Answer:
C. 17.6
General Formulas and Concepts:
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = 40°
Opposite Leg = <em>x</em>
Adjacent Leg = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [tangent]:
- [Multiplication Property of Equality] Isolate <em>x</em>:
- Rewrite:
- Evaluate:
- Round:
I believe -3 3/16 is in between<span>-3 1/4 and -3 1/8
:)</span>
Answer:
5x - 4 = 56
2x + 3 = 27
Step-by-step explanation:
2(5x - 4 + 2x + 3) = 166
10x - 8 + 4x + 6 = 166
14x - 2 = 166
+ 2 +2
14x = 168
divide both sides of the equal sign by 14
12
5(12) - 4 = 60 - 4 = 56
2(12) + 3 = 24 + 3 = 27
<h3>
Answer:</h3>
<u>It squares the amount you scaled it by.</u>
<h3>
Step-by-step explanation:</h3>
For example, imagine that you had 2 by 2 square, and then you put it through a scale factor of 2.
Now each side length would be double of what it once was.
But when you multiply the new lengths together, the area would be of 4 times more.
(Original Equation) 2 * 2 = 4
(Scale Factor of 2) 4 * 4 = 16
So when the scale factor is made, the area would be squared to the multiple that you scaled it by.
<em>***A square root is a number times itself.</em>
<em>(eg): 3 * 3 = </em><em>9</em>
<em> 15 * 15 = </em><em>225</em>
<em>9 and 225 would be the square root in these problems.</em>
We have the following expressions:
x = 3 + 8i
y = 7 - i
-x * y = (- 3 - 8i) * (7 - i) = -21 + 3i - 56i - 8 = -29 -53i
2x-3y = 2 (3 + 8i) - 3 (7 - i) = 6 + 16i - 21 + 3i = -15 + 19i
-5x + y = -5 (3 + 8i) + (7 - i) = -15 - 40i + 7 - i = -8 -41i
x * 2y = (3 + 8i) * (14 - 2i) = 42 - 6i + 112i + 16 = 58 + 106i
Answer:
-x * y = -29 -53i
2x-3y = -15 + 19i
-5x + y = -8 -41i
x * 2y = 58 + 106i