X=32
Explanation:
When you change sides, if in the left side you are multiplying, when you transfer it to right side you divide. Same thing should be done for addition subtraction.
So /-4 was division and negative number
When we transfered it, it became positive multiplication number
Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.
Answer:
7
Step-by-step explanation:
We have that x1=−1, y1=5, x2=3, y2=7.
Plug the given values into the formula for a slope: m=7−(5)3−(−1)=12.
Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).
b=5−(12)(−1)=112
Finally, the equation of the line can be written in the form y=b+mx:
y=112+x2
ANSWER
9 / 5/8 =
9/1 / 5/8 =
9/1 * 8/5 = 72/5 = 14 2/5
