Answer:
(4 , -3)
Step-by-step explanation:
the points (3 , 5) and (3 , 7) have the same x-coordinates 3
then ,the line D joining them has the equation
D : x = 3
the image of the point A(2 , -3) under reflecting about The line D ,
lie on the line ∆ perpendicular to D and passes through A.
∆ perpendicular to D then the equation of ∆ is :
∆ : y = a ,where a is a real number.
Calculating ‘a’ :
∆ passes through A
Then
-3 = a
Therefore
the final equation of ∆ is :
∆ : y = -3
Obviously, the lines D and ∆ intersect at the point M(3 , -3)
FINAL STEP :
<u><em>Calculating the coordinates of the point B(x , y) image of the point A(2 , -3) </em></u>
M is the midpoint of the line segment AB :
Then
3 = (2 + x)/2 and -3 = (-3 + y)/2
Then
x = 4 and y = -3.
24 minutes. Assuming that 2 people who will repair a refrigerator equally fast will do it twice as fast when working together:
Jannete repairs 1/60 refrigerator per minute.
Lisa repairs 1/40 refrigerator per minute.
Togheter they repair 1/60+1/40= 1/60 + 1,5/60 = 2,5/60=5/120=1/24 refrigerator per minute
thus it will take them 24 minutes
Its a even number, and also its a whole number.
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 
x - 6 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
y = x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = x - 4 ← equation of parallel line
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Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 
, then
y = - x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = - 
+ c ⇒ c = 2 + = 
y = - x + ← equation of perpendicular line
