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3 years ago

If K(3, -7) is rotated 270°, what will be the coordinates of its image?

Mathematics

2 answers:

Leya [2.2K]3 years ago

7 0

Answer: <em>it will actually be -3, 7</em>

Julli [10]3 years ago

6 0

Answer:

The correct answer is: (-7,-3)

Step-by-step explanation:

Hope this helps! :)

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Have a nice day!

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

3 years ago

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w

faltersainse [42]

40 x 5280 = 211200 feet per hour

211200 / 3600 = 58.666 = 59 feet per second

5 0

3 years ago

John bought a video game that was 20% off. The game was originally $30. How much money DID HE SAVE by getting it on sale?

geniusboy [140]

Answer:

Step-by-step explanation:

when you multiply $30 by 20% you get 6. 30-6= $24 after the 20% is taken off, but he saved $6.

7 0

3 years ago

Sarah is a cliff driver she starts 75 feet above the water dives and dives to 20 feet below the water jada also starts at 75 fee

Murljashka [212]

Answer:

sarah=55ft Jada=58ft

Step-by-step explanation:

7 0

3 years ago

What pair of factors will add together and give you 0

lbvjy [14]

Answer:

the type of factor would be 4,4 I just figured it out

Step-by-step explanation:

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3 years ago