Hey there :)
We can solve 2 ways: With a calculator and Without
With:
√53 = 7.28
Therefore this lies between 7 and 8
Without:
6² and 7² = 36 and 49
Still, the values are less than 53, which means √53 does not lie between 6 and 7
7² and 8² = 49 and 64
53 is between both values, therefore √53 lies between 7 and 8
Your answer will be option B) 7 and 8
4) 4 1/5
5) 6 2/9
6) -6
To solve for these, just divide the most you can and then put the amount that you couldn’t divide anymore on top of the fraction. For example, 4 is the farthest I could divide and I put the 1 as a fraction of 5 as that is what was left.
Answer:
Option A, Left by 4 units
Step-by-step explanation:
<u>Step 1: Convert g(x) to a function square</u>
We currently have g(x) in this order: 
However, we want g(x) to be in this order: 
The first thing we have to do is to factor it out:



<u>Step 2: Now we can see which way we need to move it</u>
The original form is: 
Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.
Answer: Option A, Left by 4 units
<em>Look at the graphs below to make sure:</em>
<span>The answer is AAS. </span><span>Angle Angle Side </span>postulate<span> </span><span>states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.</span>
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