Answer:7 minutes
Explain:I now
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:
Your answer is D) 8 pints
Step-by-step explanation:
I multiplied 4 by 2 and got 8 when I looked at the problem it only said pints and not cups
First, find the slope of the line y-Ax=B
y=Ax+B, so the slope is A, which is a constant.
Because the new line is parallel to the given line, so the slope is also A.
Next, write the new line in point-slope form:
(y-3)=A(x-(-7)) =>y-3=A(x+7)
You can write it into slope-intercept form if needed: y-3=Ax+7A =>y=Ax+7A+3
or standard form: y-Ax-7A-3=0
