint of segment AB is (4, 4).

Thud, the midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).

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Answer:

[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]

Step-by-step explanation:

[tex]2x ^{2} - x - 8 = 0[/tex]

[tex]x = \frac{ - ( - 1)± \sqrt{( - 1 {)}^{2} } - 4 \times 2 \times ( - 8)}{2 \times 2} [/tex]

[tex]x = \frac{1± \sqrt{1 + 64} }{4} [/tex]

[tex]x = \frac{1± \sqrt{65} }{4} [/tex]

[tex] = x_{1} = \frac{1 - \sqrt{65} }{4} . x_{2} = \frac{1 + \sqrt{65} }{4} [/tex]

Answer:

[tex]x=\frac{-1+-\sqrt{65}}{4}[/tex]

Step-by-step explanation:

Using the quadratic formula,

[tex]x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}\\x=\frac{-1+-\sqrt{-1^{2}+64}}{4}\\x=\frac{1+-\sqrt{65}}{4}\\[/tex]

Answer:

x>1

Step-by-step explanation:

m at h w ay

Answer:

It's a rectangle. So,

Area = Length × Width

Area = 16.4 × 9

Area = 147.6 cm²

Answer:

Each bag costs 0.35 cents

Step-by-step explanation:

divide 9.88 by 28 and that gives you the total for each bag of chips

Answer:

-7/2

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-19-(-12)/-13-(-15)

-7/2

Best of Luck!

Answer:

1) [tex]\frac{x+3}{2x-5}=\frac{3}{2}[/tex]   (x ≠ 2,5)

=> 2(x + 3) = 3(2x - 5)

⇔ 2x + 6 = 6x - 15

⇔ 4x = 6 + 15

⇔ 4x = 21

⇔ x = 5,25

2) [tex]\frac{5y-2}{2y+8}=\frac{5}{6}[/tex] (y ≠ -4)

⇒6( 5y - 2) = 5(2y + 8)

⇔30y - 12 = 10y + 40

⇔ 20y = 52

⇔ y = 2,6

3) the denominator of the rational number is x (x ≠ 0)

because the denominator is greater than the numerator by 6

=> the numerator is x - 6

If the numerator is decreased by 1 and the denominator increased

by 1 , the number obtained is 1/3. so we have:

[tex]\frac{x-7}{x+1}=\frac{1}{3}[/tex]

⇒ 3(x - 7) = x + 1

⇔ 3x - 21 = x + 1

⇔ 2x = 22

⇔ x = 11

with x = 11 => the rational number is 5/11

4) the number we need to find is ab (a ≠ 0)

because Sum of the digits of this number is 8

=> a + b = 8 (*)

When we interchange  the digits , it is found that the resulting new number is less than the  original number by 18, we have:

ab - ba = 18

⇔ 10a + b - (10b + a) = 18

⇔ 9( a - b) = 18

⇔ a - b = 2 (**)

(*)(**) => a + b = 8

             a - b = 2

=> a = 5

    b = 3

=> the original number is 53

5) the present Arjun's age is x (years old)( x, y E N*)

the present Shriya's age is y

because now, Arjun is twice as old as Shriya => x = 2y

Five years ago, his age was three  times Shriya’s age, we have:

=> x - 5 = 3(y - 5)

⇔ x - 5 = 3y - 15

⇔ 3y - x = 10

but x = 2y => y = 10

=> x = 20

so now, Arjun is 20 years old, Shriya is 10 years old

Step-by-step explanation:

Answer:

functional relationship

Step-by-step explanation:

2 goldfish per month

how many in a year

12 months in a year

24 goldfish in one year

Answer:

33

Step-by-step explanation:

The amount of child tickets sold this day is x, when the amount of adult tickets is 4x

5.2x- the money from children, 9*4x=36x- the money from adults,

5.2x+36x= 1359.6

41.2x=1359.6

x=33- the amount of child tickets

Answer:

No solution

Step-by-step explanation:

To solve first you need to isolate the absolute value sign. Do this by subtracting 7 from each side.

Now an expression inside absolute value bars is set to a negative. Since absolute value makes terms and expressions positive, there is no x-value that could make this true. Therefore, there are no solutions.

[tex]\\ \tt\Rrightarrow |3x-8|+7=2[/tex]

[tex]\\ \tt\Rrightarrow |3x-8|=2-7[/tex]

[tex]\\ \tt\Rrightarrow |3x-8|=-5[/tex]

Because of absolute vale there is no solution

Answer:

-66

Step-by-step explanation:

11 × (-6) = -66

9514 1404 393

Answer:

  x -y = -2

Step-by-step explanation:

The coefficients of x and y in the equation of the perpendicular line will be swapped, with one of them negated. That is, the perpendicular line will have the equation ...

  x -y = constant

The value of the constant can be found using the x and y of the given point.

  x -y = 2 -4 = -2

The perpendicular line is ...

  x -y = -2

Answer:

true

Step-by-step explanation:

5(1+2x)= 5 +10x =10x + 5

Answer:

Yes, they are eqivelant.

Step-by-step explanation:

5(1+2x) and 10x+5

The first step is to set them equal to each other, to see if they are equivelent.

5(1+2x) = 10x+5

Distribute the 5 to both terms in the parentheses by multiplying.

5(1) + 5(2x) = 10x +5

5 + 10x = 10x +5

The communative property of addition proves that these are equal.

a18 − a12 = 24 == 24

d == 24

I hope this is correct and helps..

Answer:

x = 37

m∠a = 104°

m∠b = 76

Step-by-step explanation:

Two supplementary angles will add up to 180 degrees. We can create an equation and solve for x.

