9514 1404 393
Answer:
Step-by-step explanation:
For there to be no solution, the lines represented by the left-side and right-side expressions must be parallel. That is, the coefficients of x must be identical,
a = c
and the y-intercepts must be different:
b ≠ d.
If 1 patch = 1/2 teaspoon
then 5 patches = x (cross multiply)
1 × x = 5 × 1/2
x = 5/2
x = 2 1/2
therefore 5 patches would use two and a half teaspoons
The information given is sufficient for this proof .
Slope of a line passing through x1 ,y1) and ( x2,y2) is given by the formula :
M = ( y2 - y1)/ ( x2-x1)
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Let us start finding the slope of line PQ
the given points are ( a,b) and ( c,d)
using the slope formula we get :
slope of line PQ = m= ( d-b) /( c-a)
Let us now try finidng slope of the another line P'Q'
It is passing through ( -b ,a) and (-d,c)
using the formula we get slope of P'Q' = m' = ( c-a) /( -d - -b)
m'= ( c-a) /( -d+b)
m'= ( c-a) / -( b-d Let us find the product of m and m' :
( d-b ) * ( c-a)
----------- ------------ = -1
(c-a) - ( b-d)
Because we got product of m and m' = -1 hence proved product of perpendicular lines are negative reciprocal of each other .
Answer:
The equation for the relationship between the weight and number of months is 
Step-by-step explanation:
we know that
A linear equation in slope intercept form is equal to
where
m is the slope
b is the y-coordinate of the y-intercept (value of y when the value of x is equal to zero)
or say b is the actual weight of the wrestler.
In this problem
m=5.5 kg/month
Let
W ⇒ the sumo wrestler's weight in kg (dependent variable)
t ⇒ the time in months (independent variable)
The linear equation is equal to
where
b is the actual weight when he started the diet.
Now Given
W = 140 kg
t = 11 months
substitute in the linear equation to find the value of b
Hence,The equation for the relationship between the weight and number of months is
