Overclocked Game Design is developing a new video game and wants to determine how large the rectangular map that constitutes the game world will be. They want the width of the map to be x miles and the length to be x+4 miles. Write an equation to represent the area A of the map.

- Select the equation that represents the area of the map in terms of x.
A)
A=x2


B)
A=2x+4


C)
A=4x2


D)
A=x(x+4)

Answer:

The area of the parallelogram is;

32 square units

Step-by-step explanation:

The given parameters are;

The coordinates of the parallelogram RSTU = R(-4, 4), S(2, 6), T(6, 2), and U(0, 0)

We note that the area of a parallelogram = Base length × Height

From the drawing of the parallelogram RSTU, we have;

The base length = The length of [tex]\overline {TU}[/tex] = The length of [tex]\overline {SR}[/tex] = √((2 - (-4))² + (6 - 4)²) = 2·√10

The height of a parallelogram is perpendicular to its base length = The line [tex]\overline {VT}[/tex]

∴ Where, the slope of the base length = m, the slope of the height = -1/m

The slope, 'm' of [tex]\overline {SR}[/tex] = (6 - 4)/(2 - (-4)) = 1/3

Therefore, the slope of the height = -1/(1/3) = -3

We note that a point on the height is the point 'T', therefore, the equation of the line in point and slope form is therefore;

y - 0 = -3·(x - 0)

∴ y = -3·x

Therefore, the coordinates of the point 'V' is given by the simultaneous solution of the equations of [tex]\overline {SR}[/tex] and [tex]\overline {VT}[/tex]

The equation of the line [tex]\overline {SR}[/tex] in point and slope form from the point 'R' and the slope 'm = 1/3' is given as follows;

y - 4 = (1/3) × (x - (-4)) = (1/3) × (x + 4)

y = x/3 + 4/3 + 4 = x/3 + 16/3

y = x/3 + 16/3

We then have the coordinate at the point 'V' (x, y) is given as follows;

-3·x = x/3 + 16/3

-9·x = x + 16

-10·x = 16

x = -16/10 = -1.6

x = -1.6

∴ y = -3·x = -3 × -1.6 = -4.8

y = 4.8

The coordinate at the point, V = (-1.6, 4.8)

The length of the line [tex]\overline {VT}[/tex] = The height of the parallelogram = √((-1.6 - 0)² + (4.8 - 0)²) = 8/5·√10

The height of the parallelogram = 8/5·√10

The area of the parallelogram, A = Base length × Height

∴ A = 2·√(10) × 8/5·√(10) = (16/5) × 10 = 32

The area of the parallelogram, A =  32 square units.

Answer:

Im pretty sure its 32

Step-by-step explanation:

Answer:

1/2, 2/4, and 5/10 in ratio terms 1 : 2, 2 : 4, and 5 : 10

Answer:

Step-by-step explanation:

11 - 6 = 5  ,   16 - 11 = 5  ,  21 - 16 = 5

So, it's atithmetic formula with common difference os 5

[tex]a_n = a_1+d(n-1)\\\\a_1=6\\d=5\\\\a_n=6+5(n-1)\\\\a_n=6 +5n-5\\\\a_n = 5n+1[/tex]

Answer:

I’m guessing 108 or 165

Step-by-step explanation:

because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry

Answer: 1 inch:1 feet

Step-by-step explanation:

Since we are informed that the scale drawing of an American flag is 5 inches long and 3 inches tall and the actual flag is 3 feet tall.

To calculate the scale of the drawing, we should note that the height of the drawing is 3 inches tall while the height of the actual flag is 3 feet tall. It simply means that (3/3 = 1 inch represents 1 feet

Answer:

multiply them together

Step-by-step explanation:

Answer:

The answer is 5 cups!

