Q1)
Rx = 3
in this reflection, the image has been reflected along the x = 3 line. then all the points on the image are reflected along this vertical line. the distance between each point and the vertical line is noted and by that same distance its moved to the opposite side of the vertical line, while the y coordinates stay the same.
A(2,-5)- x coordinate is 2, its 1 unit away from x=3, it should move by 1 unit to the other side of x = 3, then x = 4. y stays as it is.
A' - (4,-5)
B(-4,6) - distance from x = 3, is (-4-+3) is seven units, moves by 7 units to the other side
B' (10,6)
C(3,1) = distance from 3 = 0, therefore the point stays at is,
C' (3,1)
Q2)
next is a translation, in translation the size nor shape changes, each point in the original image moves the same distance in the same direction.
T (3,-6) (x,y) = this means that the x coordinates move by +3 points to the right and y coordinates move downwards by 6 units
A (2,-5) ---> (2+3,-5-6)
A' (5,-11)
B (-4,6) ---> (-4+3,6-6)
B' (-1,0)
C (3,1) ---> (3 + 3, 1-6)
C' (6,-5)
Q3)
r(90°,0)
this is a rotation done in the clockwise direction. then the image takes a rotation to the right direction around the origin.
then the x, y coordinates of the preimage become ;
(x,y) = (y,-x)
A(2,-5) --> A' = (-5,-2)
B(-4,6) ---> B' = (6,4)
C(3,1) ---> C' = (1,-3)
Correct answer is the one you put
Answer:
The equation that can be solved to find the number of nails in each box =
5x = 460
The number of nails in each box = 92 nails
Step-by-step explanation:
A carpenter bought 5 identical boxes of nails. She used 25 nails for a project and now has 435 nails left. Which equation can be solved to find the number of nails in each box.
Let the number of nails in each box be represented by x
Therefore our Equation =
5x = 25 + 435
5x = 460
Solving for x
5x/5 = 460/5
x = 92 nails
Therefore, the number of nails in each box = 92 nails
(9.45·10^15 meters)/(3.15·10^7 seconds) = 3·10^8 meters/second
Answer:
$656.77 is left
Step-by-step explanation:
-$1,500 budget
Spends: $225.30, $482.25, 135.68.
Now subtract all these values with 1,500.
1500 - 482.25 - 225.30 - 135.68 = 656.77