oint Q is plotted on the coordinate grid. Point P is at (40, −20). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q? (5 points) On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 10, negative 20. Group of answer choices Point R is at (−10, −10), a distance of 30 units from point Q Point R is at (−10, −30), a distance of 50 units from point Q Point R is at (−10, 30), a distance of 50 units from point Q Point R is at (−10, 10), a distance of 30 units from point Q

Answer:

3 feet wide and 9 feet long.

Step-by-step explanation:

The classroom wall has an area of .

The fire code requirements allow a bulletin board with an area of at most 30% of . This means that the maximum area of the bulletin board is

Let L and W be the length and wide of the bulletin board.  

If the length of the board is three times as long as the width, then L=3W, and the area of the board is

For the largest board we have,

So, the largest bulletin board that meets the fire code is 3 ft. wide and 9 ft. long.

Height of the archway 5 feet from the center is required.

The height of the archway 5 feet away from the center is 12.757 feet.

Semi-major axis =

Semi-minor axis =

The formula for ellipse is

At 10 feet is the width of the truck.

The truck is passing through the center so the

Now

So, the height of the archway 5 feet away from the center is 12.757 feet.

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Figure is missing, so i have attached it.

Answer:

it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Step-by-step explanation:

The standard form of equation of an ellipse is;

x²/a² + y²/b² = 1

From the figure in the image attached, we can see that the radius is; a = 52/2 = 26 ft

While the value of b = 13 ft

Thus;

x²/26² + y²/13² = 1

x²/676 + y²/169 = 1

We want to find the height of the archway of the bridge 5 feet from the center.

Thus, we will plug in 5 for x to get;

5²/676 + y²/169 = 1

(25/676) + (y²/169) = 1

Multiply through by 676 to get;

25 + 4y² = 676

4y² = 676 - 25

y² = 651/4

y² = 162.75

y = 12.76 ft

Thus height of the truck is 12 ft and so it will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately 12.76 ft

Answer:

  see the attachment

Step-by-step explanation:

You can find the inverse by swapping the variables and solving for y.

  y = f(x) . . . . . original function

  x = f(y) . . . . . variables swapped

  x = 2y +1

  x -1 = 2y . . . subtract 1

  (x-1)/2 = y . . . divide by 2

  y = (1/2)x -1/2 . . . expand

If the inverse function is named h(x), then it is ...

  h(x) = x/2 -1/2

Answer:

Option 1.

Step-by-step explanation:

x = 15

since the figures are similar then the ratios of corresponding sides are equal

= ( cross- multiply )

8x = 6 × 20 = 120 ( divide both sides by 8 )

x = 15

Answer:

increases

Step-by-step explanation:

Since the lines goes up as the variable F increases( F is the horizontal variable), C will increase

Answer:

The line increases because u can obviously see the line going up...

Step-by-step explanation:

Answer:

102

75%

25%

Step-by-step explanation:

In a box plot,

There are 5 values:

Min (38)

Q1 (72)

Q2 (88)

Q3 (96)

Max (102)

Between 2 consecutive quartiles, there's 25% data

Above 72 is ¾ data

¾ × 100 = 75%

Between 88 and 96, is ¼ data

¼ × 100 = 25%