What is the distance from the origin of point P graphed on the complex plane below?

Mathematics

2 answers:

Rufina [12.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

ZanzabumX [31]3 years ago

7 0

Answer:

b) √29

Step-by-step explanation:

Given: The origin is (0, 0), the point P is (2, -5).

We need to use the distance formula.

Distance formula = $\sqrt{(x2 -x1)^2 + (y2 - y1)^2} \\$

Here x2 = 2, x 1 = 0, y1 =0, y2 = -5

Distance = $\sqrt{(2 -0)^2 + (-5 - 0)^2}$

= $\sqrt{2^2 + (5)^2}$

= √(4 + 25)

= √29

The answer is b) √29

Hope you will understand the concept.

Thank you.

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Please help thank you and show all work.

Daniel [21]

Question 1:

Look at the first attached image.

We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.

Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.

$51*tan(15)$
$\approx 14$

Now, subtract that from 207 to get the height of the smaller building.

$207-14=193$

That's your answer.

Question 2:

The angle of elevation is congruent to the angle of depression because they are alternate interior angles.

Thus, you can choose the 1st and 4th choices as your answer.

Question 3:

Look at the second attached image.

Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

$3x+1=2(x+8)$

Distributive property

$3x+1=2x+16$

Subtract both sides by 1 and 2x

$x=15$

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.

The third choice is your answer. Hope this helps! :)