Answer:
Step-by-step explanation:
Let's start with function (x, y)
Transformations in the given order result in following
<u>A dilation by a factor of 4 with the origin as the center of dilation</u>
- This results in both coordinates multiplied by 4
- (x, y) → (4x, 4y)
<u>A reflection across the y-axis</u>
- This results in x-coordinate changing sign to opposite
- (4x, 4y) → (-4x, 4y)
<u>A 90° counterclockwise rotation about the origin</u>
- This results in x-coordinate swapping with negative y-coordinate
- (-4x, 4y) → (-4y, -4x)
<u>A translation 3 units down</u>
- This results in y-coordinate change by -3
- (-4y, -4x) → (-4y, 4x - 3)
<u>The final function is: </u>
Answer:
∠3 = 81
Step-by-step explanation:
Interior angles in a triangle add up to equal 180°
Hence, 58° + 41° + ∠3 = 180
58 + 41 = 99
99 + ∠3 = 180
* subtract 99 from each side *
99 - 99 cancels out
180 - 99 = 81
we're left with ∠3 = 81°
Answer:
<u><em>It has gone -160 miles.</em></u>
Step-by-step explanation:
To find the answer we will <em>multiply -40 by 4 hours</em>, and we get<em> -160 miles</em>. Therefore, the car has <em>traveled -160 miles</em>.
Answer:
look at this
o(*≧□≦)o
Step-by-step explanation:
MATH-WAY
