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3 years ago

Is the answer B or C

Mathematics

1 answer:

klio [65]3 years ago

6 0

We will calculate it like this, We will make a right angle triangle by adding one new point called O for example, and O is located right under the point C, and on the right side of point D, so the coordinated for this point are O (8, -2). From there, length CD is calculated using the Pythagorean theorem, because we know that the CO = 4 and DO = 4, so:

CD^2 = CO^2 + DO^2

CD^2 = 4^2 + 4^2

DC^2 = 16 + 16

DC^2 = 32

DC = square root of 32 = square root of 16 * square root of 2

DC = 4 * square root of 2

The correct answer is B. 4*square root of 2.

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Find all complex solutions of 5x^2+5x+3=0.

oksian1 [2.3K]

Answer:

see explanation

Step-by-step explanation:

5x² + 5x + 3 = 0 ← in standard form

with a = 5 , b = 5 , c = 3

Solve using the quadratic formula

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

= $\frac{-5+/-\sqrt{5^2-(4(5)(3)} }{2(5)}$

= $\frac{-5+/-\sqrt{25-60} }{10}$

= $\frac{-5+/-\sqrt{-35} }{10}$

= $\frac{-5+/-\sqrt{-1(35)} }{10}$

= $\frac{-5+/-i\sqrt{35} }{10}$

Then

x = $\frac{-5}{10}$ ± $\frac{1}{10}$ i $\sqrt{35}$ , that is

x = - $\frac{1}{2}$ - $\sqrt{x} \frac{1}{10}$ i $\sqrt{35}$ , - $\frac{1}{2}$ + $\frac{1}{10}$ i $\sqrt{35}$

5 0

3 years ago

Pi/6 is the reference angle for: 3pi/6 5pi/6 13pi/6 8pi/6

Elanso [62]

Answer:

$\frac{5\pi}{6}, \frac{13\pi}{6}$

Step by step

Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.

$\frac{3\pi}{6}=90^\circ$ , then its reference angle is $\frac{\pi}{2}$

$\frac{5\pi}{6}=150^ \circ$ is in the second cuadrant, then its reference angle is $180^ \circ -150^{\circ}=30^{\circ}=\frac{\pi}{6}$

$\frac{13\pi}{6}=390^\circ=360^\circ+30^\circ$ , then it is in the first cuadrant and the reference angle is $30^\circ =\frac{\pi}{6}$ .

$\frac{8\pi}{6}=240^\circ$ and it is in the third cuadrant, then its reference angle is $240^\circ -180^\circ=60^\circ=\frac{\pi}{3}$

5 0

3 years ago

Which of the following lines is perpendicular to the x-axis and contains the point (-11.4, 12.8)

sergejj [24]

The line x = -11.4 is perpendicular to the x-axis and contains point

(-11.4 , 12.8)

Step-by-step explanation:

Let us revise the equations of the vertical lines and horizontal lines

The vertical line is a line parallel to y-axis
The x-coordinates of all points lie on the line are equal
The equation of the vertical line basses through point (a , b) is x = a
The horizontal line is a line parallel to x-axis
The y-coordinates of all points lie on the line are equal
The equation of the horizontal line passes through point (a , b) is y = b
The vertical line and the horizontal line are perpendicular to each other when intersect each other

∵ The line is perpendicular to the x-axis

∴ The line is a vertical line

∴ The equation of the line is x = a, where a is the x-coordinate

of any point lies on the line

∵ The line contains point (-11.4 , 12.8)

∵ The x-coordinate of the point is -11.4

∴ a = -11.4

∴ The equation of the line is x = -11.4

The line x = -11.4 is perpendicular to the x-axis and contains point

(-11.4 , 12.8)

Learn more:

You can learn more about the linear equation in brainly.com/question/13168205

#LearnwithBrainly

7 0

3 years ago

If 1 = 33 seconds how much would 1 be?

weeeeeb [17]

Answer:

Given in the question itself ......1 would be 33 seconds .......................

6 0

3 years ago

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Iodine-131 is a radioactive material with half-life of eight days. A scientist starts with 100 grams of iodinie- 131. Which func

MrRissso [65]

The correct answer is Choice A.

This is an example of an exponential equation, so we need the formula $y=ab^x$ .

The a value is the starting value of 100. The b value must be a decimal lower than 1 because it is decreases.

If you substitute in 8 for x, you will see that the output is about 50 (half of 100).

6 0

3 years ago

Read 2 more answers