3x - 7 + 2x + 2 = 180

~Combine like terms

5x - 5 = 180

~Add 5 to both sides

5x = 185

~Divide 5 to both sides

x = 37

~Find the measure of angle A

3(37) - 7

104

~Find the measure of angle B

2(37) + 2

76

Best of Luck!

Answer:

Image result for 44. Consider all rectangles with an area of 182 square feet. Let's Be the length of one side of such a rectangle a) Express the perimeter as a function of b) Use the graphing calculator to find the dimensions of the rectangle that has the least perimeter. What is the least perimeter?

Divide the area of the rectangle by the width in order to find the length of 14 feet. The perimeter is the sum of the side lengths, which in this case is 14 feet + 4 feet +14 feet + 4 feet, or 36 feet.

Answer:

Step-by-step explanation:

41)

[tex]1+2+3+4+...+n=\dfrac{(n+1)*n}{2} \\\\2+4+6+...+2n=2*(1+2+3+4+...+n)=2*\dfrac{(n+1)*n}{2} =(n+1)*n\\\\[/tex]

42)

the square of the sum of the first n natural integers equals the sum of the cubes of these

∠1 and ∠2 are supplementary angles. m∠1 is 4y+7, and m∠2 is 9y+4. Find m∠2.

The sum of supplementary angle is 180°

First, solve for the value of y.

Then, plug and substitute the value y = 13 to find the m∠2.

The measure of angle 2 is 121 degrees.

Given:

[tex]m\angle1=4y+7\\m\angle2=9y+4[/tex]

Recall: Supplementary angles are angles whose sum equals [tex]180^{o}[/tex]

To solve this problem, create an equation to find the value of x:

Thus:

[tex]m\angle1 +m\angle2=180[/tex]

Therefore:

[tex](4y+7)+(9y+4) = 180\\[/tex]

Solve for y:

[tex]4y+7+9y+4 = 180\\\\[/tex]

Add like terms:

[tex]13y+11 = 180\\\\[/tex]

Subtract 11 from both sides

[tex]13y+11 - 11= 180 - 11\\13y = 169[/tex]

Divide both sides by 13

[tex]\frac{13y}{13} = \frac{169}{13} \\y = 13[/tex]

Find the m∠2 by substituting [tex]y = 13[/tex] into [tex]9y +4[/tex]

[tex]m\angle= 9(13)+4\\m\angle = 121^{o}[/tex]

Therefore, m∠2 = 121 degrees.

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Answer:

4

Step-by-step explanation:

Answer:

-$79

Step-by-step explanation:

If i read that correctly, Rylee had -$23 in her account.

Then, she was charged $56, meaning we have to subtract $56 from -$23. When we do -23 - 56, we get -79. Meaning, Rylee now has a balance of -$79.

Answer:

Step-by-step explanation:

The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign:

-$23.50.

Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is

-$23.50 – (-$23.50 × 0.2).

Further simplify the expression by factoring -$23.50 from both terms:

-$23.50 – (-$23.50 × 0.2)

=

-$23.50(1 – 0.2)

=

-$23.50(0.8).

Answer:

To convert the measurements of metric system into another units of metric system we have to either multiply it by 10, 100, 1000, 10000, 100000, etc or divide by 10, 100, 1000, 10000, 100000, etc.

If we have to convert bigger unit into smaller unit then we have to multiply the unit by the multiples of 10, then the decimal point is shifted to right by 1 or 2 or 3 or 4 , etc. places.

For example, 1.2 kg is converted into g so we have to multiply it by 1000, so decimal point is shifted to right by 3 places, i.e.,

1.2 x 1000 = 1200 g

If we have to convert smaller unit into bigger unit then we have to divide the unit by the multiples of 10, then the decimal point is shifted to left by 1 or 2 or 3 or 4 , etc. places.

For example, 12 cm is converted into m so we have to divide it by 100, so decimal point is shifted to left by 2 places, i.e.,

12 / 100 = 0.12 m  

Step-by-step explanation:

Answer:

125 minutes

Step-by-step explanation:

2.5÷ .5 = 5

20× 5 + 25

= 125 min

Answer:

The translation vector can be drawn on the coordinate grid or written as

\vec{v}=\langle a,b\rangle

v

=⟨a,b⟩

. For example, a translation vector that moves a figure

3

3

units right and

2

2

units down can be represented mathematically as

\vec{v}=\langle3,-2\rangle

v

=⟨3,−2⟩

, or graphically as

It doesn’t matter where the vector is positioned in the plane. In this figure, the vector starts at

(1,1)

(1,1)

and ends at

(4,-1)

(4,−1)

. But the initial point and terminal point of the vector are irrelevant. What matters is the length of the vector and the direction in which it points, so all you have to look at is how many units the vector moves in the

y

y

-direction and how many units the vector moves in the

x

x

-direction.

Answer:

STAY SAFE STAY UGLY.

Step-by-step explanation:

BY ELON MUSK

Thinner candle:

y = length of the candle

x = rate it burns at every minute

y = -1/8x + 30

Thicker candle:

y = length of the candle

x = rate it burns at every minute

y = -1/10x + 30

To find the length after 3 hours:

y = -1/8(180) + 30

y = -1/10(180) + 30

Answer:

18

Step-by-step explanation:

Answer:

7(10−[tex]2^{3}[/tex])+ [tex]\frac{8}{2}[/tex]

=18

Step-by-step explanation:

7(10−[tex]2^{3}[/tex])+[tex]\frac{8}{2}[/tex]

=7(10−8)+ [tex]\frac{8}{2}[/tex]  

=(7)(2)+[tex]\frac{8}{2}[/tex]  

=14+[tex]\frac{8}{2}[/tex]  

=14+4

=18