It's going to be kind of crazy, but you need to use Pythagorean's Theorem for this. That will look like this:

. FOIL out the left side to get

. FOIL out the first of the 2 expressions on the right to get

, and the second of the 2 to get 4x. Our equation now looks like this:

. Combine like terms to get an equation that still has square roots in it that we have to deal with:

and

. We will square both sides to get rid of the square root sign.

. This is a polynomial now that can be factored to solve for x. Bring the 2x over by subtraction and set the polynomial equal to 0.

. Factor out an x, leaving us with x(x-2)=0. That means that x = 0 or x - 2 = 0 and x = 2. Of course if we are solving for the length of a side we know it can't have a side length of 0, so it must have a side length that is a multiple of 2. x = 2
Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.
Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;
2s + r = 30 ------(1)
Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;
s + 2r = 40 ------(2)
With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;
In equation (1), let r = 30 - 2s
Substitute for r into equation (2)
s + 2(30 - 2s) = 40
s + 60 - 4s = 40
Collect like terms,
s - 4s = 40 - 60
-3s = -20
Divide both sides of the equation by -3
s = 6.67
(Rounded up to the nearest whole number, s = 7)
Substitute for the value of s into equation (1)
2s + r = 30
2(7) + r = 30
14 + r = 30
Subtract 14 from both sides of the equation
r = 16
Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.
Answer:
34
Step-by-step explanation:
0,0
1,2
2,4
3,6
4,8
There u go hope u get it done
Answer: x = 24
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
<u>Step 1:</u><u> </u><u><em>Remove parentheses.</em></u>
12 (2 − 2) + 32 =
+ 6 + 2
<u>Step 2:</u><u> </u><u><em>Simplify 2 − 2 to 0.</em></u>
12 × 0 + 32 =
+ 6 + 2
<u>Step 3:</u><u> </u><u><em>Simplify 12 × 0 to 0.</em></u>
0 + 32 =
+ 6 + 2
<u>Step 4:</u><u> </u><u><em>Simplify 0 + 32 to 32.</em></u><em> </em>
32 =
+ 6 + 2
<u>Step 5:</u><u> </u>
<u><em> + 6 + 2 to </em></u>
<u><em> + 8.</em></u>
32 =
+ 8
<u>Step 6:</u><u> Subtract 8 from both sides.</u>
32 − 8 =
<u>Step 7:</u><u> Simplify 32 − 8 to 24.</u>
24 =
<u>Step 8:</u><u> </u><u><em>Switch sides.</em></u>
= 24
~I hope I helped you! :)~