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lana [24]
3 years ago
9

The rectangle below has an area of 121-x^2121−x

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0

Answer:

(121 - x2) / (11 - x)

Step-by-step explanation:

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3 years ago
How much would $300 invested at 4% interest compounded monthly be
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Answer:

To find the simple interest, we multiply 300 × 0.04 × 8 to get that:

The interest is: $96.00

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3 years ago
ASAP GEO PROBLEM HELP NEEDED QUICK
olya-2409 [2.1K]

Answer:

See below.

Step-by-step explanation:

The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.

We have the side lengths (x²-1), (2x), and (x²+1).

We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.

So, we can use the Pythagorean Theorem:

a^2+b^2=c^2

Substitute (x²-1) and (2x) for a and b, and substitute (x²+1) for c:

(x^2-1)^2+(2x)^2\stackrel{?}{=}(x^2+1)^2

Square each expression:

(x^4-2x^2+1)+(4x^2)\stackrel{?}{=}(x^4+2x^2+1)

Combine like terms:

x^4+(-2x^2+4x^2)+1\stackrel{?}{=}(x^4+2x^2+1)

Add:

x^4+2x^2+1\stackrel{\checkmark}{=}x^2+2x^2+1

We can see that the resulting equations are equivalent, proving that the triangle is indeed a right triangle.

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4 0
3 years ago
Value of the derivative of g(x)=8-10Cosx at 'x=0' is?
VLD [36.1K]

Answer:

g'(0) = 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

<u>Pre-Calculus</u>

  • Unit Circle

<u>Calculus</u>

  • Derivatives
  • Derivative Notation
  • The derivative of a constant is equal to 0
  • Derivative Property: \frac{d}{dx} [cf(x)] = c \cdot f'(x)
  • Trig Derivative: \frac{d}{dx} [cos(x)] = -sin(x)

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 8 - 10cos(x)

x = 0

<u>Step 2: Differentiate</u>

  1. Differentiate [Trig]:                    g'(x) = 0 - 10[-sin(x)]
  2. Simplify Derivative:                   g'(x) = 10sin(x)

<u>Step 3: Evaluate</u>

  1. Substitute in <em>x</em>:                    g'(0) = 10sin(0)
  2. Evaluate Trig:                      g'(0) = 10(0)
  3. Multiply:                               g'(0) = 0
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3 years ago
A savings account earns 4% interest a year. When compounded monthly what would a $200 deposit earn in 3 years? (round to the nea
denis23 [38]

Answer:aA

Step-by-step explanation:

3 0
3 years ago
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