False, they would be called Complementary
Answer:
Y=(-1/2)x+9/2
Step-by-step explanation:
For straight lines y=mx+c
m=gradient
Find the gradient first-m=(y2-y1) /(x2-x1)
Take the points M and N and substitute in the equation
m=(5-2)/(-1-5)
m=-1/2
Gradient of line MN×gradient of perp line =-1
There fore gradient of perp line =2
Answer:
hi,
Step-by-step explanation:
A consistent system of equations has at least one solution, and an inconsistent system has no solution.
Here the system has one solution.
Just flip your fraction around and your answer will be 10/11
Answers:
24 quarters
22 nickels
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Work Shown:
q = number of quarters
n = number of nickels
q+n = 46 coins total which solves to n = 46-q
25q = value of all the quarters in cents
5n = value of all the nickels in cents
25q+5n = value (cents) of all the coins of both types
25q+5n = 710 cents total = $7.10
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Apply substitution.
25q+5n = 710
25q+5(46-q) = 710
25q+230-5q = 710
20q+230 = 710
20q = 710-230
20q = 480
q = 480/20
q = 24
They have 24 quarters
This yields 25*q = 25*24 = 600 cents = $6.00 so far.
Use that value of q to find n
n = 46-q
n = 46-24
n = 22
They also have 22 nickels.
They have an additional 5n = 5*22 = 110 cents = $1.10
In total, they have 6.00+1.10 = 7.10 dollars which confirms we have the correct coin counts. Also, q+n = 24+22 = 46.
