-3x+24y-36 . You notice that the GCF =3 (that means the number that divides all factors)
3( - x + 8y -12) or you can put the "-" sign outside the parenthesis, but mind you , you will have to change all signs in the parenthesis:
-3( x - 8y +12)
It would take you 26.8 hours to drive 1340 miles... I think.
Answer:
<h2>x = -4 or x = -2</h2>
Step-by-step explanation:
![f(x)=(x^2+6x+8)(x^2+6x+13)\\\\f(x)=0\iff(x^2+6x+8)(x^2+6x+13)=0\iff\\x^2+6x+8=0\vee x^2+6x+13=0\\\\x^2+6x+8=0\\x^2+4x+2x+8=0\\x(x+4)+2(x+4)=0\\(x+4)(x+2)=0\iff x+4=0\ \vee\ x+2=0\\x+4=0\qquad\text{subtract 4 from both sides}\\\boxed{x=-4}\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x^2+6x+13=0\qquad\text{subtract 13 from both sides}\\x^2+6x=-13\\x^2+2(x)(3)=-13\qquad\text{add}\ 3^2=9\ \text{to both sides}\\x^2+2(x)(3)+3^2=-13+9\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\(x+3)^2=-4](https://tex.z-dn.net/?f=f%28x%29%3D%28x%5E2%2B6x%2B8%29%28x%5E2%2B6x%2B13%29%5C%5C%5C%5Cf%28x%29%3D0%5Ciff%28x%5E2%2B6x%2B8%29%28x%5E2%2B6x%2B13%29%3D0%5Ciff%5C%5Cx%5E2%2B6x%2B8%3D0%5Cvee%20x%5E2%2B6x%2B13%3D0%5C%5C%5C%5Cx%5E2%2B6x%2B8%3D0%5C%5Cx%5E2%2B4x%2B2x%2B8%3D0%5C%5Cx%28x%2B4%29%2B2%28x%2B4%29%3D0%5C%5C%28x%2B4%29%28x%2B2%29%3D0%5Ciff%20x%2B4%3D0%5C%20%5Cvee%5C%20x%2B2%3D0%5C%5Cx%2B4%3D0%5Cqquad%5Ctext%7Bsubtract%204%20from%20both%20sides%7D%5C%5C%5Cboxed%7Bx%3D-4%7D%5C%5Cx%2B2%3D0%5Cqquad%5Ctext%7Bsubtract%202%20from%20both%20sides%7D%5C%5C%5Cboxed%7Bx%3D-2%7D%5C%5C%5C%5Cx%5E2%2B6x%2B13%3D0%5Cqquad%5Ctext%7Bsubtract%2013%20from%20both%20sides%7D%5C%5Cx%5E2%2B6x%3D-13%5C%5Cx%5E2%2B2%28x%29%283%29%3D-13%5Cqquad%5Ctext%7Badd%7D%5C%203%5E2%3D9%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5Cx%5E2%2B2%28x%29%283%29%2B3%5E2%3D-13%2B9%5Cqquad%5Ctext%7Buse%7D%5C%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%28x%2B3%29%5E2%3D-4%3C0%5Cqquad%5Cbold%7Bno%5C%20solution%7D)
Answer:
144 units²
Step-by-step explanation:
The net of the right triangular prism consists of 3 rectangles and 2 equal triangles
Let's solve for the area of each:
✔️Area of rectangle 1 = L*W
L = 11
W = 3
Area of rectangle 1 = 11*3 = 33 units²
✔️Area of rectangle 2 = L*W
L = 11
W = 4
Area of rectangle 2 = 11*4 = 44 units²
✔️Area of rectangle 3 = L*W
L = 11
W = 5
Area of rectangle 3 = 11*5 = 55 units²
✔️Area of the two triangles = 2(½*base*height)
base = 4
height = 3
Area of the two traingles = 2(½*4*3)
= 12 units²
✔️Surface area of the right triangle = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of the two triangles
= 33 + 44 + 55 + 12
= 144 units²
9514 1404 393
Answer:
The (piece, perceived values) are ...
- Cindy, (3, 48%)
- Jamal, (1, 39%)
- Monique, (2, 33%)
Step-by-step explanation:
We assume the values and questions are as shown in the attachment.
1. After the division, Cindy bids only on piece 3, and Jamal bids only on piece 1. Hence the appropriate final division is ...
Cindy: piece 3
Jamal: piece 1
Monique: piece 2
__
2. Monique divides the land so that the value of each piece to her is 33 1/3%. That is her perceived value for the piece she gets.