Since the slope is rise/run, 1/6 goes up one, right 6. Perpendicular is opposite that. so a slope of -6 goes down 6 and right 1. (as a fraction it's -6/1)
Answer:
Step-by-step explanation:
first of all the question is wrong 1 kilogram = 2.2046 pounds. and 1 pound = 0.4536kilogram.
if we want to convert 112lb into kilogram. we multiply it by 0.4536.
ie 112lb = 112x0.4536kg = 50.8032kg
to convert lb to kg you do this; lb x 0.4536
to convert kg to lb you do this; kg x 2.2046
Answer:
y = |x| -13
Step-by-step explanation:
recall for any function y = f(x), to translate the function vertically by any value "a", we simply have to add "a" to f(x).
If a is positive, then the graph is translated in the positive y-direction (i.e upwards), if a is negative, then the graph is translated in the negative y-direction (i.e downwards)
In our case , the graph is translated vertically by 13 units (i.e a = 13) and it is to be translated downwards (i.e negative)
hence we add a= -13 to the original function.
y = f(x) + (-13)
y = |x| + (-13)
y = |x| -13
Answer:
13.9 ft
Step-by-step explanation:
use Pythagoras theorem
surface²=7²+12²
surface²=193
surface=√193=13.89 ft≈13.9 ft
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Answer:
f(x) = 4*(x+2)*(x-4) factorized formula
f(x) = 4x^2 - 8x - 32 polynomical formula
Step-by-step explanation:
Lets assume the factorized formula of a quadratic function:
f(x) = a*(x-x1)^2 * (x-x2)^2
where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:
f(x) = a*(x+2)*(x-4)
because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:
Xv=(x1+x2)/2
Xv=(-2+4)/2
Xv=1
Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.
Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.
-36 = a*(1+2)*(1-4)
-36 = a*(3)*(-3)
-36 = a*(-9)
4 = a
Finally the equation is:
f(x) = 4*(x+2)*(x-4)
if we expand this function we find the polynomical form of this function
f(x) = 4x^2 - 8x - 32
