Answer:
slope = 
Step-by-step explanation:
Calculate slope m using the slope formula
m = 
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = 
= 
= 
=
Answer:
Step 1: Identify a, h, and k.
a=0.5, h= -2, k= -4
Step 3: The axis of symmetry is the line x= -2
Step 4: h(-4)= -2 h(-6)= 4
The graph should have points plotted at (-6, 4), (-4, -2), (-2, -4), (0, -2), and (2, 4)
Step-by-step explanation: The answers were already there, just here to repeat for others who are confused.
<span>The next number should be 4. If you look at every other number, even and odd alternate. 2 is even, 7 is odd, etc. Since 9 is odd, the next number should be even. To figure out what number specifically, you will want to break up the numbers into three columns. 2 3 __
7 12 17
8 9 10 From here, you can see that the pattern will be adding 1 for the top row, 5 for the middle row, and 1 for the bottom row. Since the unknown number is on the top right of the first row, you will add 1 to 3, and the answer is 4.</span>
For the first one a = 2.5. For the second one m = 4. For the third one m = -4
Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
