The value of k is -6
Step-by-step explanation:
The general form of the quadratic equation is y = ax² + bx + c
- The roots of the equation is the values of x when y = 0
- ax² + bx + c = 0, is used to find the roots
∵ 2x² + 11x = -k
- Add k to both sides
∴ 2x² + 11x + k = 0
∵ The roots of the quadratic equations is the values of x when y = 0
∵ 
is a root of the equation
- Substitute x by in the equation above to find k
∵ 2( )² + 11( ) + k = 0
∴ 2( 
) + 
+ k = 0
∴ + + k = 0
- Add the like terms
∵ + = 
= 6
∴ 6 + k = 0
- Subtract 6 from both sides
∴ k = -6
The value of k is -6
Learn more:
You can learn more about the quadratic equations in brainly.com/question/8196933
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So the equaiton is
number of nickes=n
number of quarters=q
if you have 1 quarter then you have 25 cents so we will represent like this
25q
and nickles is 5n
14.50=1450 cents
so
25q+5n=1480
q+n=88
subtract q from both sides
n=88-q
subsitute into first equation
25q+5(88-q)=1480
25q+440-5q=1480
add like terms
20q+440=1480
subtract 440 from both sides
20q=1040
divide both sdies by 20
q=52
there were 52 quarters
25(52)+5n=1480
1300+5n=1480
subtract 1300 from both sides
5n=180
divide both sides by 5
n=36
there were 36 nickels
nickles=36
quarters=52
Answer:
9:30 am
Step-by-step explanation:
- Add 30 minutes + 30 minutes to get 60 minutes, which is one hour.
- Add 1 hour to 1 hour and 45 minutes to get 2 hours and 45 minutes.
- Subtract 2 hours from 12:15 pm, to get 10:15.
- That'll leave you with just 45 minutes left. To make it easier than subtract 45 minutes from 10:15, subtract 15 minutes from 10:15, to end up at 10:00 am.
- 45 minutes - 15 minutes = 30 minutes, so then you subract 30 minutes from 10:00 am, and you end up at 9:30 am, which is your final answer
ANSWER
EXPLANATION
The given complex numbers are;
and
Recall the binominal identity for complex numbers in polar form.
We apply this property to obtain,
The magnitude can be found by using the PythaGORAS THEOREM:-
PQ = √[ (-3 - (-5))^2 + (4 - 2)^2 ]
