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3 years ago

What is the solution set of the quadratic equation - 2(2x-7)^2 = - 8

Mathematics

1 answer:

barxatty [35]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

Given

- 2(2x - 7)² = - 8 ( divide both sides by - 2 )

(2x - 7)² = 4 ( take the square root of both sides )

2x - 7 = ± $\sqrt{4}$ = ± 2 ( add 7 to both sides )

2x = 7 ± 2

2x = 7 - 2 = 5 or 2x = 7 + 2 = 9 ( divide both sides by 2 )

x = $\frac{5}{2}$

x = $\frac{9}{2}$

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A triangular prism and two nets are shown:

leonid [27]

The net for a triangular prism consists of
2 identical triangles, here all nets have sides 5,12, and 13.
3 rectangles, all with a common dimension: the height H=14 of the prism.

Each of the 3 rectangles should have dimensions
H=14 plus one of the following:
each of 5, 12, 13 corresponding to one side of the base (triangle).

So the dimensions of the rectangles are
5x14, 12x14, 13x14

And dimensions of the triangles are
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8 0

3 years ago

Find the mean of the first 7 odd prime number?

bekas [8.4K]

Answer: 75/7 or 10.71 (rounded)

Step-by-step explanation:

Mean = Average

To find the average you should add all the numbers together and then divide it by the amount of numbers.

In this question, the formula is $\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}$

----------------------------------------------------------------------------------------

The list of the first 7 odd prime numbers:

3, 5, 7, 11, 13, 17, 19

Now, add them together

3+5+7+11+13+17+19=75

Divide the sum by 7

75÷7=75/7=10.71 (rounded)

Hope this helps!! :)

Please let me know if you have any questions

6 0

3 years ago

Can someone please help me with this I will give brainliest

IrinaK [193]

Answer:

Step-by-step explanation:

2(2x +4) - 2x = x + 18

4x +8 -2x = x +18

2x -x = 18-8

X = 10

Put the value of x in both side

Left side *+*+*+*+*+

2 ( 2*10+4)-2*10

48-20 = 28

Right side +*+*+*+*+*

X + 18

10+ 18 = 28

Mark it as Brainlist. Follow me for more answer

4 0

3 years ago

What is the first step to solve the equation 16x-21 = 52?

Makovka662 [10]

Answer:

2) Add 21 to both sides

Step-by-step explanation:

When solving $16x-21=52$ for $x$ , our goal to isolate $x$ such that we have $x$ set equal to something.

Therefore, we want to start by adding 21 to both sides. This leaves us with $16x=73$ and we are one step closer to isolating $x$ .

8 0

3 years ago

Read 2 more answers

Find ten rational numbers between -1 by 5 and 1 by 2

uysha [10]

Answer:

Step-by-step explanation:

First both the rational numbers should have same denominators. So, find least common denominator

Least common denominator is 10

$\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\$

Now multiply the numerator and denominators of the both the numbers by 10.

$\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}$

8 0

3 years ago

What is the solution set of the quadratic equation - 2(2x-7)^2 = - 8​​

What is the solution set of the quadratic equation - 2(2x-7)^2 = - 8