Answer:
HI = 8
TU = 45
Step-by-step explanation:
→ Find the scale factor enlargement
45 ÷ 10 = 4.5
→ Multiply JI by the scale factor to find it
10 × 4.5 = 45
→ Divide UV by the scale factor to find it
36 ÷ 4.5 = 8
Answer:
![{4x}^{2} + x + 3](https://tex.z-dn.net/?f=%20%7B4x%7D%5E%7B2%7D%20%20%2B%20x%20%2B%203)
Step-by-step explanation:
![\frac{ {16x}^{3} + {4x}^{2} + 12x }{4x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B16x%7D%5E%7B3%7D%20%2B%20%20%7B4x%7D%5E%7B2%7D%20%2B%2012x%20%7D%7B4x%7D%20)
![\frac{4x( {4x}^{2} + x + 3)}{4x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%28%20%7B4x%7D%5E%7B2%7D%20%20%2B%20x%20%2B%203%29%7D%7B4x%7D%20)
![{4x}^{2} + x + 3](https://tex.z-dn.net/?f=%20%7B4x%7D%5E%7B2%7D%20%20%2B%20x%20%2B%203)
Done :))
<h3>
Answer: Choice C</h3>
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Explanation:
If we plug the coordinates of point A into the inequality, then we get
y ≥ |x| + 3
6 ≥ |-3| + 3
6 ≥ 3 + 3
6 ≥ 6
Which is true. Since we're looking for a non-solution, we rule out choice A.
You should find choice B is a similar story to choice A, so we can rule this out as well.
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Choice C is the answer because
y ≥ |x| + 3
0 ≥ |-3| + 3
0 ≥ 3 + 3
0 ≥ 6
which is false.
Check out the graph below and notice how point C is not in the shaded solution region, and it's not on the boundary either. This is a visual way to quickly find the answer.
The boundary line y = |x|+3 is solid because of the "or equal to". We shade above the boundary line due to the greater than sign.