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2 years ago

7

Can dilations be used to form scale copies of a figure?

1 answer:

Inessa [10]2 years ago

3 0

Answer:

sometimes

Step-by-step explanation:

There are several ways that dilation is used in real life. Here are several:

In graphic design. I actually do some graphic design, and I use dilation a lot. It is common to dilate photos to fit the space that you want it to fit.

In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence.

In architecture. It is normal for architects to make a prototype of their design or building. In order to make the building true to the prototype, they must dilate the scale and measurements.

In the doctor's office. Dilation is used in eye exams so that the eye doctor can view the patient's eye better. After a while it will slowly reduce in size and return back to normal.

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Write an equation for an ellipse centered at the origin, which has foci at (0,\pm\sqrt{63})(0,± 63 )left parenthesis, 0, comma

steposvetlana [31]

Answer:

$\frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }$

Step-by-step explanation:

Since the foci are at(0,±c) = (0,±63) and vertices (0,±a) = (0,±91), the major axis is the y- axis. So, we have the equation in the form (with center at the origin) $\frac{x^{2} }{b^{2} } + \frac{y^{2} }{a^{2} }$ .

We find the co-vertices b from b = ±√(a² - c²) where a = 91 and c = 63

b = ±√(a² - c²)

= ±√(91² - 63²)

= ±√(8281 - 3969)

= ±√4312

= ±14√22

So the equation is

$\frac{x^{2} }{(14\sqrt{22}) ^{2} } + \frac{y^{2} }{91^{2} } = \frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }$

8 0

3 years ago

The states C and D spend a total of $54.6 million for tourism. The state C spends $2 million more than the state D. Find the a

Roman55 [17]

State C spent $28.3 million and State D spent $26.3 million.

Step-by-step explanation:

Total spent for tourism = $54.6 million

Let,

The amount spent by State C = x

The amount spent by State D = y

According to given statement;

x+y = 54.6 Eqn 1

x=y+2 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y+2)+y-54.6\\y+2+y=54.6\\2y=54.6-2\\2y=52.6\\$

Dividing both sides by 2

$\frac{2y}{2}=\frac{52.6}{2}\\y=26.3$

Putting y=26.3 in Eqn 2

$x=26.3+2\\x=28.3\\$

State C spent $28.3 million and State D spent $26.3 million.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

Graph the piecewise function.

dmitriy555 [2]

I think the graph below is correct.

4 0

3 years ago

What would be the coordinates of Alif A(2, 4) was rotated 90 degrees clockwise? A-24) ,Α' (-4, 2) ,A(-2, -4) ,Α(-4, 2) Α(2, -4)

Marta_Voda [28]

The rule for rotation 90 degrees clockwise is (x,y)->(y,-x).
So your answer will be:
A’(4,-2)

3 0

3 years ago

22 has how many 2/7s in it?<br><br> please explain how you got your answer.<br> thank you :]

Gnom [1K]

Divide 22 by 2 sevenths; 22 / (2/7) = 77

3 0

3 years ago

Read 2 more answers