Answer:
2/3
Step-by-step explanation:
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:
x > 12
Step-by-step explanation:
9x>108
x> 108/9
x > 12
x = 1
Step-by-step explanation:
Given data: 
Recall: If f(x) = 0, then x is called the zero of the function.
To find zero of the function, take f(x) = 0.
Add 6 to both sides of the equation.
Divide both sides of the equation by 3.
Taking square on both sides of the equation.
⇒ x + 3 = 4
⇒ x = 1
Hence, the zero of the function is 1.
Answer:
$120
Step-by-step explanation:
$1,440/12= $120
Hope this helps :)
