Answer:
If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.
As a verification, we find the locations of V and U from rotations of R & S.
(actually, the triangle had been rotated -90°, 90 ° clockwise)
Step-by-step explanation:
Slope RS, m1:
Slope VU, m2
Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected
Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = - 6
Answer:
Step-by-step explanation:
(2n³ - 3n⁴ + 7n) - (n³ - 8n⁴ - 7n) = 2n³ - 3n⁴ + 7n - n³ + 8n⁴ + 7n
{Here -1 is distributed }
= <u>2n³ - n³</u> -<u> 3n⁴ + 8n</u>⁴ +<u> 7n + 7n</u>
{Combine like terms}
= n³ + 5n⁴ + 14n
Answer:
C (7 hours)
Step-by-step explanation:
366 divided by 6 = 61
(This proves they are going 61 mph)
427 divided by 7 = 61
Answer:
No
Step-by-step explanation:
The definition of a prime number is a number that only has factors of 1 and itself. So there are only 2 factors.
4 has 3 factors: 1, 2, and 4. It has factors of 1 and itself (4), but also has an extra factor (2), so 4 is not a prime number