Good question i just can't figure it out!
<h2>
Hello!</h2>
The answer is:
a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:

and rounding to the nearest tenth, we have that:

<h2>
Why?</h2>
To solve the problem, we need to remember the following property of square roots:

We are given the expression:

We can rewrite it by the following way:

Now, applying the square root property we have:

Therefore,
a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:

and rounding to the nearest tenth, we have that:

Have a nice day!
As the complete angle is right angle that is 90°
So both the angles should add up to 90°
(3x+2) + (x+16)=90
combine the like terms
4x+18 = 90
Subtract 18 from both sides
4x= 72
divide both sides by 4
x=18
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Ratio of sapphires to emeralds = 3:1
Let the number of sapphires be 3x.
Let the number of emeralds be 'x'.
According to question, if 6 emeralds are added, we get that

So, Number of sapphires = 3×3 = 9
Number of emeralds = 3
So, total emeralds would be 3+ 6 = 9.
Hence, option 'A' is correct.
Answer:
x = 7
y = -3
Step-by-step explanation:
x + y = 4 (Multiply this by 9)
-9x + 7y = -84
9x + 9y = 36
-9x + 7y = -84
16y = -48
y = -3
x + y = 4
x - 3 = 4
x = 7