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Harrizon [31]
3 years ago
8

What’s the distance between the points! round to the nearest tenth i need to show work please help i’m failing!

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

Answer:

\sqrt{109}

Step-by-step explanation:

using pythagorean theorem

height:3

length=10

a^2+b^2=c^2

a=height=3

b=length=10

9+100=c^2

c=\sqrt{109}

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After triangle ACE is dilated by a factor of 6, it has an area of 180 square inches. What was its area before dilation?
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Answer:

The area of triangle ACE before dilation is:  30 square inches

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

  • If the scale factor > 1, the image is enlarged
  • If the scale factor is between 0 and 1, it gets shrunk
  • If the scale factor = 1, the object and the image are congruent

The length of the image can be determined by multiplying the length of the original point by a certain scale factor.

Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.

Thus, it means the dilated area is 6 times the area before dilation.

Let x be the pre-dilation area

As the dilated area is 6 times the area before dilation, so

6x = 180

divide both sides by 6

6x/6 = 180/6

x = 30 square inches.

Therefore, the area of triangle ACE before dilation is:  30 square inches

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3 years ago
Solve for y. <br> 6 = 2 (y+2)<br><br> y = ___
NeTakaya

y=1!!!!!!!!!!!!!!!!!!!

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2 years ago
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Tim has a large collection of books. The number of paperback books he own is 3 times less than 4 times the amount of hardcover b
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solve the system of equations below by graphing both equations with a pencil and paper what is the solution y=2x-4 y=-x+5
miss Akunina [59]

Answer:

The coordinate of the points on the graph as shown , where                  ( x ,y ) = ( 3 , 2 )

Step-by-step explanation:

Given as :

The two algebraic equation is

y = 2 x - 4   .......A     and  y = - x + 5         ........B

The given two algebraic equation can be solved by putting the one variable to the other equation

Now , put the value of y  from Eq A into the Eq B

I.e 2 x - 4 = - x + 5

or, 2 x + x = 5 + 4

or, 3 x = 9

∴  x = \frac{9}{3}

I.e x = 3

So The value of x = 3

Again,  put the value of x in the equation A

I.e y = 2 x - 4

or, y = 2 × 3 - 4

∴  y = 6 - 4

I.e y = 2

So The value of y = 2

So , The coordinate of points on the graph as ( x , y ) = ( 3 , 2 )

Hence The coordinate of the points on the graph as shown , where               ( x ,y ) = ( 3 , 2 )  Answer

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