The design for a playground is represented on the coordinate ​plane below, where the units are in yards.

​A fence will be built ​around the perimeter of the entire playground.

​How many yards ​of fencing will be needed to build the fence?

Answer:

A: -2

B: -10

Step-by-step explanation:

A: the slope of line b is -2

B: Point: (-6,2)

So x= -6 and y = 2

Putting in slope intercept formula for finding b

y=mx+b

2=(-2)(-6)+b

2= 12 + b

b = 2-12

b= -10

The y-intercept of line b is -10

Answer: C you pay fee fewer upfront cost

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

3+2 = 5

5x2 (Because only half cups)

= 10

Answer:

Step-by-step explanation:

amplitude of oscillation a = 12 / 2 = 6 inches.

time period T = 2 s

b = angular frequency = 2π / T

= 2π / 2

= π

so putting the values in the equation

d = a cos ( b t )

d = 6 cos ( π t )

Answer:

there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25

Step-by-step explanation:

Answer: y=10x+25

y=10(7)+25

=70+25

=$95

Step-by-step explanation:

Answer:

Have them 4 by 5.

Step-by-step explanation:

If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.

For example, (The "o" is a chair)

OOOOO

O

O

O

As you see the the top are the 5 chairs, then side are are the 4 chairs.

Then, you will do the exact same thing  but on the opposite side.

Here is the next example.

OOOOOO

O            O

O            O

O            O

OOOOOO

Basically, arranging the chairs 4x5, it would make a rectangle.

Step-by-step explanation:

BECAUUUUSE ;

[tex]4 \div \frac{1}{5} = 20 \\ \frac{4}{1} \div \frac{1}{5} = 20 \\ \frac{4}{1} \times \frac{5}{1} = 20 \\ \frac{20}{1} = 20[/tex]

Answer:Because the divide sign change to multiplication sign, and when this happens denominator in the right hand side will become numerator,while the formal numerator will become denominator.

Step-by-step explanation:

4 ➗ 1/5

4 x 5/1=20

Answer:107

Step-by-step explanation:

749 ➗ 7=107

Answer:

A.

Step-by-step explanation:

tan x= 6/8

usually tan θ = perpendicular / base

So,

we get perpendicular = 6, base = 8

Now using Pythagorean Theorem to find hypotenuse

hyp² = base² + Perp²

hyp² = 8² + 6²

hyp²= 64 + 36

hyp²=100

Taking sq root on both sides

hypotenuse = 10

Now

sin θ = Perpendicular / Hyp

sin x = 6 / 10

Now

cos θ = base / Hyp

cos x = 8 / 10

Answer:

A line has equation y = ax + b, perpendicular to the line  y = -5x - 4

=> a x (-5) = -1 => a = 1/5.

This line passes (0, 3) => (1/5)*0 + b = 3 => b = 3

=> Equation of this line: y = (1/5)x + 3

Hope this helps!

:)

The equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4  is  y = x/5 + 3.

The general equation of a straight line is -

y = mx + c

Given is a line that passes through (0, 3) and is perpendicular to the

line → y = - 5x - 4

Since the line is perpendicular to the line → y = - 5x - 4. We can write -

m[L] = -1/-5

m[L] = 1/5

Assume that the equation of the line is -

y = m[L]x + c

y = x/5 + c

Since the line passes through the point (0, 3), we can write -

3 = 0 + c

c = 3

The final equation of the line will be -

y = x/5 + 3

Therefore, the equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4  is  y = x/5 + 3.

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Answer$5.22

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

g(x) = 4x² - 3x + 7

g(3) = 4(3)² - 3(3) + 7

g(3) = 4(9) - 9 + 7

g(3) = 36 - 9 + 7

g(3) = 25 + 7

g(3) = 32

Answer:

  [tex]\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}[/tex]

Step-by-step explanation:

The first step is to convert the mixed number to an improper fraction.

  [tex]\dfrac{4\frac{1}{3}}{\left(-\dfrac{5}{6}\right)}=\boxed{\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}}[/tex]

Answer:

it's a

Step-by-step explanation:it's what the guy above me said

Answer:

The amount of water is each balloon should be:

A = 6/20 =0.3 liters

Hope this helps!

