In order to find the vector that points from A to B we need to subtract each component of A from the corresponding component of B, according to the formula:
v(a→b)=(b1−a1,b2−a2)
In this case we have :
v(a→b)=(−5−(−8),3−(−1))
<span>v(a→b)=(3,4)
</span>To find the magnitude we use the formula:
||v|= √(v1^2)+(v1^2)
So:
||v|= √(32)+(42)
||v|= √9+16
||v|= <span>√</span>25
||v|= 5
Answer:
(n-2) • (4n+3)
Step-by-step explanation:
4n2-5n-6
Final result :
(n - 2) • (4n + 3)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22n2 - 5n) - 6
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 4n2-5n-6
The first term is, 4n2 its coefficient is 4 .
The middle term is, -5n its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
4n2 - 8n + 3n - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
4n • (n-2)
Add up the last 2 terms, pulling out common factors :
3 • (n-2)
Step-5 : Add up the four terms of step 4 :
(4n+3) • (n-2)
Which is the desired factorization
Final result :
(n - 2) • (4n + 3)
Answer:
9 + 5.5x
Step-by-step explanation:
Answer: p = 120 degrees
Step-by-step explanation:
Figure a shows a pentagon. The sum of interior angles in a pentagon is equal to 540 degrees.
1. Subtract the known numerical angle
540 - 60 = 480
All of the remaining angles (represented by the variable p) are equal to one another. Therefore, we can use the expression 4p = 480 to find the value of p.
2. Evaluate the equation to find the value of p.
4p = 480
p = 120
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