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valentina_108 [34]
3 years ago
11

What is the correct description for the graph of the inequality, y < 42 – 3?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0
Answer: The graph is a solid line. The test point (0,0) does not satisfy the inequality.


Explanation:
The line is solid because it is less than or EQUAL TO. The test point does not satisfy because if you replace y and x with 0, it will not be true. 0 is not less than or equal to -3, therefore (0,0) does not satisfy the inequality.
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Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using Pythagoras theorem to solve this problem. This is as this problem forms a right-angle triangle. Pythagoras theorem is the following:

a^2 + b^2 = c^2

Where c = hypotenuse of right-angle triangle

Where a and b = other two sides of right-angle triangle

To begin with, we will substitute the values from the problem into the equation. Then we will make the height of the tree the subject of the equation.

a = height of tree = ?

b = distance from the bird on the ground to the base of the tree = 8 metres

c = distance bird travelled from the ground to the top of the tree = 9 metres

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 = 9^2 - 8^2

a = square root of ( 9^2 - 8^2 )

a = square root of ( 81 - 64 )

a = square root of ( 17 )

a = 4.123...

a = 4.1 ( rounded to the nearest tenth )

FINAL ANSWER:

Therefore, the height of the tree is 4.1 metres ( rounded to the nearest tenth ).

Hope this helps! :)
Have a lovely day! <3
3 0
3 years ago
In the trapezoid below, x = [ ? ].<br> 2x+6<br> I<br> 5x=20<br> 4r+2
KonstantinChe [14]

Answer:

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Step-by-step explanation:

To get the value of x, we use the mid-segment theorem of trapezoid

The theorem is that the mid-segment is half the sum of the other two segments

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;

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