Use a coordinate plane to create a rectangular park that has one corner at (−412, 312) and a perimeter of 30 units. Label the coordinates of each corner of the park. Then plot points with mixed number coordinates inside the park to represent a swing set, a slide, and a bench. Plot the slide farthest from the x-axis and the bench closest to the x-axis. What are the coordinates of the points you plotted?

Step-by-step explanation:

7x - 7 = 6x + 11

7x - 6x = 11 + 7

x = 18

Solution → x = 18

Answer:

-6.5

Step-by-step explanation:

To evaluate the expression we have to substitute a= -5 and b =2.

0.5a - 2b

= 0.5 * (-5) - 2 *2 , first multiply 0.5 *(-5) and 2*2

= -2.5 - 4, subtract (-2.5) and 4

(you can think at this as (- 2.5) +( - 4) because subtraction is just like adding a negative number )

= -6.5

Answer:

$556

Step-by-step explanation:

$752 - $142 = $610

$610 - $37 = $573

$573 - $172 = $401

$401 + $40 = $441

$441 + $80 = $521

$521 + $35 = $556

Writing checks takes money out so you subtract.

Depositing money means putting in which means you add.

Answer:

Vertical asymptotes: x = -3/2

Horizontal asymptotes: y = 2

Answer:

Hundredth

Step-by-step explanation:

The value of 9 in the number 36.19 is a hundredth

Answer:

I think exactly two coz you can decide to use mitric method or elimination method ( I think)

Answer:

∠ = 66.9°

Step-by-step explanation:

Sin ∠ = opposite/hypotenuse

Sin ∠x = 13.8/15

In the graphing calculator use

[tex]sin^{-1}(13.8/15) = 66.9[/tex]

The angle to the nearest tenth is 66.9 degrees.

In order to determine the angle, the SOCAHTOA notation would be  used. The ladder would form a right-angled triangle. we have the value of the opposite and the hypotenuse. So, sine would be used to determine the value of the angle.

Sine = opposite / hypotenuse

[tex]sine^{-1}[/tex] = 13.8 / 15

= 66.9 degrees

A similar question was answered here: rainly.com/question/25627150

Answer:

x = 5  or   x = 1

Step-by-step explanation:

 x² - 6x + 7 = 0

x² - 6x = -7

x² - 6x + 9 = -7 + 9      1/2 of the x term than square it and add it the both sides.

(x - 3)(x - 3) = 2

( x -3)² = 2

[tex]\sqrt{(x - 3)^2[/tex] = [tex]\sqrt{2}[/tex]

(x -  3) = ± 2

x - 3 = 2  or  x - 3 = -2

x = 5     or  x = 1

5 = x - (-10)

5 = x + 10

5 - 10 = x

-5 = x

______

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Answer:

x=-5

Step-by-step explanation:

Multiply the numbers

5=x-1(-10)

5=x+10

Subtract 10 from both sides of the equation

5=x+10

5-10=x+10-10

Solution

x=-5

Answer:

[tex]\frac{x^3}{y^7}[/tex]

Step-by-step explanation:

Negative exponents are rewritten as:

[tex]x^{-n}=\frac{1}{x^n}[/tex]

Therefore:

[tex]x^3y^{-7}=\frac{x^3}{y^7}[/tex]

I thinks the first multiple choices, look...the one that different other than choices.

Hope it helps, thanks!

Answer:

0 < A < 90

0 < C < 90

Step-by-step explanation:

If B is the right angle of the triangle, then the sum of the other angles, A and C, must equate 90° since all angles in a triangle sum to 180°:

A + C = 90

A and C could both be anything between 0 and 90, but they must satisfy the equation above:

0 < A < 90

0 < C < 90

The cordinate of a car driving at M miles per hour on a graph is ( 1, M)

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

The cordinate of a point Q is represented by

Q( a, b) where a is the cordinate on x axis and b is the cordinate on y axis.

For example is a point B is located on a plane as ;

B( 2,3) , the 2 is the value on x axis and 3 is the value on y axis.

Therefore, For a speed of a car of M miles in 1hr, then

Speed = distance /time

This means on the graph , M will be on y axis and 1 hrs will be on x axis.

Therefore the cordinate of the speed of the car is

( 1, M)

learn more about coordinates from

https://brainly.com/question/17206319

#SPJ1

Answer:

yes ASA

Step-by-step explanation:

Answer:

C, any real number

Step-by-step explanation:

-3(4z + 2) < -6(2z - 6)

(-12z - 6) < (-12z + 36)

We can remove -12z from both sides.

-6 < 36

Answer:

30) C

Step-by-step explanation:

Answer:

the one under 00 for (x,y)

                                    3,2

                                    6,4

                                   9,6

and then you just plot the points on the graph.

