Answer:
~1.8 mile
Step-by-step explanation:
Michael lives at the closest point to the school (the origin) on Maple Street, which can be represented by the line y = 2x – 4.
This means Michael's house will be the intersection point of line y1 (y = 2x - 4) and line y2 that is perpendicular to y1 and passes the origin.
Denote equation of y2 is y = ax + b,
with a is equal to negative reciprocal of 2 => a = -1/2
y2 pass the origin (0, 0) => b = 0
=> Equation of y2:
y = (-1/2)x
To find location of Michael's house, we get y1 = y2 or:
2x - 4 = (-1/2)x
<=> 4x - 8 = -x
<=> 5x = 8
<=> x = 8/5
=> y = (-1/2)x = (-1/2)(8/5) = -4/5
=> Location of Michael' house: (x, y) = (8/5, -4/5)
Distance from Michael's house to school is:
D = sqrt(x^2 + y^2) = sqrt[(8/5)^2 + (-4/5)^2) = ~1.8 (mile)
Answer:
−11x+11
Step-by-step explanation:
Answer:
x = 19
Step-by-step explanation:
3x - 3 = 6(x - 10)
3x - 3 = 6x - 60 Use dist property
Subtract 3x from both sides
-3 = 3x - 60
Add 60 to both sides
57 = 3x
Divide both sides by 3
19 = x
Step-by-step explanation:
The history of Buddhism spans from the 6th century BCE to the present. Buddhism arose in the eastern part of Ancient India, in and around the ancient Kingdom of Magadha (now in Bihar, India), and is based on the teachings of Siddhārtha Gautama. The religion evolved as it spread from the northeastern region of the Indian subcontinent through Central, East, and Southeast Asia. At one time or another, it influenced most of the Asian continent. The history of Buddhism is also characterized by the development of numerous movements, schisms, and schools, among them the Theravāda, Mahāyāna and Vajrayāna traditions, with contrasting periods of expansion and retreat.
<h2>be brainly</h2>
Use the slope formula

and plug in the values for x and y.