General formula of the circle
(x-a)² + (y - b)² = r²,
where (a,b) - coordinates of the center, r - radius of the circle.
(x-3)²+(y+4)²=4
(x-3)²+(y+4)²=2²
So, the center is (3, -4) and radius r = 2.
A. (3, –4); 2
Answer:
- the pattern is (hundreds, tens, ones)
- 963 thousand 104
Step-by-step explanation:
a) Each place in our decimal place-value number system has a name. In the number 356,039, the left-most digit 3 is in the hundred-thousands place, so it is read (by itself) as "three hundred thousand." Together, the digits 356 of that number signify three hundred fifty-six thousand. They are said to be in the "thousands period." Each period of three digits will be grouped like that to specify the number of hundreds, tens, and ones in the period.
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b) The given expanded form adds up to give ...
963,104
Based on the above discussion, the name of this number is ...
"nine hundred sixty-three thousand one hundred four"
Using digits to help write this, it would be 963 thousand 104.
I think that you assumed that:
2k - 1 = k + 2
However we can't do this, because a square has 4 sides whilst a triangle only has 3 sides.
This means that we can say
4(2k - 1) = 3(k + 2)
We multiply by 4 due to 4 sides of the square, and by 3 due to the 4 sides of the triangle.
Lets expand the brackets, and solve it:
4(2k - 1) = 3(k + 2)
8k -4 = 3k + 6
5k -4 = 6 ( subtract both sides by 3x to collect the x values)
5k = 10 (add both sides by 4 to get the x's alone)
k = 2 (divide both sides by 5 to get what just x is)
So k = 2 units