Answer:
392
Step-by-step explanation:
Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.
Extend lines XQ, YR, YS and XP and mark their intersection as A and B.
Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore
- all angles of the quadrilateral XAYB are right angles
- all sides of XAYB are congruent and equal to 6 + 8 = 14 units.
Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,
Answer: Options 1, 3, 5
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals, so since the slope of the given line is 1/3, we need to find lines with a slope of -3.
- Option 1 has a slope of -3.
- Option 2 has a slope of 3.
- Option 3 has a slope of -3.
- Option 4 has a slope of 1/3.
- If we subtract 3x from both sides, we get y=-3x+7, so option 5 has a slope of -3.
Answer:
Step-by-step explanation:
The y-intercept cannot be (2,-8). The x-coordinate of the y-intercept is 0.
Point-slope equation for line of slope -5 that passes through (2,-8):
y+8 = -5(x-2)
Answer:
Step-by-step explanation:
Given that sample size = n=45
mu = 64 and sigma =14
a) Sample mean will follow a normal distribution irrespective of the original distributions provided
i) samples are randomly drawn
ii) samples represent the population
iii) Sample size is sufficiently large
b) Here we have sample std dev= 

c) 