Answer:
Step-by-step explanation:
By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: 
, or equivalently, 
.
Given our linear equation 3x + y = 3 (or y = -3x + 3):
We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is 
.
To test whether this is correct, we can take first slope, 
, and multiply it with the negative reciprocal slope 
:
Therefore, we came up with the correct slope for the other line, which is .
Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:
There are only 2 perfect cubes in between 1000 and 2000.
11^3 = 1331
12^3 = 1728
Answer:
1/32
Step-by-step explanation:
We can break this question down. If we had 1 person and they are right-handed, the probability is 1/2 because they are either left-handed or right-handed. Knowing that, we can multiply the probability of having 1 person being right-handed 5 times because there are 5 people in the question.
1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/(2⁵) = 1/32
Therefore, the probability of randomly selecting 5 people who are right-handed is 1/32.
I hope this helps and please mark me as brainliest!
Answer:
YZ = 18.4 in
Step-by-step explanation:
The midsegment YZ is half the length of the third side VX , then
YZ = 
× 36.4 = 18.2
