ANSWER
EXPLANATION
The given point has coordinates A(-2,-3).
The rule for the reflection across the y-axis is
We apply this rule to obtain the coordinates of B.
Simplify the coordinates of B to get:
The rule for reflection across the x-axis is
When the point A(-2,-3) is reflected across the x-axis to obtain C, then the coordinates of C are:
D(AB) = <span>√(6-0)^2 +(3-0)^2
d(AB) = </span><span>√36+9
d(AB) = </span><span>√45
d(AB) = 3</span><span>√5
or
d(AB) = 6.71
hope it helps</span>
Answer: (71,19)
Step-by-step explanation:
x + y =90
x=14 + 3y or -1x +3y=-14
solve by elimination. 1x + 1y= 90
-1 +3y = -14 y=19
1x + 1(19)=90
x=71
Answer:at least $18000 dollars
Step-by-step explanation:You have to use multiplication when your question says "2 times", so you multiply 9000x2=18000
Two mechanics worked on a car.
Now, mechanic 1 has spent 5 hours working on the car.
Mechanic 2 has spent 15 hours working on the car.
Lets say mechanic 1 charged 'x' dollars per hour and mechanic 2 charged 'y' dollars per hour.
So,
that is our first equation ( 1 ):
And,
that is our second equation ( 2 ):
Using the two equations we can solve for 'x' and 'y', using our first equation we get:
On solving for 'x' and 'y' we get:
and putting the value of 'y' in the equation 2 we get:
As mentioned earlier, 'x' represents the charge that mechanic 1 charged per hour and 'y' represents the charge that mechanic 2 charged per hour.
We have and .
So, the mechanic 1 charged $75 per hour and mechanic 2 charged $80 per hour.