The difference of two numbers is 2 an of the product is 41.25.
1 answer:
Let
x---------------> first number
y--------------> second number
we know that
x-y=2-------------> x=2+y-----------------> equation 1
x*y=41.25------------------> equation 2
substituting 1 in 2
(2+y)*y=41.25-------> y²+2y-41.25=0
using a graph tool----------> to resolve the quadratic equation
see the attached figure
the solution is
y=5.5
x=2+y---------> x=2+5.5---------> x=7.5
Part a)<span>Write an equation representing the product.
the answer Part a) is
</span>x*y=41.25
<span>
Part b) Find the two numbers</span>
the answer Part b) is
the numbers are 7.5 and 5.5
x---------------> first number
y--------------> second number
we know that
x-y=2-------------> x=2+y-----------------> equation 1
x*y=41.25------------------> equation 2
substituting 1 in 2
(2+y)*y=41.25-------> y²+2y-41.25=0
using a graph tool----------> to resolve the quadratic equation
see the attached figure
the solution is
y=5.5
x=2+y---------> x=2+5.5---------> x=7.5
Part a)<span>Write an equation representing the product.
the answer Part a) is
</span>x*y=41.25
<span>
Part b) Find the two numbers</span>
the answer Part b) is
the numbers are 7.5 and 5.5
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The standard equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
where the center is at point (h,k)
From the statement of the problem, it is already established that h = 2 and k = -5. What we have to determine is the value of r. This could be calculated by calculating the distance between the center and point (-2,10). The formula would be
r = square root [(x1-x2)^2 + (y1-y2)^2)]
r = square root [(2--2)^2 + (-5-10)^2)]
r = square root (241)
r^2 = 241
Thus, the equation of the circle is
(x-h)^2 + (y-k)^2 = r^2
where the center is at point (h,k)
From the statement of the problem, it is already established that h = 2 and k = -5. What we have to determine is the value of r. This could be calculated by calculating the distance between the center and point (-2,10). The formula would be
r = square root [(x1-x2)^2 + (y1-y2)^2)]
r = square root [(2--2)^2 + (-5-10)^2)]
r = square root (241)
r^2 = 241
Thus, the equation of the circle is