Divide 252 by 21.
21 times 12 = 252
12 is 9 units shorter than 21.
so the answer is 12 inches by 21 inches
you work backwards from the area
area = width times length
a = wl
we know w is 9 units shorter than the length
so now we have the equation 252=(l-9) times l
plug in 21 for l and then solve there is your answer.
The equation and steps are...
First, find the slope of the original equation. In this case, the slope is -8. You know that perpendicular lines have slopes that are negative reciprocals, so the negative reciprocal of -8 is 1/8.
Now, use this new slope and the given point to find the y-intercept:
y = mx + b
4 = (?)(2) + b
4 = ? + b
15/4 = b
Use the new slope and y-intercept to write the new linear equation:
Answer:
y = 1/8x + 15/4
Sorry if i'm wrong
seemed easy
So the equation to find the discriminant is
, with a = x^2 coefficient, b = x coefficient, and c = constant. Using that formula, our equation is 
- Firstly, solve the exponent and multiplications:

- Next, do the subtraction, and your discriminant is -23.
Now because the discriminant is <u>less than zero</u>, there are <u>no real solutions.</u>
The Prime Factorization is:
2 x 3 x 17 x 23
In Exponential Form:
21 x 31 x 171 x 231
CSV Format:
2, 3, 17, 23
Prime Factors Tree
2346
/ \
2 1173
/ \
3 391
/ \
17 23