Answer:
Step-by-step explanation:
formula
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = 2
x1 = - 7
y2 = -6
y1 = - 6
Solution
d = sqrt( (2 - - 7)^2 + (-6 - - 6)^2 )
d = sqrt( 9^2 + (-6 + 6)^2 )
d = sqrt(9)^2
d = 9
Answer:
True for all values of a, b and c.
Step-by-step explanation:
(a–3c)(4c+2a)+3c(a+3c)=(2a–c)(3c+5a)–8a^2
Left side:
(a–3c)(4c+2a)+3c(a+3c)
= 4ac + 2a^2 - 12c^2 - 6ac + 3ac + 9c^2
= 2a^2 + ac - 3c^2
Right side:
(2a–c)(3c+5a)–8a^2
= 6ac + 10a^2 - 3c^2 - 5ac - 8a^2
= 2a^2 + ac - 3c^2.
So we see that the left side is identical to the right side so it is true for all values of the variables.
Answer:
1) Both 15.
2) 25 and -25.
Step-by-step explanation:
1) Let the 2 numbers be x and 30 - x.
The product = x(30 - x)
f(x) = x(30 - x)
f(x) = 30x - x^2
Finding the derivative:
f'(x) = 30 - 2x
Finding the maximum:
30 - 2x = 0
x = 15.
This gives a maximum f(x) because f"(x) = -2.
So the numbers are 15 and 30 - 15 = 15.
2). If one number is x the other is y.
x - y = 50
y = x - 50
The product =
x(x - 50)
= x^2 - 50x
Finding the derivative:
2x - 50 = 0 for a minimum value.
2x = 50
x = 25.
So the numbers are 25 and 25-50 = -25.
Answer:
x= 54
Step-by-step explanation:
2x+2= 3x-52 since they are equal
sole
The AWNSER to the question is .3
