Answer:
Step-by-step explanation:
xy = 42
x+y = - 2 Substitute into the top equation
y = -2 - x Put in for y
x(-2 - x) = 42 Remove the brackets
-2x - x^2 = 42 Subtract 42 from both sides.
-2x - x^2 - 42 = 0 Put in the more normal order.
-x^2 - 2x - 42 = 0 Multiply by -1
x^2 + 2x + 42 = 0
This cannot be factored. It gives complex roots as it is written. I will give you the answer but I kind of doubt the question is correct.
x1 = - 1 + 6.40i
x2 = -1 - 6.40i
Leave a comment if you have a correction.
A circular concrete slab is a cylinder. Vol = pi%2Ar%5E2%2Ah
in this cylinder:
r = 18%2F2 = 9 ft
h = 3%2F12 = .25 ft
:
Find the volume in cu/ft:
V = pi%2A9%5E2%2A.25
V = 63.61725 cu/ft
:
Change to cubic yds; (1 cu/yd = 27 cu/ft) and multiply by $40:
Cost = 63.61725%2F27 * 40
Cost = $94.25
In practical terms , they may require you to buy 3 cu/yds , which is $120
Yan na po
We have to determine the constant in the equation, which shows how Eric can calculate his profit ( y ). He sells each shirt for $4 and he has total expenses: $100 + $10 = $110. So the equation for profit is: y = 4 x - 100. In this equation y is dependent variable, x is independent variable, 4 is coefficient and - 100 is the constant. A constant is a number ( a quantity that does not vary ). Answer: D ) - 110<span>.</span>
Step-by-step explanation:
-t = 9(t-10)
-t = 9t - 90
90 = 9t + t
90 = 10t
90 ÷ 10 = t
9 = t
Answer:
One of the sides is 6 cm and the other is 8 cm
Step-by-step explanation:
Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:
a + b + hypotenuse = 24
a + b + 10 = 24
a + b = 14
b = 14 - a
So now we can right the Pythagorean theorem as follows:

and from this expression in factor form to be zero a must be 6 or a must be 8.
Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)
or a = 8 (and therefore b = 14 - 8 = 6)