More information is needed to answer you.
Answer:
6s + 2s - 3s - 6:
5s-6
10t - 4t -6 + 5t:
11t-6
18r + 18r + 9r - 3r:
42r
20 - 4q + 40r - 16:
-4q+40r+4
17st - 16s + t:
17st-16s+t
. 101+101x - x:
101+100x
16a2 - 14a + a2 - 3a:
14 ato the power of 2- 17a
14t + 14t + t:
29t
r + s + rs + s + rs + s:
r+2rs+3s
54 pt - 3p + 4t - 3pt:
51pt-3p+4t
i dont know 11
101c - 5c +4c:
100c
12q - 4 + 10q - 4q +9:
18q+5
21k - 20k + 3k:
4k
181x + 91x - 23x:
249x
Step-by-step explanation:
9514 1404 393
Answer:
C. 3√2 units
Step-by-step explanation:
The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.
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If you like, you can see this using the Pythagorean theorem.
d² = s² + s² . . . . . where d is the diagonal, and s is the side
d² = 2s²
d = √(2s²) = s√2
For s=3, ...
d = 3√2
Answer:
we have:
8x³ + mx² - 6x + n
= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n
= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)
= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)
because the remainder if divided by (x-1) is 2
=> m + n + 2 = 2
⇔ m + n = 0 (1)
we also have:
8x³ + mx² - 6x + n
= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m + 18) + n +9/4m + 18
= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18
= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18
because the remainder if divided by (2x - 3) is 8
=> 9/4m + n + 18 = 8
⇔ 9/4m + n = -10 (2)
from (1) and (2), we have:
m + n = 0
9/4m + n = -10
=> m = -8
n = 8
Step-by-step explanation:
