Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle BDC
Find the value of j
Applying the Pythagorean Theorem
step 2
In the right triangle ABD
Applying the Pythagorean Theorem
----> equation A
step 3
In the right triangle ABC
Applying the Pythagorean Theorem
----> equation B
step 4
Substitute equation A in equation B
solve for g
we know the complex number has standard form a+ib
Inorder to find our answer ib^2 should.be 1
Ex:-
2-i
2:-
For this case we have to:
x: Represents the number of miles that can be traveled in a day
We have that the cost of daily car rental is given by the following expression:
If the person has a budget of $200 then we have to:
Thus, you can travel 496 miles in one day.
Answer:
The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.
<h3>What is the equation of a line passing through two points?</h3>The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.
Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).
Let the point P be (x, y).
We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).
y = 1.444x + C
-8 = 1.444 (-3) + C
C = -3.667
Then the equation will be
y = 1.444x – 3.667 …1
The slope of the line PQ and RS will be same and line is passing through (5, 7).
y = -2x + D
7 = -2 (5) + D
D = 17
Then the equation will be
y = -2x + 17 …2
By solving equation 1 and 2, we have
x = 6 and y = 5
Then the position vector of P will be
⇒ 6i + 5j
The graph is given below.
Learn more about straight-line equations here:
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