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3 years ago

Does anybody think they can help with this question?

Mathematics

1 answer:

Sati [7]3 years ago

5 0

The perimeter of a square is the sum of all its sides' lengths

That means: perimeter =4*(7m+1)/3

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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

morpeh [17]

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

Answer :

x = -4 or x = 2 ✅

Explanation :

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :

If b² - 4ac > 0 , There are 2 real-number solutions

If b² - 4ac = 0 , There is 1 real-number solution.

If b² - 4ac < 0 , There is no real-number solution.

The roots of the equation are determined by the following calculation:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

Here, we have :

a = 1
b = 2
c = -8

1) Calculate the discriminant :

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) Calculate the roots of the equation:

▪️ (1)

$x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}$

▪️ (2)

$x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}$

>> Therefore, your answers are x = -4 or x = 2.

Learn more about quadratic equations:

brainly.com/question/27638369

6 0

2 years ago

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What is 1 minus 1 divided by 5

slava [35]

Answer:

1-1/5= 0.8

Explanation:

1-1=0

0-5=0.8

8 0

3 years ago

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What is 4 wholes and 2 3rds divided my 1 whole and w ninths

ira [324]

Answer:

Step-by-step explanation:

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3 years ago

These data represent the volumes in cubic yards of the largest dams in the united states and in South America. Construct a boxpl

Vsevolod [243]

Answer:

Check it below

Step-by-step explanation:

1) The Boxplot is a visual tool to easily find the quartiles of a Distribution. To construct a boxplot it's necessary to organize the data, find at least the upper (3rd Quartile) and lower quartile (1st Quartile), and register the maximum and the minimum value.

2) This graph confirms that the South American ones have much more water than the North American counterparts. Notice the Upper Quartile, (the top of the box) for the Southern ones, it's over 100,000 yrds³. And Compare to the Northern one.

4 0

3 years ago

A bookstore sells textbooks for $80 each and notebooks for $4 dollars each. The bookstore would like to sell $800 in merchandise

mariarad [96]

Answer: 8 textbooks

Step-by-step explanation:

Sold 40 notebooks = 40 x $4 = $160

$800 - $160 = $640 left to sell

$640/$80 (cost of textbook) = 8 textbooks need to be sold

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3 years ago