If g(x) = -2x - 2, find g(-2x).
1 answer:
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Answer:
A. 4".
B. Approximately 9.54".
C. Approximately 13.54".
Step-by-step explanation:
Please find the attachment.
Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.
We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.
A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.
We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.
We can find the value of x using Pythagorean theorem as:
Upon taking square root of both sides of our equation we will get,
Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.
B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.
We can find the value of y using Pythagorean theorem as:
Upon substituting our given values we will get,
Upon taking square root of both sides of our equation we will get,
Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.
C. We can see from our diagram that the length of longer diagram will be the sum of x and y.
Therefore, the length of longer diagonal is approximately 13.54 inches.
Hey there,
Let's remember that a (inequality symbol) is things like (<), (>), (≤),(≥), (≠).
So, I believe that (-3x+7) and (-10-2) are separate. So we will find that out :)
Let's first do (-3x+7). As simplifying this expression here, we take that "x" of for a while and just stick to (-3+7).
-3
+ 7
______
4
Let's bring that "x" back, and the answer would be 4x for a while.
So far, 4x is the answer.
_____________________________________________________________
Now, Let's work on the other side.
We are talking about (<span>-10-2)
-10
- 2
_______
</span> -12
So, by solving the answer to (-10-2), we got -12.
So, let's determine what is greater . . . . .
-12 or 4.
-12 is on the negative side, and the number 4 is positive. This would conclude that 4 is great than -12.
Your correct answer would look like . . .
<span>(-3x+7) > (-10-2)
</span>
I really hope this helps you alot.
~Jurgen
Let's remember that a (inequality symbol) is things like (<), (>), (≤),(≥), (≠).
So, I believe that (-3x+7) and (-10-2) are separate. So we will find that out :)
Let's first do (-3x+7). As simplifying this expression here, we take that "x" of for a while and just stick to (-3+7).
-3
+ 7
______
4
Let's bring that "x" back, and the answer would be 4x for a while.
So far, 4x is the answer.
_____________________________________________________________
Now, Let's work on the other side.
We are talking about (<span>-10-2)
-10
- 2
_______
</span> -12
So, by solving the answer to (-10-2), we got -12.
So, let's determine what is greater . . . . .
-12 or 4.
-12 is on the negative side, and the number 4 is positive. This would conclude that 4 is great than -12.
Your correct answer would look like . . .
<span>(-3x+7) > (-10-2)
</span>
I really hope this helps you alot.
~Jurgen