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katovenus [111]
3 years ago
9

What is the area of this figure

Mathematics
2 answers:
vodomira [7]3 years ago
5 0

area = 4 \times 4  +  \frac{4 \times 6}{2}   \\ = 16 + 12 = 28 \:  {yd}^{2}

Alla [95]3 years ago
5 0

~Hello There!~

area of triangle = \frac{b *h}{2}

area of triangle = \frac{6*8}{2}

area of triangle = 24

area of square = b*h

area of square = 4 * 4

area of square = 16

total area = 24 + 16

total area = 40yd^{2}

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

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4 0
3 years ago
Find equations of both the tangent lines to the ellipse x^2 + 4y^2 = 36 that pass through the point (12, 3).y = (smaller slope)y
Bingel [31]

Answer:

x+y=15

Step-by-step explanation:

Given equation of x^2+4y^2=36

Differentiating both side 2x+8y\frac{dy}{dx}=0

\frac{dy}{dx}=\frac{-x}{4y}

It passes through the point (12,3) so

\frac{dy}{dx}=\frac{-12}{4\times 3}=1

So equation of tangent passing through (12,3) is

y-12=-1(x-3) as y-y_1=-m(x-x_1)

So x+y =15 will be the equation of tangent which passes though the point (12,3)

5 0
3 years ago
The graph of f(x) = 3.2x-3 is shown below. g(x) is a transformation of f(x).
WINSTONCH [101]

Answer:

  C.  g(x) = 3·2^x +2

Step-by-step explanation:

The graph of g(x) appears to be a translation upward of the graph of f(x).

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To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)

  g(x) = f(x) +5

  g(x) = (3·2^x -3) +5

  g(x) = 3·2^x +2

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You can also determine the correct choice by looking at the value at x=0:

  A. g(0) = 3 +6 = 9

  B. g(0) = 1 +3 = 4

 C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph

  D. g(0) = 3

6 0
2 years ago
F(x) = 6^x for x=3<br> are the function for the given value:
Nimfa-mama [501]

Answer:

f(3) = 216

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

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 6ˣ

x = 3

<u>Step 2: Evaluate</u>

  1. Substitute:                    f(3) = 6³
  2. Exponents:                   f(3) = 216
4 0
3 years ago
A equation to determine the number of minutes(t) that Raymond was on the trampoline
gtnhenbr [62]

Answer: t=43.25-7/1.25=29 minuets

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8 0
4 years ago
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