System: x + y = 44; x = 2y + 2
Solve with substitution: x = 30; y = 14
x + y = 44
x = 2y + 2
Substitute 2y + 2 for x
2y + 2 + y = 44
3y + 2 = 44
Subtract 2 on both sides.
3y = 42
y = 14
Now substitute back in.
x + 14 = 44
Subtract 14 on both sides.
x = 30
Answer:
6z+7
Step-by-step explanation:
Answer: Rotations, reflections, translations (A, C, and E)
Imagine you had a camera aimed at a triangular figure on a piece of paper. If you rotate the camera, then the image of the triangle appears to rotate. In reality it's the other way around. What this means is that the triangle is not changing at all. It keeps the same size, shape, area, perimeter, etc. This applies to when the camera pans left or right, ie shifts from side to side. The triangle will translate but again the triangle isn't changing at all. It's merely an illusion. Reflections are the same way. Imagine having a piece of glass or a mirror that reflects the image which is an identical copy; although everything is flipped.
Dilations are not isometries because the image is a different size then the pre-image. The same shape is maintained though. Note: the scale factor must be some number other than 1.
another note: "isometry" breaks down into "iso+metry" with "iso" meaning "same" or "equal", and "metry" meaning "measure". So if you had 2 identical yard sticks, then they are isometrical or equal in length.
Answer:
=125
Step-by-step explanation:
5−7)(512)(5−2)
=
1
78125
(512)(5−2)
=
1
78125
(512)(5−2)
=(
1
78125
(244140625))(5−2)
=3125(5−2)
=3125(
1
25
)
=125
Given:
A car dealer acquires a used car for $14,000, with terms FOB shipping point.
Transportation cost = $100
Shipping insurance = $120
Car import duties = $970
To find:
The total inventory costs assigned to the used car.
Solution:
We know that,
Inventory costs = Value of used car + Transportation cost + Shipping insurance + Car import duties
Inventory costs = $14,000 + $100 + $120 + $970
Inventory costs = $15,190
Therefore, total inventory costs assigned to the used car is $15,190.
