(-6,-5) (1,-8)
d= √(x₂−x₁)² +(y₂−y₁)²
d= √(1+6)² +(-8+5)²
d= √(7)² +(-3)²
d= √49+9
d= √51
d=7.1
The total cost in 5 hours is $225
Given that the charges of a supply fee of an artist is $50
The charges per hour classes is $35
The total cost is expressed by c
The number of hours expressed by h
We need to calculate the total cost in 5 hour lesson
As per the given statement ,
C= 50 +35h
Where h is the number of hours
h = 5 hours
C = 50 + 35h
C = 50 + 35(5)
C = 50 +175
C = $225
The total cost in 5 hours is $225
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Well first you have to make variables for each number.
1st - x
2nd - y
3rd - z
first sentence says twice first number so 2x. is means equals so =. eleven more than sum of the other two numbers. sum of other two numbers is (y + z) and eleven more than that is (y + z) + 11. So so this sentence says:
2x = (y + z) + 11
second sentence says sum of twice the first and three times third. twice first is 2x and three times third is 3z. their sum would be (2x + 3z). It it says is one more than second number. So = (y + 1). So so this means:
(2x + 3z) = (y + 1)
third sentence says second number (y) is is equal to sum of first and third (x + z). so;
y = (x + z)
now for the work.
We we can easily solve for a by subtracting the first 2 equations. the way to subtract 2 equations is by subtracting one left side of equal sign from the other equations left side and then doing the same with the right side.
So we will subtract the 1st and second equations we made.
So so left sides would be
2x - (2x + 3z)
2x - 2x - 3z
-3z
right side would be:
y + z + 11 - (y + 1)
y + z + 11 - y - 1
z + 10
now put the sides with an equal sign
-3z = z + 10
-4z = 10
z = -2.5
now we can plug in z into the equations and subtract second and third equations. But but we will subtract opposite sides. So so left minus right and right mi is left after we plug in z:
(2x + 3 (-2.5)) - (x + (-2.5))
2x - 7.5 - x + 2.5
x - 5
other one would be
(y + 1) - y
1
So so put an equal sign and get:
x - 5 = 1
x = 6
now plug x and x into 3rd equation
y = x + z
y = 6 + (-2.5)
y = 3.5
now we have values. You can check answer by plugging values into other 2 equations
Answer:
(x, y) = (3, 5)
Step-by-step explanation:
Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:
Add from top to bottom:
Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:
(x, y) = (3, 5)
