Answer:
170/30 inches Larger Lizard
Step-by-step explanation:
Small lizard 5/6 inches long
Larger lizard 6 4/5 times (x) larger than the small lizard 5/6 inches long
Step 1. Try to make everything the same before doing anything else. You can do this by getting rid of the whole number in 6 4/5 :
Use the denominator of this equation 6(4/5 ), which is 5, with the whole number (6) and then the add the numerator (4) to it. Example, 5x6= 30, 30+4=34 , you now have 34/5 . Now it is the same as 5/6
Since the size of the larger lizard is 34/5 longer than the size of the small lizard, all you have to do is multiply the fractions together to get your answer;
(5/6) x (34/5)= Numerator 5x34=170 , Denominator 5x6=30
Your answer is: Numerator/Denominator ===> 170/30
The larger lizard is 170/30 inches long or, 17/3 inches long.
Absolute value of 7. Any real numbers in the absolute sign would equal to the positive value.
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If we substitute x = 7 in. Answer by using the definition of absolute value. Note that we only substitute x = 7 in x and not -x since 7 is greater than 0 and not less than 0.

You may also be wondering what will happen if we substitute x = any negative numbers.

Because -7 is less than 0. We substitute in -x and not x. This is the definition of absolute value. But to understand it easily, any numbers in absolute value have to equal to their positive value.
Conclusion
- |7| means the absolute value of 7.
- |7| is 7.
- |x| is x when x ≥ 0 but -x when x < 0
Let me know if you have any doubts regarding the absolute value through comment!
140 quarts of oil
49 quarts÷7 cars=7 quarts per car
7 quarts×20 cars=140 quarts
Answer: Focus = (-2, 3)
<u>Step-by-step explanation:</u>

First let's find the vertex. We do that by finding the Axis-Of-Symmetry:

Then finding the maximum by inputting x = -2 into the given equation:

The vertex is: (-2, 4)
Now let's find p, which is the distance from the vertex to the focus:

The vertex is (-2, 4) and p = -1
The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)
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Step-by-step explanation: