Answer:
<em>u</em> = 7.21
Step-by-step explanation:
The magnitude of <em>u</em> is just the distance between the two points. The coordinates of the left-most point are (-2,-8) and the coordinates of the right point are (4, -4). I'm assuming the x coordinates here because we don't actually know the scale.
Ok so from these points, you can draw a triangle (u can see it in the attached file).
From the coordinates we can tell the lengths of the sides, and the triangle shows that <em>u</em> is the hypotenuse of the triangle. This triangle is also a right triangle, so u can use Pythagoras' theorem to find the length of <em>u</em>.
Since c = <em>u</em>, we know now that the magnitude of <em>u</em> is 7.21
Hope this helps!
Answer:
Step-by-step explanation:
When choosing equations to write, make sure you choose a pair that allow you to isolate a variable and solve for it.
Sample solution:
<h3>
Answer:</h3>
95%
<h3>
Step-by-step explanation:</h3>
4 minutes is 4×(60 seconds) = 240 seconds.
The amount of dance time is (240 -12) seconds = 228 seconds.
The percentage of music time spent dancing is ...
... (228 seconds)/(240 seconds) × 100% = 95%
Answer:
4/500
Step-by-step explanation:
Answer:
x=+6
Step-by-step explanation:
First, let's divide both sides of the equation by
3
:
⇒
3
x
2
3
=
108
3
⇒
x
2
=
36
Then, let's subtract
36
from both sides:
⇒
x
2
−
36
=
36
−
36
⇒
x
2
−
36
=
0
The left-hand side of the equation is now in the form of a difference of squares.
We can factorise it in the following way:
⇒
(
x
+
6
)
(
x
−
6
)
=
0
Using the null factor law:
∴
x
=
±
6
Therefore, the solutions to the equation are
x
=
−
6
and
x
=
6
.
