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Leya [2.2K]
3 years ago
12

Kayla purchased a used truck that had 27,544 kilometers on it. Later on, she sold the truck when it had 80,452 kilometers on it.

How many kilometers did Kayla put on the truck
Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

Kayla put 52,908 km on the truck.

Step-by-step explanation:

Subtract 27,544 km from 80,452 km to answer this question:

 80,452 km

- 27,544 km

-------------------

 52,908 km

Kayla put 52,908 km on the truck.

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Checking for each option

Option A: A(w) = -w^2+200w

Substitute w = 10 and check if we'd get 900 as the answer
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Option B: A(w) = -w^2+100w
Substitute w = 10 and check if we'd get 900 as the answer
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Option C: A(w)=w^2+40w
Substitute  w = 10 and check if we'd get 900 as the answer
A(10) = 10^2+40(10)=100+400=500

Option D: A(w) = w^2+90w
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The coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

<h3>What is a transformation?</h3>

A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

<h3>The types of transformation.</h3>

In Geometry, there are different types of transformation and these include the following:

  • Dilation
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Based on the information provided, triangle UVW would be rotated counterclockwise through an angle of 270 degree at origin to produce triangle U'V'W', we have:

\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]

Therefore, the image of triangle UVW would be given by this matrix:

\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right] \left[\begin{array}{ccc}-3&8&6\\8&4&-8\end{array}\right]

Image = \left[\begin{array}{ccc}8&4&-8\\3&-8&-6\end{array}\right]

Based on the image above, we can logically deduce that the coordinates of triangle U'V'W' include U'(8, 3), V'(4, -8) and W'(-8, -6) and this is represented by graph A shown in the image attached below.

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