:)

Answer:

0.3

Step-by-step explanation:

                                                                 .

Answer:

6 and 8

Step-by-step explanation:

The hypotenuse of a 30°-60°-90° triangle measures 10 inches.

To find the length of one of the legs, we use the idea of Pythagorean Triples.

Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:

Note that in a Pythagorean Triple,

In our given triangle, the Hypotenuse=10 Inches

Consider the Pythagorean Triple 3,4, and 5

Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.

Answer:

4) 64 cubic inches

Step-by-step explanation:

8x8 = 64

Answer:

y=-3x+b

Step-by-step explanation:

Find slope

-1-(-10)/2-5

9/-3

-3 is slope

y=-3x+b

substitute (2,-1)

-1=6+b

b=-7

y=-3x-7

Answer: 136°

Step-by-step explanation:

In this angle relationship, it is a supplementary angles. because the parallel lines are separated by a line, the 2 angles make 180°.

180°=44°+x°

x=136°

Answer:

It is 4

Step-by-step explanation: To find the area you multiply the numbers.

Answer:

65

Step-by-step explanation:

multiply 1/2 and 10 to get 10/2

10/2(9.4+3.6)

divide 10 by 2 to get 5

add 9.4 and 3.6 to get 13

5 X 13

multiply to get 65

Answer:

Step-by-step explanation:

-6x + 6y = -12

6x + 6y = -36

12y = -48

y = -4

3x - 12 = -18

3x = -6

x = -2

(-2, -4)

Answer:

61%

Step-by-step explanation:

First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.

Step-by-step explanation:

wait sorry that was wrong

Answer:

5.2

Step-by-step explanation:

The answer is 5.2 pounds of meat. To find this just divide the number of people by what the information you have about servings. 13/5=2.6(number of sets), then you multiply that by how many pounds are in each set.

Answer:

Yes

Step-by-step explanation:

6z > 15

z > 15/6

z > 2.5

So all numbers greater than 2.5 is in the solution set of the inequality 6z > 15.

Answer:

The correct answer is 11/36

Step-by-step explanation:

The probability that at least one die shows a '5' is 11/36.

The probability of an event is the chance of happening that particular event.

Here, a pair of standard dice are rolled.

Therefore, the total number of combinations of two dice is = 6² = 36.

The case at which one die shows a '5' are: (1, 5); (2, 5); (3, 5); (4, 5); (5, 5); (6,5); (5, 1); (5, 2); (5, 3); (5, 4); (6, 5)

Therefore, the total number of cases at which one die shows a '5' is = 11.

Therefore, the required probability of the given event is

= 11/36

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Answer: (-4,-18)

Step-by-step explanation: If you use desmos you can graph the equation to find the vertex.

The vertex of the graph of function f(x) =  x² + 8x - 2 is (-4, -18)

In a quadratic function, the vertex of the graph refers to the highest or lowest possible outcome of the function. In a graph, the vertex is the highest or lowest point on the parabola,

Given that:

f(x) = x² + 8x - 2

where;

By using the vertex formula to find the x-value;

[tex]\mathbf{x = \dfrac{-b}{2a}}[/tex]

[tex]\mathbf{x = \dfrac{-8}{2(1)}}[/tex]

x = -4

So,

y = (-4)² + 8(-4) - 2

y = 16 -32 -2

y = -18

Therefore, the vertex of the graph of function f(x) =  x² + 8x - 2 is (-4, -18)

Learn more about the vertex of the graph function here:

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Answer:

[tex]\dfrac{40}{42}[/tex]

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

[tex]\dfrac{x}{x+2}[/tex]

If both numerator and denominator are decreased by six, the fraction becomes:

[tex]\dfrac{x-6}{x+2-6}[/tex]

The simplified result is [tex]\dfrac{17}{18}[/tex]

Therefore:

[tex]\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40[/tex]

Substituting x=40 into the initial fraction

[tex]\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}[/tex]

Therefore, the original fraction is [tex]\dfrac{40}{42}[/tex]

Answer:

$ 50

Step-by-step explanation:

Original price = Sale price + discount

= 40 + 25% of 40

= 40 + 0.25 * 40

= 40 + 10

Original price =  $50