First we need to find the lengths of vector u and v. We can find this by distance formula:
and
We need to find | 3u - 2v |, which is the absolute value of 3u - 2v.
3u = 3 x 18.79 = 56.37
2v = 2 x 10.82 = 21.64
So,
| 3u - 2v | = | 56.37 - 21.64 | = | 34.73 | = 34.73
Answer:
u = (-21)/20
Step-by-step explanation:
Solve for u:
u + 1/4 = (-4)/5
Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u)/4 + 1/4:
(4 u)/4 + 1/4 = -4/5
(4 u)/4 + 1/4 = (4 u + 1)/4:
1/4 (4 u + 1) = -4/5
Multiply both sides of (4 u + 1)/4 = (-4)/5 by 4:
(4 (4 u + 1))/4 = (-4)/5×4
4×(-4)/5 = (4 (-4))/5:
(4 (4 u + 1))/4 = (-4×4)/5
(4 (4 u + 1))/4 = 4/4×(4 u + 1) = 4 u + 1:
4 u + 1 = (-4×4)/5
4 (-4) = -16:
4 u + 1 = (-16)/5
Subtract 1 from both sides:
4 u + (1 - 1) = (-16)/5 - 1
1 - 1 = 0:
4 u = (-16)/5 - 1
Put (-16)/5 - 1 over the common denominator 5. (-16)/5 - 1 = (-16)/5 - 5/5:
4 u = (-16)/5 - 5/5
-16/5 - 5/5 = (-16 - 5)/5:
4 u = (-16 - 5)/5
-16 - 5 = -21:
4 u = (-21)/5
Divide both sides by 4:
u = ((-21)/4)/5
5×4 = 20:
Answer: u = (-21)/20
Answer:
I think the first questions answer is 30 people. And the second questions answer is 75
Step-by-step explanation:
To determine how many students voted for Math, you must remove the votes from the 195 students that have been counted, from the total 270 who voted. So, 270 − 195 = 75 students voted for Math as their favorite subject.
For the first question I just found out what 6% of 500 is.
No its not a function :)
<span>to find the inverse function first expand those brackets </span>
<span>you'll get </span>
<span>f(x)= x^2 - 2x^2 - 2x^2 = 4x^2 </span>
<span>f(x)= x^2 - 4x^2 + 4x^2 </span>
<span>f(x)= x^2 or y=x^2 </span>
<span>to find the inverse, swap x and y around. then make y the subject again </span>
<span>y=x^2 </span>
<span>x=y^2 </span>
<span>Root of x=y </span>
<span>now put -1 into x </span>
<span>it wont work because roots cannot have negative numbers </span>
<span>answer is no</span>
Answer:
C
Step-by-step explanation: