Answer:
2x-3/y-5/37=0
Step-by-step explanation:
here, given equation of line is
y=3/2x+3
or,y(2x+3)=3
or,2x+3=3/y
or,2x-3/y+3=0...eqn(i)
equation of any line parallel to line (i) is
2x-3/y+k=0.. eqn(ii)
since, the line passes through (4,5)[replacing x=4 and y=5 in eqn(ii), we get]
2*4-3/5+k=0
or,8-3/5+k=0
or,40-3/5+k=0
or,k=-5/37
substituting the value of k=-5/37 in eqn(ii)
2x-3/y-5/37=0 is the required equation of line.
Answer:
the seven consecutive numbers would be 23 24 25 26 27 28 29
Step-by-step explanation:
The radicand of a quadratic is b^2-4ac.
If it is greater than zero, there are two real solutions
If it is equal to zero, there is one real solution
If it is less than zero, there are no real solutions (though there are two imaginary solutions)
In this case the discriminant is 256-2160 so it is less than zero.
Therefore there are no real solutions, though there are two imaginary solutions, specifically (16±i√-1904)/18
The equation that relates y, the amount of yellow paint in liters, and b, the amount of blue paint in liters, needed to make the Green Goober's special green paint is y + b = 888
<em><u>Solution:</u></em>
Given that the Green Goober mixes 333 liters of yellow paint with 555 liters of blue paint to make 888 liters of special green paint for his costume.
Let "y" be the amount of yellow paint in liters needed to make the Green Goober's special green paint
Let "b" be the amount of blue paint in liters needed to make the Green Goober's special green paint
<em><u>The required equation is:</u></em>
amount of yellow paint in liters + amount of blue paint in liters = Green Goober's special green paint
y + b = 888
Where y = 333 liters and b = 555 liters ( from given information)
Thus the equation is found
Answer:
<em>A≈606.32</em>
Step-by-step explanation:
you need to use this equation: A=πr(r+h^2+r^2) to figure it out...
just plug your length, height, and radius in, and u have ur answer!!
ur answer shud be <em>A≈606.32</em>
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Hope this helps!!