Step-by-step explanation:

since 1 1/3 multiplied by 3 3/4 is 5! <3

Answer:

$975

Step-by-step explanation:

Ok 900 * .03  is 27

27+ 900 is 927

$927

Step-by-step explanation:

a tv=900

100+3=103

103×900=92700

92700÷100

=927

Answer:

-2.4

Step-by-step explanation:

Given data

We have the expression before us as

−4.5 + p6= −18.9

Collect like terms

p6= −18.9+4.5

p6= -14.4

Divide both sides by 6

p= -14.4/6

p=-2.4

Hence the value of p= -2.4

Answer:

That one answer you see below is wrong

Step-by-step explanation:

Thats it

Answer: (0,-4)

explanation: write in vertex form and use this form to find the vertex ( h , k )

Answer:

The second choice is correct

Step-by-step explanation:

Here, we want to get the correct statement

As can be seen, while 2 is the angle at the circumference, 1 is the angle at the center

Mathematically, we know that angle at the center is two times the angle at the circumference

Thus,

m1 = 1/2 (m2)

or m2 = 2 * m1

Answer:

plz mark me as brainliest. :) (use quill bot for paraphrasing!)

Step-by-step explanation:

I applied proportional reasoning as I worked through these problems by using this reasoning to answer all the questions.

Proportional reasoning can be applied by using formal operational reasoning. There are strategies that teachers can use to help pupils apply proportional reasoning correctly.

According to Piaget's model of mental development, "formal operational reasoning," which is learned in the later phases of intellectual development, includes arguments based upon relations of proportionality. There are strategies that teachers can use to help pupils apply proportional reasoning correctly.

Finding missing values is only one aspect of proportional reasoning; it also serves as a lens through which to solve problems and builds crucial groundwork for mathematical thinking. Proportional reasoning can be applied by using formal operational reasoning.

Therefore, proportional reasoning can be applied by using formal operational reasoning.

To know more about proportional reasoning, here:

https://brainly.com/question/28001172

#SPJ3

Answer:

no I didn't but why ask ?

Step-by-step explanation:

brainiest pls

D. 3

The absolute value is always even.

angle 1 = 81°

angle 2 = 99°

angle 3 = 81°

angle 4 = 99°

angle 5 = 81°

angle 6 = 99°

angle 7 = 81°

Answer:

1/3y - 7

Step-by-step explanation:

Add the like terms

-3 + (-4) = -7

     and

2/3y + (-1/3y) = 1/3y

Hope this helps :)

Answer:

y= 1/3

Step-by-step explanation:

-3 + [tex]\frac{2}{3y}[/tex] − 4 −[tex]\frac{1}{3y}[/tex]

= -9y +2 - 4y - 1

13y= 1

y= 1/3

Answer:

(5,-4)

Step-by-step explanation:

Quadrant one is positive quadrant two is negative positive quadrant three is negative Quadrant four is positive negative. Therefore, the coordinates of the new point are (5,-4)

Answer:

a₁₃ = - 27x - 41

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3x + 7

d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)

                 = - 5x + 3 + 3x - 7

                 = - 2x - 4

Then

a₁₃ = - 3x + 7 + 12(- 2x - 4)

     = - 3x + 7 - 24x - 48

     = - 27x - 41

Answer:

The answer is 2/361 or in decimal its approximately 0.00554017.

Step-by-step explanation:

Hope this helps

Answer:

the second steps was wrong.

Step-by-step explanation:

2x-8+3x+2=4x+10+3x-6

5x-6=7x+4

5x-7x=4+6

-2x=10

x=-5

Answer:

Yep, im pretty sure everything is good, good job!

Step-by-step explanation:

Answer:

Idont know the answer sa susunod nalang

Step-by-step explanation:

area of square=side*side and perimeter of square =4*side...........

now you solve yourself

Answer:

Fard

Step-by-step explanation:

Hehe funi

Answer:b

Step-by-step explanation:

Answer: $128.60

Step-by-step explanation: She uses $64.30 for her savings account, leaving $192.90. 1/3 of $192.90 is also $64.30. The remaining balance is $128.60

Answer:10^2+24^2

Step-by-step explanation:the required expression equivalent to the area of the square A in inches is (10² + 24²).

Answer:

x = 16

Step-by-step explanation:

Let's break it down

Doing ^4/3 is the same as doing 2^4

(8 = 2*2*2. You add an extra 1/3 which means you multiply by 2 again = 2^4)

So let's write the equation

x=16

If my answer is wrong, pls correct me

If you like my answer and explanation, pls mark me as brainliest

-Chetan K