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3 years ago

Between which two consecutive integers does the square root of 830 lie

Mathematics

1 answer:

vodomira [7]3 years ago

8 0

28^2=784

29^2=841

784<830<841

therefore sqrt784<sqrt830<sqrt841

therefore 28<sqrt830<29

Done!

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Help help I don’t really get this???

insens350 [35]

Answer:

Question 4: $y=\displaystyle -\frac{4}{5}x$

Question 5: $y=-5x-3$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

Question 4

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$ where two points that pass through the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

$\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}$

Therefore, the slope of the line is $\displaystyle -\frac{4}{5}$ . Plug this into $y=mx+b$ as the slope (m):

$y=\displaystyle -\frac{4}{5}x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into $y=\displaystyle -\frac{4}{5}x+b$ :

$y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x$

Question 5

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

$\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5$

Therefore, the slope is -5. Plug this into $y=mx+b$ :

$y=-5x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into $y=-5x+b$ :

$y=-5x+(-3)\\y=-5x-3$

I hope this helps!

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3 years ago

What type of correlation is shown in this scatterplot?

fiasKO [112]

A positive correlation.(Brainliest please)

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3 years ago

The height of an equilateral triangle h equals 3√2s where s is the length of a side. Suppose an equilateral triangle is made wit

nirvana33 [79]

Answer:

The correct option is;

B. a. Whole number b. Irrational number

Step-by-step explanation:

The height, h of the equilateral triangle = 3·√2·s

The item by which equilateral triangle is made = 2-inch toothpicks

Therefore, we have;

The sides of the equilateral triangle = Comprises multiples of 2 inches

Therefore, the sides of the equilateral triangle is a whole number

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Therefore, the height of the triangle is an irrational number

The correct option is A. a. Whole number b. Irrational number.

A whole number are the positive counting numbers, 0, 1, 2, ..., while an integer includes negative numbers which is not possible for a real triangle.

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Answer:

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Step-by-step explanation:

Formula for area is W(L) or width multiplied by length.

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Now we solve for d.

d = $\sqrt{w^{2} + (\frac{A}{W})^{2}$

= $\sqrt{9^{2} + (\frac{99}{9})^{2}$

≈ 14. 21267

≈ 14.2

Please mark branliest thanks!

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3 years ago

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kobusy [5.1K]

Answer:

it b why becaus

Step-by-step explanation:

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3 years ago

Between which two consecutive integers does the square root of 830 lie ​

Between which two consecutive integers does the square root of 830 lie