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3 years ago

Simplify the square root of -72

Mathematics

1 answer:

kupik [55]3 years ago

5 0

Answer:

6i $\sqrt{2}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ = $\sqrt{ab}$ and $\sqrt{-1}$ = i

Given

$\sqrt{-72}$

= $\sqrt{36(2)(-1)}$

= $\sqrt{36}$ × $\sqrt{2}$ × $\sqrt{-1}$

= 6 $\sqrt{2}$ × i

= 6i $\sqrt{2}$

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Use the quadratic formula to solve the following quadratic equation.

irina1246 [14]

Answer:

3.89 and -0.39.

Step-by-step explanation:

To find the answer we need to find what is what based of ax squared plus/minus bx + c = 0. A is 2, b is -7, and C is - 3. Now using the formula -b plus minus square root of b squared minus 4 time a time c all divided by 2a.

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3 years ago

The passing yards for the top 5 quarterbacks in the country are 3,832, 3,779, 3,655, 3,642, and 3,579. Find the variance and sta

Leviafan [203]

First get the average passing yards:

(3,832 + 3,779 + 3,655 + 3,642 + 3,579) / 5 = 3,697.4

Now get the squared residuals for each quarterback's passing yards. That is, compute the difference between each data and the average, then square the result. For example,

(3,832 - 3,697.4)^2 = 134.6^2 = 18,117.2

For the others, you should get squared residuals of

6,658.56

1,797.76

3,069.16

14,018.6

Take the sum of the squared residuals, then - since this is a sample, and not a population of all quarterbacks - divide the sum by 5 - 1 = 4 to get the variance:

(18,117.2 + 6,658.56 + 1,797.76 + 3,069.16 + 14,018.6)/4 = 10,915.3

The standard deviation is just the square root of the variance:

√(10,915.3) ≈ 104.48

5 0

3 years ago

Read 2 more answers

Find the value of 5x-6 given that 2x-7=9

erik [133]

Answer:

Step-by-step explanation:

Given that

2x - 7 = 9 ← solve for x

Add 7 to both sides

2x = 16 ( divide both sides by 2 )

x = 8

Substitute x = 8 into 5x - 6

5x - 6 = (5 × 8) - 6 = 40 - 6 = 34

4 0

3 years ago

What is the equation of the line which

natka813 [3]

Answer:

The equation of the line is y = (-1/2)x + 5

Step-by-step explanation:

$m = \frac{y2 - y1}{x2 - x1 }$

First of all, have to find gradient using the formula above :

(2,4) & (14,-2)

m = (-2-4) / (14-2)

= -6 / 12

= -1/2

Second, using y = mx + b as b is a constant and is a y-intercept. Using any of these 2 coordinates to find the value of b with given gradient :

y = mx + b

Let y=4 & x=2

4 = (-1/2)(2) + b

b = 4 + 1

= 5

Lastly, put the value of gradient and y-intercept into the equation :

y = mx + b

Let m=-1/2 & b=5

y = (-1/2)x + 5

5 0

3 years ago

The slope formula can be used to find the slope, m, of a line with points (L1, y1) and (22, 42).

Helga [31]

Answer: $(y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)$

Step-by-step explanation:

Point slope form: $(y-b)=n(x-a)$ , where n=slope , (a,b) is the point through which line passes.

If slope of the line = m and line passes through $(x_1,y_1)$ and $(x_2,y_2)$ :-

$(y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)$

So, the equivalent equations are :

$(y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)$

4 0

3 years ago