Ben has a collection of 812 stamps. He gives his brother 345 stamps. About how many stamps Ben have left?
2 answers:
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Answer:
a. From the origin, move back 3 units and down 4 units
Step-by-step explanation:
Given:
The coordinates of a point in a 3-dimensional space is given as:
(-3, -4, 0)
The value of 'x' = -3
The value of 'y' = -4
The value of 'z' = 0
At the origin, the values of 'x', 'y', and 'z' are each equal to 0.
So, the coordinates of origin is (0, 0, 0). In order to reach the point (-3, -4, 0) from the point (0, 0, 0), we don't move along the z-axis as the 'z' value remains the same. We need to move along the 'x' and 'y' directions only.
Now, 'x' is equal to -3. Negative values of 'x' occur backwards from origin. So, we move back by 3 units. to reach the point (-3, 0).
Now, the value of 'y' is -4. Negative values of 'y' occur below the origin. So, we move down by 4 units to reach the point (-3, -4).
Therefore, the correct option is option (a)
A graph in 2 dimensional is shown in support of the answer.
Answer:
the center is (-4,7) and the radius is 3
Step-by-step explanation:
The center of a circle can be found using the equation and is (h,k) from it. Notice h and k are the opposite value as in the equation.
First write the equation in this form.
Complete the square with each variable to find what numbers should go in place of the question marks.
Add 16 and 49 to both sides of the equation.
So the center is (-4,7) and the radius is 3.