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Xelga [282]
3 years ago
10

Which of the following nonlinear inequalities is graphed below

Mathematics
1 answer:
Rashid [163]3 years ago
4 0

Answer:

(x²/4) + (y²/16) ≤ 1

Step-by-step explanation:

The general form of the ellipse in the graph is

x²/4 + y²/16 = 1

we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct

Choice 1: x²/4 + y²/16 ≥ 1

Choice 2: x²/4 + y²/16 ≤ 1

we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.

try choice 1: 0²/4 + 0²/16  = 0 ≥ 1 (not valid because obviously zero is smaller than 1)  

try choice 1: 0²/4 + 0²/16  = 0 ≤ 1 (this is valid, hence choice 2  is the answer)

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Which must be true in order for the relationship △ZYV ~ △XWV to be correct?
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Hey there!

In order for two figures to be congruent, each named angle must correspond and be congruent to ONE other angle. If you have ZYV and XWV, Z must be congruent to X as they both show up first in the ordering.

This means...

∠Z≅∠X

∠Y≅∠W

∠V≅∠V

Our first answer option has to do with parallelism, which does not influence if certain angles are congruent or not.

For the second answer option, ∠Z is congruent to ∠X, not ∠Y, so it is incorrect.

For the third answer option, it shows that ∠Z would correspond to ∠V, but it does not, so it is also incorrect.

For D, ∠Z IS congruent to ∠X, and ∠W IS congruent to ∠Y

Therefore, our answer is D) ∠Z≅∠X and  ∠W ≅ ∠Y.

I hope this helps!

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2 years ago
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2 years ago
A stocker put 57 boxes of detergent on the shelves in 2 minutes. After 5 minutes, he had put 117 boxes on the shelves. How many
erastovalidia [21]
<span>57 boxes of detergent on the shelves in 2 minutes
</span><span>After 5 minutes, he had put 117 boxes on the shelves

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20 x 5 = 100 boxes of detergent 

117 - 100 = 17 boxes

answer
17 boxes of detergent <span>were on the shelves when he started</span>
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Answer:

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