Step-by-step explanation:

Answer: two

Step-by-step explanation:

Answer:

A ratio compares the relative sizes of two quantities

Step-by-step explanation:

The rate of the cell phone company is an illustration of a linear equation

It is worth it if Tamira sends an additional message

The parameters are given as:

Rate = 0.10 per message for up to 100 messages

Rate = 0.08 per message from 101 to 200 messages

Rate = 0.06 per message from 201 to 300 messages

If Tamira sends 200 messages, the total charge is:

[tex]\mathbf{Total = 0.08 * 200}[/tex]

[tex]\mathbf{Total = \$16}[/tex]

If Tamira sends an additional message to make it 201 messages, the total charge is:

[tex]\mathbf{Total = 0.06 * 201}[/tex]

[tex]\mathbf{Total = \$12.06}[/tex]

By comparison.

$12.06 is less than $16

This means that she spends less is she sends 201 messages.

Hence, it is worth it if Tamira sends an additional message

Read more about linear equations at:

https://brainly.com/question/11897796

(i) Since P(t) gives the population of the culture after t seconds, the population after 1 second is

P(1) = 3•1² + 3e¹ + 10 = 13 + 3e ≈ 21.155

In Mathematica, it's convenient to define a function:

P[t_] := 3t^2 + 3E^t + 10

(E is case-sensitive and must be capitalized. Alternatively, you could use Exp[t]. You can also specify that the argument t must be non-negative by entering a condition via P[t_ ;/ t >= 0], but that's not necessary.)

Then just evaluate P[1], or N[P[1]] or N <at symbol> P[1] or P[1] // N to get a numerical result.

(ii) The average rate of change of P(t) over an interval [a, b} is

(P(b) - P(a))/(b - a)

Then the ARoC between t = 2 and t = 6 is

(P(6) - P(2))/(6 - 2) ≈ 321.030

In M,

(P[6] - P[2])/(6 - 2)

and you can also include N just as before.

(iii) You want the instantaneous rate of change of P when t = 60 (since 1 minute = 60 seconds). Differentiate P :

P'(t) = 6t + 3e^t

Evaluate the derivative at t = 60 :

P'(60) = 6•60 + 3e⁶⁰ = 360 + 3e⁶⁰

The approximate value is quite large, so I'll just leave its exact value.

In M, the quickest way would be P'[60], or you can differentiate and replace (via ReplaceAll or /.) t with 60 as in D[P[t], t] /. t -> 60.

Answer:

40

Step-by-step explanation:

Divde the figure into three different rectangles. Find the area of each rectangle and add it all together.

Answer: 90 ounces would equal to 5.625 pounds

Step-by-step explanation:

Answer:

Find the GCD (or HCF) of numerator and denominator. GCD of 47 and 94 is 47.

47 ÷ 4794 ÷ 47.

Reduced fraction: 12. Therefore, 47/94 simplified to lowest terms is 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

You just keep simplifying.

Find the GCD of the numerator and denominator. The GCD of 47 and 94 is 47.

47 divided by 4794 divided by 47

Reduced fraction: 12. So 47/94 simplified is 1/2

Answer:

Step-by-step explanation:xn − xn−1 + xn−1 − xn−2 + ··· + x2 − x1 + x1 − x0. = xn − x0. = |I|. Suppose that f : [a, b] → R is a bounded function on the compact interval.

Answer:

y=-35

Step-by-step explanation:

The relationship between the values of x and y is multiplying by -5.

Therefore, when x equals 7, y is -35.

Just a splendiferous teen,

who listens to "Fight Song,"

stay salty...

Answer:

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Hey there!

-42 + w = 5

w - 42 = 5

ADD 42 to BOTH SIDES

w - 42 + 42 = 5 + 42

CANCEL out: -42 + 42 because it gives you 0

KEEP: 5 + 42 because it helps you solve for the w-value

NEW EQUATION: w = 5 + 42

SIMPLIFY IT!

w = 47

Therefore, your answer is: w = 47

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

(-3,1)

Step-by-step explanation:

Hope this helps:)

9514 1404 393

Answer:

  (-3 1)

Step-by-step explanation:

The x-intercepts of the function are the values of x that make the factors zero: x = -2, x = -4. The x-coordinate of the vertex is halfway between these values:

  x = (-2 +(-4))/2 = -6/2 = -3

The y-coordinate of the vertex is the function value at that x-coordinate:

  y = -(-3+2)(-3+4) = -(-1)(1) = 1

The coordinates of the vertex of the graph are (-3, 1).

Answer:

For 30. the answer is D. For 31 the answer is B

Step-by-step explanation: