Since T is the midpoint of PQ, this means that PT and TQ must be equal to each other. Make them equal to each other in an equation.
PT = TQ
4x + 2 = 7x - 7
- Subtract 2 from both sides.
4x = 7x - 9
- Subtract 7x from both sides.
-3x = -9
<u>x = 3</u>
- Now substitute 3 for x into PT.
PT = 4(3) + 2
<h3>PT = 14</h3>
The equivalent ratios of mammals to birds at the zoo are;
1) 32 to 28
3) 24 to 21
We are given the ratio of mammals to birds at the zoo as; 96 : 84
<h3>Equivalent Ratios</h3>
To get the possible equivalent ratios, we need to first of all list out all the factors of 96 and 84.
- Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Factors of 84: 1, 2, 3, 4, 6, 14, 21, 28, 42, 84.
Now, from the factors listed above, if we divide both 96 and 84 by 3, we will arrive at a ratio of;
32:28
Likewise,if we divide both by 4 we will get;
24:21
In conclusion, the only equivalent ratios are 32:28 and 24:21.
Read more about ratios at; brainly.com/question/2784798
See below for the description of changes when the dependent and the independent variables are switched
<h3>How to determine the changes?</h3>
<u>The table of values</u>
When the dependent and the independent variables are switched, the values also become switched on the table.
This means that the table becomes an inverse table of the function
<u>The scatter plot</u>
Switching the variables implies that the original function is being reflected across the line y = x
<u>The description in words</u>
This description is an inverse relation of the original function
<u>The equation</u>
This description is an inverse equation of the original function.
If the initial equation is y = ax + c, the new equation becomes x = ay + c
Read more about functions and relations at:
brainly.com/question/2253924
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(7,-1)
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