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3 years ago

What is the length of AC?pls help!

Mathematics

1 answer:

ollegr [7]3 years ago

7 0

Answer:

Step-by-step explanation:

8 + 8 (same length)

= 16

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Hilda has $210 worth of $10 and $12 stock shares. The number of $10 shares is five more than twice the number of $12 shares. How

klasskru [66]

Let's first define variables.
y: number of shares of $ 10
x: number of shares of $ 12
We write the system of equations:
10x + 12y = 210
y = 2x + 5
Solving the system:
x = 75/17
y = 235/17
Answer:
she has:
75/17 shares of $ 12
235/17 shares of $ 10

6 0

3 years ago

Read 2 more answers

What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint

leonid [27]

The right answer is c. –2.24, 2, 2.24

This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.

1. Using a graphing calculator.

We have the following polynomial equation:

$x^3-5x+5=2x^2-5$

By ordering this equation we have:

$x^3-2x^2-5x+10=0$

So, we can say that this equation comes from a function given by:

$f(x)=x^3-2x^2-5x+10$

Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of $f(x)$ which are:

$x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236$

Finally, rounding noninteger roots to the nearest hundredth we have:

$\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}$

2. Using a system of equations.

The ordered equation is:

$x^3-2x^2-5x+10=0$

By arranging to factor out we have:

$x^3-5x-2x^2+10=0$

Then, by factoring:

$x(x^2-5)-2(x^2-5)=0$

Term $(x^2-5)$ is a common factor, thus:

$(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}$

6 0

3 years ago

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I need to fill the graph out?? 20pts

gulaghasi [49]

What the symbol column should look like

7 0

3 years ago

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How many solutions does the following equation have? -9(x+6)=−9x+108

Aleksandr-060686 [28]

Answer:

2 or 3 im not sure but choes 2

Step-by-step explanation:

7 0

2 years ago

Factor completely x2 - 49

siniylev [52]

Answer: (x + 7)(x - 7)

Explanation: If a variable is taken to an even power, that variable is a perfect square. In this case, x² would therefore be a perfect square.

Since 49 is also a perfect square, what we have here is the difference of two squares. That can be factored as the product of two binomials one with a plus in the middle and one with a minus in the middle.

In the first position will be the factors of x² that are the same.

So we have <em>x</em> and <em>x</em>.

In the second position we will have the

factors of 49 that are the same, 7 and 7.

(x + 7)(x - 7) is your answer which is a factored version of x² - 49.

5 0

2 years ago

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What is the length of AC?pls help!​

What is the length of AC?pls help!