The carton has a volume of 1,000 unit cubes.
For a polynomial of the form ax^2+bx+c rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅4=20 and whose sum is b=12.
<u>Factor 12 out of 12x.</u>
5x^2+12(x)+4
<u>Rewrite 12 as 2 plus 10</u>
5x^2+(2+10)x+4
Apply the distributive property.
5x^2+2x+10x+4
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(5x^2+2x)+10x+4
Factor out the greatest common factor (GCF) from each group.
x(5x+2)+2(5x+2)
Factor the polynomial by factoring out the greatest common factor, 5x+25x+2.
(5x+2)(x+2)
The answer to this is y=3 and x=-10.
Ok, you can refer to the midpoint formula to find the endpoint. Here goes...
MP=(2,-7) and EP=(8,-5)
Let x represent the missing endpoint.
(8+x)/2=2 NOTE: =2 represents first number of MP and the representation of number 8 is self explanatory. You have two endpoints but need to identify the other endpoint so you divide by 2. Then, multiply by two on both sides.
2(8+x)/2 = 2*2
16+x/2=4 do the next step (simplify) on the left side of equation 16x/2=8
Now, subtract 4-8=-4 So, the x coordinated of the missing endpoint is -4.
Answer
The answer is $3,540 hope it helps.
Step-by-step explanation:
