the sears tower in chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual sears tower?

Answers

Answer 1
Answer: 24 : 1450
model : sears tower
I hope I helped! ;)

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Solve 3x^2 = 6x by rewriting the equation. Show your reasoning.

Answers

Solution of the given equation3x^(2)=6x is x=2 and 0

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given,

3x^(2) =6x

Rewrite the equation

3x^(2) -6x=0

Solve the equation

3x^(2) -6x=0\n3(x^(2) -2x)=0\nx^(2) -2x=0

Therefore the roots are

x=2 and 0

Hence, solution of the given equation3x^(2) =6x is x= 2 and 0

Learn more about equation here

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Which set of ordered pairs does not represent a function?O{(-2,5), (0, -9), (8,-2), (7,4)}
O{(-3,4), (-5,4), (7, -3), (2, -9)}
O {(2, -9), (-5, -1), (-6, -3), (-5,7)}
O {(1, -8), (-9,-2), (-4,0), (4, -8)}

Answers

Step-by-step explanation:

{(2, -9), (-5, -1), (-6, -3), (-5,7)}

-5 appears twice ( this is not allowed for the function)

What Is The Value Of n So That The Expression X² + 12 x + n Is A Perfect Square Trinomial ?
A . 36
B . 36
C . 72
D . 144

Answers

The answer is 36 like (x+6)(x+6)

XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'. If the slope and length of XY are m and l respectively, what is the slope of X'Y'?

Answers

Answer:

The slope of X'Y' is m.

Step-by-step explanation:

It is given that XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'.

Let the slope and length of XY are m and l respectively.

The dilation shows the enlargement and comparison of the figure. If the scale factor is more than 1 , then it shows enlargement. If the scale factor is more than 0 but less than 1 , then it shows compression.

The corresponding sides of image and preimage are parallel to each other. Since the slope of parallel line are equal therefore the slope of XY and X'Y' are equal, i.e., m.

The length of the image is k times of the length of preimage. The length of X'Y' is

X'Y'=1.3* XY=1.3l

Therefore the slope of X'Y' is m.

The XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the X'Y'. So the length of X'Y' is 1.3 times of origin but the slope is the same. The slope is m.

What is 2.9% of 1000

Answers


' 2.9% ' means ' 0.029 '

' of ' means ' times '

' 2.9% of 1,000 ' means ' 0.029 x 1,000 '

   0.029 x 1,000 = 29


1000 x 2.9 %= 29. This is how my math teacher told me how to do it.

Y = x - 2 and y=-2x +7

Answers

\huge\boxed{\boxed{\bold{(3, 1)}}}

\hrulefill

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of y from the second equation and substitute it into the first:

-2x+7=x-2

Add 2x to both sides of the new equation:

7=3x-2

Now add 2 to both sides of the equation:

9=3x

Divide both sides by 3:

\boxed{3}=x

Now let's solve for y by substituting the known value of x into the first equation:

y=3-2

Simplify using subtraction:

y=\boxed{1}

This means our solution is:

\large\boxed{(3, 1)}

Answer:

x = 3, y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3, y = 1