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slava [35]
2 years ago
12

Determine whether (3,2) is a solution of y = 3x +2.​

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
6 0

Answer:

This point is not a solution to the equivalence

Step-by-step explanation:

Becouse if we put x= 3 then y= 11

y = 3 \times 3 + 2 = 11

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Enter a range of values for x.<br> 85°<br> 25<br> 5x - 10<br> [ ? ] Enter
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<h3>Answer: 2 < x < 7</h3>

==================================================

Explanation:

We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.

Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)

In symbols we say

5x - 10 < 25

We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.

Put the two inequalities together and we get 0 < 5x - 10 < 25

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

Solve for x

0 < 5x - 10 < 25

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10/5 < 5x/5 < 35/5 ... dividing all sides by 5

2 < x < 7

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