Answer:
The answer should be "Outlier".
First, start off by listing a few of the numbers that follow the first three clues to see if you can narrow it down.
7,111,111
7,333,333
7,555,555
etc.
Then, start adding up digits to see if you're getting close.
7+1+1+1+1+1+1 = 13
7+3+3+3+3+3+3 = 25
7+5+5+5+5+5+5 = 37
Since 7,555,555 is too high, we step it down to 7,555,333
7+5+5+5+3+3+3 = 31
7,555,333 will work as an answer, as well as 7,333,555, since it's the same amount when the digits are added together.
Answer:
Compare the given equation of the circle (x - 1)² + (y -2)² = 2²
with standard form of circle: (x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle
and r is the radius of the circle.
Thus, The center of the circle is: (1, 2)
Also, for finding the point of intersections of (x - 1)² + (y -2)² = 2² and y = 2x + 2,
Substitute the value of y from equation of line in the equation of circle.
(x - 1)² + (2x + 2 - 2)² = 2²
⇒ (x - 1)² + (2x)² = 2²
⇒ x² + 1 - 2x + 4x² = 4
⇒ 5x² - 2x - 3 = 0
Applying Middle term splitting method
5x² - 5x + 3x - 3 = 0
⇒ 5x(x - 1) + 3(x - 1) = 0
⇒ (5x + 3)(x - 1) = 0
⇒ x = and x = 1
Thus, we get coordinates: and (1, 4)
opposite means the sign changes (from positive to negative or vice versa)
since a rational number includes both positives and negatives, then the opposite of a rational is also a rational.
For example: is a rational number. Its opposite is , which is also a rational number.
Hope this helped!
Answer: YES
For this case we must solve the following equations:
We subtract 3x on both sides of the equation:
We subtract 7 on both sides of the equation:
We divide between 2 on both sides of the equation:
The second equation is:
We apply distributive property to the terms of parentheses:
We add common terms:
We add 10 to both sides of the equation:
We divide between 5 on both sides of the equation:
Third equation:
We apply distributive property to the terms within parentheses:
We add similar terms:
We subtract 6x on both sides of the equation:
We subtract 5 on both sides of the equation:
Answer: