Which vectors represent the reflection of the vector across the x-axis?
1 answer:
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Answer:
1st number = 18
2nd number = -5
Step-by-step explanation:
Let x be first number and y be the 2nd number.
We have been given that first number plus twice a second number is 8. We can represent this information as:
We are also given that twice the first number plus the second totals 31. We can represent this information as:
Now let us solve our system of equations using substitution method.
From equation (1) we will get,
Substituting in equation (2) we will get,
Therefore, the second number is -5.
Now let us substitute y=-5 in equation (1).
Therefore, the first number is 18.
Answer:
The area of the copper circle is <u>31.4 inches</u>.
Step-by-step explanation:
Given:
An artist used silver wire to make a square that has a perimeter of 40 inches.
She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.
Use 3.14 to represent π.
Now, to find the area of the copper circle.
Perimeter of square = 40 inches.
So, we get the side of square by putting formula:
Dividing both sides by 4 we get:
Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:
For getting the area of circle we find the radius:
Radius (r) =
Now, putting the formula to get the area of the circle:
Therefore, the area of the copper circle is 31.4 inches.