Answer:
d = 5.10
Step-by-step explanation:
The distance between two points is given by
d = sqrt( ( y2-y1)^2 + ( x2-x1)^2 ) where ( x1,y1) and ( x2,y2) are the two points
d = sqrt( ( 5-6)^2 + (8-3)^2 )
d = sqrt( ( -1)^2 + (5)^2 )
d = sqrt( 1+25)
d = sqrt(26)
d = 5.099019514
Rounding to the nearest hundredth
d = 5.10
Answer:
(-2,0)
Step-by-step explanation:
remember the rule for 90 degree clockwise is (-y,x) opposite y and x
the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative
Hope this helps dude, I'm also learning this in online school lol. ^-^
Is there a picture for the question
Answer:


Step-by-step explanation:
Let x be the number of adult tickets and y be the number of children's tickets.
We are given that there are total 12 people. Therefore, we can set:

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be
and cost of y children's ticket will be
. We can form the second equation by setting the total cost of tickets as:

Therefore, the required system of equations that could be used to find x and y will be:


Ok, to solve an algebraic equation we need to get the unknown by itself on one side of the equals sign. To do that, basically we just have to cancel everything else out... but whatever we do to cancel out what we don't want, we also have to do on the other side of the equals sign...
3x + 1/10 = x - 1/7
Let's start by getting the x on the right over to the left side. To cancel it from the right side we have to subtract it (x-x = 0). Don't forget to subtract it on the left also.
3x -x + 1/10 = x - x - 1/7
Now combine like terms
2x + 1/10 = -1/7
Now let's bring the 1/10 over to the right of the equals sign to get x by itself by subtracting it.
2x + 1/10 - 1/10 = -1/7 - 1/10
Combine like terms
2x = -1/7 - 1/10
Let's get a common denominator so we can combine the fractions
2x = -10/70 - 7/70
2x = -17/70
Now divide both sides by 2 to finish getting x by itself. To divide fractions, multiply the reciprocal.
x = -17/70 x 1/2
x = -17/140