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aksik [14]
3 years ago
12

Given a rhombus, a square, and a rectangle, what must be true of all three quadrilaterals?

Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0
<span>C.

The diagonals are perpendicular.
</span>
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Zachary bought 8.25 pounds of red, white, and blue candies for his Fourth of July party. If 2.5 pounds of the candies are red, a
Dahasolnce [82]

Answer:

2 pounds

Step-by-step explanation:

pounds of white candy: 8.25 - (2.5 + 3.75) = 8.25 - 6.25 = 2

3 0
3 years ago
S is inversely proportional to t . When s = 0.5 , t = 7 Work out t when s = 5
shtirl [24]

Answer:

t = 0.7

Step-by-step explanation:

s = k/t  where 'k' is the constant of variation

given:  0.5 = k/7 so k = 3.5

5 = 3.5/t

5t = 3.5

t = 0.7

4 0
3 years ago
Implicit differentiation Please help
Anvisha [2.4K]

Answer:

y''(-1) =8

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

Equality Properties

<u>Algebra I</u>

  • Factoring

<u>Calculus</u>

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Product Rule: \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Quotient Rule: \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}

Step-by-step explanation:

<u>Step 1: Define</u>

-xy - 2y = -4

Rate of change of the tangent line at point (-1, 4)

<u>Step 2: Differentiate Pt. 1</u>

<em>Find 1st Derivative</em>

  1. Implicit Differentiation [Product Rule/Basic Power Rule]:                            -y - xy' - 2y' = 0
  2. [Algebra] Isolate <em>y'</em> terms:                                                                               -xy' - 2y' = y
  3. [Algebra] Factor <em>y'</em>:                                                                                       y'(-x - 2) = y
  4. [Algebra] Isolate <em>y'</em>:                                                                                         y' = \frac{y}{-x-2}
  5. [Algebra] Rewrite:                                                                                           y' = \frac{-y}{x+2}

<u>Step 3: Find </u><em><u>y</u></em>

  1. Define equation:                    -xy - 2y = -4
  2. Factor <em>y</em>:                                 y(-x - 2) = -4
  3. Isolate <em>y</em>:                                 y = \frac{-4}{-x-2}
  4. Simplify:                                 y = \frac{4}{x+2}

<u>Step 4: Rewrite 1st Derivative</u>

  1. [Algebra] Substitute in <em>y</em>:                                                                               y' = \frac{-\frac{4}{x+2} }{x+2}
  2. [Algebra] Simplify:                                                                                         y' = \frac{-4}{(x+2)^2}

<u>Step 5: Differentiate Pt. 2</u>

<em>Find 2nd Derivative</em>

  1. Differentiate [Quotient Rule/Basic Power Rule]:                                          y'' = \frac{0(x+2)^2 - 8 \cdot 2(x + 2) \cdot 1}{[(x + 2)^2]^2}
  2. [Derivative] Simplify:                                                                                      y'' = \frac{8}{(x+2)^3}

<u>Step 6: Find Slope at Given Point</u>

  1. [Algebra] Substitute in <em>x</em>:                                                                               y''(-1) = \frac{8}{(-1+2)^3}
  2. [Algebra] Evaluate:                                                                                       y''(-1) =8
6 0
3 years ago
Read 2 more answers
1. Which expressions below are equivalent to 2(2x + 1)? Select all that apply.
GarryVolchara [31]

Answer:

4x+2

Step-by-step explanation:

2(2x+1)

4x +2

you distribute the the 2

3 0
3 years ago
Read 2 more answers
after 2/5 of the kittens were given away, there was k kittens and p puppies left in the pet store. write and algebraic expressio
Rufina [12.5K]

Answer:

Algebraic expression in terms of k

     k= T- p

Step-by-step explanation:

As

no of kittens left = k

no of puppies left =p

If total left after giving away kittens  =T

T = p + k

In terms of k the expression will be

k= T- p

Keywords: Algebra

Learn more about algebra at:

  • brainly.com/question/3739260
  • brainly.com/question/13168205
  • brainly.com/question/9607945

#learnwithBrainly

6 0
3 years ago
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