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1 year ago

The circumference of a circle is approximately 43.96 centimeters. What is the radius of the circle? 3.14 for Pie

Mathematics

1 answer:

Scilla [17]1 year ago

3 0

Answer:

7 Centimeters

Step-by-step explanation:

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I need help with this question please!!!

stealth61 [152]

Answer:

Step-by-step explanation:

Each point of function b(x) is shifted by rule

x -----> ( x - 2 )

and

y -----> (y + 3)

( - 1.5, 0) ------> (- 3.5, 3)

(- 1, - 1) -----> ( - 3, 2)

(0, - 2) ------> ( - 2, 1)

(1, - 1) -----> ( - 1, 2)

(2, 3) -----> (0, 6)

(4, 7) -----> (2, 10)

......

5 0

2 years ago

How does the graph of f(x)=3lx+2l+4 relate to its parent function?

Sergeeva-Olga [200]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

now, with that template above in mind, let's see this one

$\bf parent\implies f(x)=|x|
\\\\\\
\begin{array}{lllcclll}
f(x)=&3|&1x&+2|&+4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

A=3, B=1, shrunk by AB or 3 units, about 1/3
C=2, horizontal shift by C/B or 2/1 or just 2, to the left
D=4, vertical shift upwards of 4 units

check the picture below

7 0

2 years ago

Y=_x+4<br> x + 2y =<br> 8<br> How many solutions dose this linear system have

jeyben [28]

Answer:

X=-1, y=4

Step-by-step explanation:

$y = x + 4 \\ x + 2y = 8 \\ = = = = = = = = = = = = \\ y - x = 4 \\ x + 2y = 8$

by using eliminating property

$3y = 12 \\ y = \frac{12}{3} = 4$

by substitution

X=-1

6 0

2 years ago

A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is fille

Nady [450]

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

3 0

2 years ago

Calculate the discriminant and use it to determine how many real-number roots the equation has.

Vladimir79 [104]

In a quadratic equation with the general formula of:

ax^2 + bx + c = 0

The discriminant is equal to b^2 - 4(a)(c). If the answer is a perfect square, then there are two real numbers. If not, then there are no real number root.

The discriminant for this equation is

(-6)^2 - 4(3)(1) = 24

Since 24 is not a perfect square, there are no real number roots.

4 0

2 years ago