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:
350,000 = three hundred fifty thousand
C, because as x increases y increases by a factor of 2. There is a constant value ( 2 ) which is being times to y in every value for x. So y is a constant multiple of x because x is always being multiplied by 2.
Yes, negative numbers cannot be prime
Answer:
Let 3rd digit be x
then 2nd digit = 4x & 1st digit = 4x-2.
It is three digit number. So, there are two case either x=1 or x=2.
Case 1,
3rd digit = 1, 2nd digit = 4 & 1st digit = 4–2=2
Hence number = 241 (ans)
Case 2,
3rd digit = 2 ,2nd digit 8 & 1st digit = 8–2=6.
Hence number = 682 (ans).
Step-by-step explanation: hope this helps :P
