Answer:
y = -1/3 x + 32/3
Step-by-step explanation:
Find an equation of line L
Given the equation bog L1 as y ,= 3x-4
The slope of the line L1 is 3
Since both lines are perpendicular, the product of their slope is -1, hence ;
LL1 =-1
3L = -1
L = -1/3
Slope of the required line is -1/3
Get the equation in point lope form
y-y0 = m(x-x0)
y-9 = -1/3(x-5)
3(y-9) = -(x-5)
3y-27 = -x+5
3y = -x+5+27
3y = -x+32
y = -1/3 x + 32/3
This gives the required equation
Answer: -6<x<2
Step-by-step explanation:
Answer:
499/999
Step-by-step explanation:
The decimal number written is:
0.499...
Such that these 3 decimals are repeated as:
0.499499499...
Let's define this number as k
k = 0.499...
Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)
we get:
1000*k = (1000)*(0.499...) = 499.499...
Now we can subtract the original number k, so we get:
1000*k - k = 499.499... - 0.499...
In this way, we remove the part after the decimal point:
1000*k - k = 499.499... - 0.499...
(1000 - 1)*k = 499
999*k = 499
Now we can divide both sides by 999
(999*k)/999 = 499/999
k = 499/999
The fraction notation of our number is 499/999 (and this is the simplest form)
Answer:
m∠t = 143°
m∠x = m∠t
<em>i'm jus</em><em>t</em><em> </em><em>ordinary human, CMIIW</em>