Let's factor x^2−22x+121
The middle number is -22 and the last number is 121. Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks? We need two numbers that...
Add together to get -22
Multiply together to get 121
Can you think of the two numbers?
Try -11 and -11:
-11+-11 = -22
-11*-11 = 121
Fill in the blanks in
(x+_)(x+_)
with -11 and -11 to get...
(x-11)(x-11)
Answer: (x-11)(x-11)
Hope this helps!!!
Answer:
x = 25.734083
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)
Tangent Ratio:
Substituting:
Solving for x:
Calculating:
x = 25.734083
Round to 3 decimals:
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
P1 (4, -5) → x₁ = 4, y₁ = -5
P2 (3, 3) → x₂ = 3, y₂ = 3
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:
- [Distance] [√Radical] (Parenthesis) Simplify:
- [Distance] [√Radical] (Parenthesis) Subtract/Add:
- [Distance] [√Radical] Evaluate exponents:
- [Distance] [√Radical] Add:
Answer:
32 × 10^(10k)
Step-by-step explanation:
y = 16 x 10^8k
y^5/4 = ⁴√y^5
= ⁴√16^5 x 10^40k
= ⁴√2^20 x 10^40k
= 2^5 × 10^10k
= 32 x 10^(10k)
Answer:
L= P÷2-W
L = 20÷2-8
L = 2
Step-by-step explanation:
So 4l will be
4L = 2
L = 2÷4
=1\2