Answer:
k = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-9 = k - 6
<u>Step 2: Solve for </u><em><u>k</u></em>
- Add 6 to both sides: -3 = k
- Rewrite: k = -3
Greetings.
The answer is y = 2x + 7.
Explanation:
If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)
We can also find the slope by calculating m-value.
---> Rise Over Run
<em>But how are we gonna calculate if we don't have any two given ordered pairs?</em>
The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.
The graph passes through (-3,1) and (-2,3).
Then we can calculate the slope by using rise/run.

Thus, the slope is m = 2.
However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.
From Linear Function - 
Where m = slope and b = y-intercept.
Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.
Which is (0,7), the y-intercept.
Then we substitute b = 7 as y-intercept.
Thus the answer is 
Answer: 15
Step-by-step explanation:
By the trapezoid midsegment theorem,

Answer: OPTION B.
Step-by-step explanation:
Given the endpoints of the diameter of the circle, we need to find the midpoint, which is the center of the circle.
The following formula is used to calculate the Midpoint:

Given the endpoints of the diameter of the circle:

We can identify that:

Then, we can substitute these values into the formula:

Therefore, the center of the circle is: 
Answer
Step-by-step explanation:
Replace all occurrences of
+
−
with a single
−
. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because
1
⋅
−
1
=
−
1
−
20
−
2
m