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)
A. Divide both sides by 4
You want to get the value of x not 4x so in order to do that u can have divide both sides by 4 to get x alone on one side.
Lets call a to the Alonzo amount of points and m to the Miguel amount of points and write equations out of the problem's info:
a + m = 54
m = a + 4
rearrange:
<span> a + m = 54
</span>-a + m = 4
add the two equations:
<span> a + m = 54
</span><span>-a + m = 4
</span>-----------------
0 + 2m = 58
m = 29
and susbstitute in the first equation:
<span>a + m = 54
</span>a + 29 = 54
a = 54 - 29
a = 25
therefore Alonzo scores 25 points and Mike 29
Lineare means it is in a straight line aka highest exponent on any placeholder is 1
y=2^2-4
y^1=2^2-4
yep
answer is this is linear
Answer:
see photo attached for your reference.
Step-by-step explanation:
15.50 (to the nearest hundredth)
