Answer:
x = 27
Step-by-step explanation:
Since l, m, and n are cut across by the two transversal lines, therefore, the transversal lines are cut off proportionally.
This implies that:
6/x = 10/45
Cross multiply
x*10 = 45*6
10x = 270
10x/10 = 270/10
x = 27
<span>The first three steps of completing the square to solve the quadratic equation x^2 + 4x - 6 = 0, are shown below.
step 1: x^2 + 4x = 6
step 2: x^2 + 4x + 4 = 6 + 4
step 3: (x + 2)^2 = 10
step 4: x + 2 = +/-sqrt(10)
step 5: x = sqrt(10) - 2, or x = -sqrt(10) - 2
so the steps are in order.</span>
Answer:
6 hours
Step-by-step explanation:
speed = distance/ time
6000meters to km = 6000/1000= 6km
speed for the first race = 6/2
speed = 3km/hr
for the second race
speed = distance/time
3 = 18/time
cross multiply
3* t = 18
divide both sides by 3
t = 18/3
t = 6 hours
Answer:
C) √5(cos(117°) +i·sin(117°))
Step-by-step explanation:
The rectangular number a+bi can be written in polar form as ...
√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))
Here, we have a=-1, b=2, so the magnitude is ...
√((-1)^2 +2^2) = √(1+4) = √5
and the angle is ...
arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle
Then you have ...
-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"
_____
Comment on the answer
The "polar form" is generally written as ...
(magnitude)·(cos(angle) +i·sin(angle))
You may also see it as ...
(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"
In my engineering courses, we often used the form ...
(magnitude) ∠ (angle)
The form used by my calculator is ...
(magnitude)·e^(i·angle) . . . . . where angle is usually in radians
Answer:
O-2(x+5)
Step-by-step explanation:
I have to much time on my hands
