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tankabanditka [31]
3 years ago
7

Georgia built a model of the Empire State Building that is proportional to the actual building. The actual building is 187 feet

wide and 1,454 feet tall. Her model is 10 feet tall.
Mathematics
1 answer:
Illusion [34]3 years ago
8 0

\frac{x}{10ft}  =  \frac{187ft}{1454ft}  \\ (10 \times 187) \div 1454 =  \\ 1.2861072902 \\ or \\ 1.3ft \: wide
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If using the method of completing the square to solve the quadratic equation x^2+5x-37=0, which number would have to be added to
insens350 [35]

Answer:

1

Step-by-step explanation:

To complete the square, first you must make sure that the coefficient of the x^2 term is 1. Here you have x^2 - 2x - 37 = 0. Since the x^2 term is simply x^2, you do have a coefficient of 1 for the x^2 term.

To find the number you need to add to complete the square, take the coefficient of the x term. Divide it by 2. Then square it.

The x term is -2x. The coefficient of the x term is -2.

Take half of -2 which is -1.

Now square -1 to get 1.

You need to add 1 to complete the square.

brainliest?!?!yes

7 0
3 years ago
Read 2 more answers
Can someone help me with factoring? 4x^3 + 43x^2 + 30x
Sergio039 [100]
4x^{3}+43x^2+30x
First in factoring, you must find out what is common in the whole equation
x(4x^2+43x+30)
Now, make 2 sets of parentheses and "split up" the rest of the equation
Try to experiment which numbers work out
We are not subtracting anything so both parentheses are positive
x(4x+3)(x+10)
Therefore, the factored version of 4x^3+43^2+30x is
x(4x+3)(x+10)
5 0
3 years ago
What is the product and reciprocal of 1/9​
sukhopar [10]

Answer:

9

Step-by-step explanation:

The reciprocal of 1/9 is 9/1 which is just 9.

4 0
3 years ago
Read 2 more answers
Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9
NeTakaya
<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}

Now you can rewrite it as:

(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}

Next, multiply:

(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}

Next, divide:

(\frac{f}{g})(x)=(x+2)^2

And lastly, simplify:

  • A good tip: (x+y)^2=x^2+2xy+y^2

(\frac{f}{g})(x)=x^2+4x+4

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

7 0
3 years ago
Mike bought a soft drink for 4 dollars and 9 candy bars. He spent a total of 31 dollars. How much did each candy bar cost ?
Andre45 [30]

Answer:

$3 per candy bar

Step-by-step explanation:

:))

7 0
2 years ago
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