Answer:
=5sqrt(2)
Step-by-step explanation:
The length of a line segment is given by
d = sqrt( (x2-x1)^2 + (y2-y1)^2 )
= sqrt( (9-2)^2 + (8-5) ^2)
= sqrt(7^2 + 3^2)
= sqrt(49+9)
= sqrt(50)
=sqrt(2*25)
We know that sqrt(ab) = sqrt(a)sqrt(b)
sqrt(25)sqrt(2)
=5sqrt(2)
5 squared + 12 squared = 169 and the square root of 169 is 5. The length of AB is 5.
So if the number is positive then the opposite is negative, vice versa.
opposite of 4 is -4
opposite of -5 is 5
Answer:
x=6
Step-by-step explanation:
Since y=7 when x=2, we can from here simplify and see that y=3.5 when x=1. If y=21, then we multiply 7 by 3 which is 21, and since we must keep a proportion, we must multiply 2 by 3 and get 6 as the answer.
First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form
maximum=(3,14)
