All categories

3 years ago

DO,-2(x, y)(3, 5). The point (x, y) is

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

8 0

Answer:

The point (x,y) is $(\dfrac{-3}{2},\dfrac{-5}{2})$ .

Step-by-step explanation:

We are given that,

$D_{0,-2}(x,y)=(3,5)$

That is,

<h3><em>The image of the point (x,y) after dilation with center as the origin and scale factor -2 is (3,5).</em></h3>

So, we get,

$\dfrac{3}{x}=-2\\\\x=\dfrac{-3}{2}$

$\dfrac{5}{y}=-2\\\\x=\dfrac{-5}{2}$

Thus, the point (x,y) is $(\dfrac{-3}{2},\dfrac{-5}{2})$ .

irina1246 [14]3 years ago

7 0

I believe it's (-6, -10) I'm pretty sure..

You might be interested in

There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of

Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

$AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta$ (1)

Where:

$AC$ - The distance from A to C, measured in miles.

$AB$ - The distance from A to B, measured in miles.

$BC$ - The distance from B to C, measured in miles.

$\theta$ - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

$AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta$

$\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}$

$\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right)$ (2)

If we know that $BC = 7\,mi$ , $AB = 8\,mi$ , $AC = 5\,mi$ , then the bearing from island B to island C:

$\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]$

$\theta \approx 38.213^{\circ}$

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0

2 years ago

The change in the price of a certain brand of cereal from 2010 to 2012 is shown in the table. Year Change (in dollars) 2010 +0.3

TEA [102]

The answer is 240 I think

4 0

3 years ago

Read 3 more answers

A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side

crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

brainly.com/question/15434771

#SPJ1

5 0

2 years ago

A cylinder has a radius of 40 ft and a height of 17 ft. What is the exact surface area of the cylinder?

Georgia [21]

we know that

surface area of the cylinder=2*{area of the base}+perimeter of base*height

area of the base=pi*r²

r=40 ft

Area of base=pi*40²

Area of the base=1600*pi ft²

Perimeter of the base=2*pi*r

Perimeter of the base=2*pi*40

Perimeter of the base=80*pi ft

surface area of the cylinder=2*1600*pi+80*pi*17

surface area=4560*pi ft²

therefore

the answer is the option

4560π ft2

8 0

3 years ago

Read 2 more answers

Solve the inequality.<br><br> y−5≥8

mixas84 [53]

Answer:

Y is less than or equal to 13

Step-by-step explanation:

3 0

3 years ago