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kondaur [170]
3 years ago
11

Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table.

Mathematics
2 answers:
Andrei [34K]3 years ago
7 0

The given Quadratic equation is

4x^2- 8x - 13 = 0\\\\4(x^2-  2 x - \frac{13}{4}) = 0\\\\ (x-1)^2-1^2- \frac{13}{4}=0\\\\ (x-1)^2=\frac{\sqrt{17}}{4}\\\\ x-1=\pm\frac{\sqrt{17}}{4}\\\\ x=1 +\frac{\sqrt{17}}{4} \text{or}     x=1-\frac{\sqrt{17}}{4}

These are the steps to determine the roots as well as solve the quadratic equation.

You can find the mistake by looking at the procedure of solving the quadratic equation by completing the square solved above.


SOVA2 [1]3 years ago
5 0
Its step 2 my guy.....................................









































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What is the area<br> of circle <br><br><br><br>with a diameterms of 10 m​
pentagon [3]

Answer:

exact area = 25(pi) m^2

approximate area = 78.54 m^2

Step-by-step explanation:

diameter = 10 m

radius = diameter/2 = 10 m / 2 = 5 m

area = (pi)r^2

area = (pi)(5 m)^2

area = 25(pi) m^2

area = 78.54 m^2

6 0
3 years ago
Each week, Rosario drives to an ice-skating rink that is 60 miles away. The round-trip takes 2.75 hours. If he averages 55 miles
vazorg [7]

Answer:

The answer to your question is x = 4d/t - S1

Step-by-step explanation:

Data

total time = t = 2.75 hours

Initial speed = S1 = 55 mi/h

Final speed = x

distance = d = 60 mi

Formula

speed = distance / time

Average speed = (Initial speed + final speed)/2  or

                          = (S1 + x)/2

Substitution

                             (S1 + x)/2 = 2(d) / t

Solve for x

                             x = (2d/t)2 - S1

Simplification and result

                              x = 4d/t - S1

3 0
3 years ago
What is 2*2^3 in expanded form?
katrin2010 [14]

Answer:

16

Step-by-step explanation:

To solve this question,we will have to understand some symbols in mathematics...

For example,* means ×

/ Means÷

We have so many of them

So back to the question

2*2^3 means 2 multiply by 2 raise to the power of 3

So 2^3 is 8

Therefore,2*8 means 2×8

It equals to 16

Therefore the final answer is 16

I hope you understand it better now

5 0
3 years ago
What is the rational number equivalent to <br> __<br> 3.24?
guajiro [1.7K]

Answer:

\frac{324}{100}

Step-by-step explanation:

Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is 3\frac{24}{100}

Now express that mixed fraction as an improper and you're done. 3 times 100 is 300; 300 + 24 = 324. Put that back over 100 and your rational number is 324/100. Check that on your calculator, as well, just to see that it's true.

5 0
3 years ago
Could any kind person help me with this equation please
kondor19780726 [428]

M’ (-4, 7)

N’ (0, 5)

P’ (2, 0)

Q’ (-2, 1)

you basically change the x and y values by the value it says so you'd subtract 4 from x (the first number) and add 1 to y (the second number)

5 0
3 years ago
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