Answer:
x = 2
Explanation:
First, make sure they both have common denominators ( 15 )
5 × 3 = 15 and 3 × 5 = 15
Whatever you do to the denominator you have to apply to the numerator. So, multiply the numerator and denominator of the first fraction by 3.
=
Next, multiply the numerator and denominator of the second fraction by 5.
=
Now we have:
Use distributive property on the numerators of both fractions.
Since the denominators are equal we can ignore them for now and find x.
9<em>x </em>- 3 = 5<em>x</em> + 5
We need to move like terms to different sides to isolate x. First, we can subtract 5<em>x</em> from both sides.
9<em>x</em> - 5<em>x</em> - 3 = 5<em>x</em> - 5<em>x</em> +5
4<em>x</em> - 3 = 5
Then, we can add 3 to both sides to cancel out the -3.
4<em>x</em> - 3 + 3 = 5 + 3
4<em>x</em> = 8
Finally, to find x we divide both sides by 4.
4x ÷ 4 = 8 ÷ 4
x = 2
The magnitude of the vector is √(7^2+12^2)=√(49+144)=√193
The direction is α=arctan(y/x)=arctan(12/-7)≈-59.74 however this is relative to the negative x-axis so we add 180° to get the standard angle...180-59.74=120.26°
So the vector is √193 @ 120.26°
Answer:2/9
Step-by-step explanation:
Answer to apx
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