We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.
Then, we use direct substitution:
f(-4) = -(-4) - 5
f(-4) = -1
Answer:
x = 40.7057°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangle Only] sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle. We can use trig to find the angle.
<u>Step 2: Identify Variables</u>
Angle = <em>x</em>
Opposite = 15
Hypotenuse = 23
<u>Step 3: Find Angle </u><em><u>x</u></em>
- Substitute: sinx° = 15/23
- Inverse: x° = sin⁻¹(15/23)
- Evaluate: x = 40.7057°
First of all, you can move the +2x to the other side:
-11 = -26 - 2x
Then you can move the -26 to the other side and then simplify:
-11+26 = -2x
15 = -2x
Then you can divide both sides by 2:
7.5 = -x
Then you can flip the sides and the signs around:
x = -7.5
No, The answer is not -7, it is -7.5
Hope this helps! :)
6 x 532 in expanded form is 6 x 500 + 30 + 2
Answer: The sash will have 20 diamonds when it is completed.
Step-by-step explanation:
Given: The length of American sash= 8 feet
Since, Joseph wants to add a diamond shape every 0.4 ft along the sash.
Therefore, the number of diamonds he will need to complete the sash= 
⇒ The number of diamonds he will need to complete the sash= 
Hence, the number of diamonds he will need to complete the sash= 20