Answer:
I think the answer is D because it doesn't show that the bottom lengths are the same.
Step-by-step explanation:
Answer: is x = -8
this is how i got it ______
6 x - 3 - 11 - 8 x = 2
(simplify both sides and combine like terms)
(6x + -8x ) + ( -3 + -11) = 2
- 2x + -14 = 2
-2x - 14 = 2
( then you add 14 to both sides)
- 2x - 14 = 2
+14 +14
-2x = 16
( then you divide both sides by -2)
-2x / -2 = 16/ -2
x = -8
ta da!! happy to help!
it made it here. this is for the second one.
( first, we subtract 8n from both sides)
13n + 26 = 8n - 29
-8n -8n
5n + 26 = -29
( then we subtract 26 from both sides)
5n + 26 = -29
- 26 -26
5n = - 55
(after that we divide both sides by 5, we do this to make n alone )
5n/ 5 = -55/ 5
n = -11
This is a polygon with vertices on the lattice. Let's use Pick's Theorem,
A = (1/2) B + I - 1
where A is the area, B is the number of lattice points on the boundary and I is the number of lattice points in the interior.
In addition to the 3 vertices there are 3 more boundary points on UV and 6 more on WV, none on UV, B=3+3+6=12. In the interior I count I=9 lattice points.
A = (1/2) 12 + 9 - 1 = 14
Answer: 14
Obviously they just want us to say this is a right triangle, so the legs are altitude and base,
A = (1/2) b h (1/2) |UW| |WV| = (1/2) (4) (7) = 14
That checks.
9514 1404 393
Answer:
C) x = 1/2 cm
Step-by-step explanation:
Apparently, we're to assume the units of x are centimeters. The volume of the cube is the product of its dimensions:
V = x³ = 1/8
Then the value of x is ...
x = ∛(1/8) = 1/∛8
x = 1/2
_____
<em>Additional comment</em>
It can be useful to memorize the squares and cubes of small integers. The cubes you see most often are ...
1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125; 6³ = 216; 7³ = 343
Answer:
x=y=z=90.
Step-by-step explanation:
let the 3 numbers be x,y,z.
let s be sum
s=x+y+z
we need to maximize xy+yz+zx
or , xy + y(270-(x+y))+x(270-(x+y)) = P(x)
Use Lagrange's Multipliers
⇒ΔP= λΔS
⇒
⇒y=x
⇒\frac{x+z}{x+y} =1
⇒z=y
⇒x=y=z
⇒3x = 270
⇒x= 90
hence, x=y=z=90.
