Solve the proportion

The image of the point (-1, 7) under a translation is (0, 11). Find the coordinates of the image of the point (1, -4) under the

g100num [7]

If the image of the point (-1,7) under a translation be (0,11) then the coordinates of the image of the point (1,-4) under the same translation is (2,0).

Given that the image of the point (-1, 7) under a translation is (0, 11).

We are required to find the coordinates of the image of the point (1, -4) under the same translation.

Translation basically means the displacement of a figure or a shape from one place to another. In translation figure can move upward, downward, right, left or anywhere in the coordinate system.

The point (-1,7) after translation changes into (0,11).

X coordinate will change by adding 1 to it and Y coordinate will change by adding 4. Now the point (1,-4) will change to (2,0) after adding 1 to 1 and 4 to -4.

Hence if the image of the point (-1,7) under a translation be (0,11) then the coordinates of the image of the point (1,-4) under the same translation is (2,0).

Learn more about translation at brainly.com/question/12861087

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6 0

2 years ago

What is the surface area of this prism?

Zigmanuir [339]

Let's find the area of each shape that makes up the prism. Let's first start with the triangles.

There are two identical triangles on both ends of the prisms. They have a height of 12 and a base 18. Let's find the area of both of the triangles.
12×18=216
216 is the area of both triangles. Each triangle has an area of 108 though.
Let's find the area of the two rectangles.

There are two identical rectangles that are 30 m by 15 m. Let's find the area of both.
30×15=450×2=900
So, the area of both rectangles together is 900.
Let's find the area of the rectangle that acts as the base in the picture.

There's only one and it's 30 m by 18 m.
30×18=540
Let's add everything together.

540+900+216
1440+216
1656

So, the surface area is 1656 m².

7 0

3 years ago

Lucy was running a 10 mile race and the graph represents her running pace for the race. If the x-axis represents miles ran and t

Ostrovityanka [42]

Answer:

C

Step-by-step explanation:

The function multiplies by 8 so 6 would be 48 and 10 would be 80.

Have a great day!

4 0

3 years ago

What is the area of a triangle with vertices at (-3 3) (-3,2) and (1,2)?

d1i1m1o1n [39]

This is a right triangle, so first find the distance between the two legs...

Points where the numbers are the same indicate a point that is on the same axis as the other

(-3, 3) and (-3, 2) have a distance of 1

(-3,2) and (1,2) have a distance of 4

The area formula for a triangle is 1/2bh and in this case 1/2(1)(4) = 2

The area is 2

6 0

3 years ago

jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i

FrozenT [24]

Answer:

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is 2(x +y) = 80

x + y =40

y = 40 -x

now the area of the rectangle A = length X width

A = x y

substitute 'y' value in above A = x (40 - x)

A = 40 x - x^2 .....(1)

Step :2

now differentiating equation (1) with respective to 'x'

$\frac{dA}{dx} = 40 -2x$ ........(2)

Find the dimensions

$\frac{dA}{dx} = 0$

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

Step 3:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

$\frac{d^2A}{dx^2} = -2$

Now the maximum area A = x y at x =20 and y=20

A = 20 X 20 = 400

Conclusion:-

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

verification:-

The perimeter = 2(x +y) =80

2(20 +20) =80

2(40) =80

80 =80

8 0

3 years ago