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3 years ago

How does a translations 6 units up and 1 unit left change the coordinates of a shape?

Mathematics

1 answer:

garri49 [273]3 years ago

3 0

Answer:

(x-1, y+6)

Step-by-step explanation:

It would change the x by -1 and the y by +6

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-5d + 11 = 8 - 3d<br> -5d + 11 + 3d = 8 - 3d + 3d

rjkz [21]

Answer:

do you have any options to choose from

5 0

3 years ago

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0

4 years ago

Chris rents a car for a total of £375 The rental charges are £150 for the first day and £75 per day after that. For how many day

valkas [14]

Answer:

4 days in total

Step-by-step explanation:

3 0

3 years ago

Jamie says that the expression 6x-2x+4 and 4(x+1) are not equivalent because one expression has a term that is subtracted and th

Sati [7]

Answer:

1. D 2. A 3. Distribute the four in 4(x+1)

Step-by-step explanation:

1. It says that Jamie is saying that they are "not equivalent".

2. You have to use the distributive property to distribute the 4 to x and to the 1.

3. After distributing, compare the two expressions and now see if they are equivalent or not.

8 0

3 years ago

the radius of the base of a cylinder is 7cm and height is 8cm find the volume and surface area of the solid cylinder

Musya8 [376]

Answer:

Volume=1232cm Surface area=660cm

Step-by-step explanation:

Volume=π x r² x t

=22/7 x 7 x 7 x 8

=1232cm

Surface area=2 x π x r x (r+t)

=2 x 22/7 x 7 x (7+8)

=44 x 15

=660cm

SORRY IF I AM WRONG, I'M TRYING MY BEST

8 0

2 years ago