Answer:
D
Step-by-step explanation:
or, x=88+46(exterior angle is equal to sum of two opposite interior angle)
or, x=134
Y = -2x - 7
slope = -2 (parallel shares the same slope, -2)
Option A:
y = -2x + 7
slope = -2
At (3, 1)
y = -2(3) + 7 = 1
Answer: Option A
The value of the function is 6
Step-by-step explanation:
The function that we have in this problem is
This means that:
when x is between -4 (excluded) and 6 (excluded), the value of the function is 
when x is between 6 (included) and 9 (excluded), the value of the function is 6
In this problem, we are asked to evaluate f(x) when x = 6. Therefore, we are in the second case: therefore, the value of the function is 6,
Learn more about functions:
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The answer is: The first triangle. The reasons are shown below:
1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:
Tan(α)^-1= opposite leg/adjacent leg
Opposite leg=5
Adjacent leg=5√3
Tan(α)^-1= 5/5√3
Tan(α)^-1=30°
2. Let's calculate the other angle:
Tan(α)^-1= opposite leg/adjacent leg
Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:
Tan(α)^-1= 5√3/5
Tan(α)^-1=60°
As you can see, the angles of first triangle are: 30°,60° and 90°.
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Expanding by FOIL (First Inside Outside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define equation</u>
y = -(x - 3)² + 8
<u>Step 2: Rewrite</u>
- Expand [FOIL]: y = -(x² - 6x + 9) + 8
- Distribute -1: y = -x² + 6x - 9 + 8
- Combine like terms: y = -x² + 6x - 1
