Answer:
3 < c < 9
Step-by-step explanation:
The length of a side of a triangle cannot be negative. This eliminates the first and last options.
The addition of two sides of a triangle must be greater than the third side. In this case:
3 + 6 = 9 > c
So, the second option is correct. The third option is not correct, because, for example, c = 8 is possible
Answer:
Step-by-step explanation:
<h3>Given</h3>
- If (s -a) = 5cm, (s -b) = 10cm, (s -c) = 1cm
- s = ?
<h3>Solution</h3>
<u>Add up the 3 equations and solve for s:</u>
- s - a + s - b + s - c = 5 + 10 + 1
- 3s = 16 + a + b + c
- s = 1/3(a + b + c + 16)
Answer:
Let x equal the ice thickness. An equality that represents a safe ice thickness for walkability is:
x ≥ 4 inches
(Plus the graph)
Step-by-step explanation:
Defining a variable just means you let any letter or symbol take the place of something. But you have to specifically say what is what in order for it to be clear.
So I defined "x" as the variable to represent the ice's thickness. And since we want an inequality for all the safe thicknesses, we could say that "x" must be greater than or equal to 4 inches thick in order to safely walk on it.
Lastly, you'd graph it with a solid point on 4 with the arrow going to the right.
Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this:
4x+18y=50
+
-4x-9y=-23
4x-4x= 0. 18y-9y= 9y and 50-23= 27
SO: 9y= 27 and y= 3
And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
Plug it back in to check!
Hope this helps. Happy solving! :)
Answer:
B (1,2)
Step-by-step explanation: