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NeX [460]
3 years ago
10

Match each geometric figure on the left with its definition on the right.

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

a

Step-by-step explanation:

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Which is greater 9/16 or 8/15
chubhunter [2.5K]
I find that turning the fractions into decimals helps in this situation.
9/16 = 0.5625
8/15 = 0.5333

so 9/16 is greater then 8/15
4 0
3 years ago
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Suppose f(x) = x³ . find the graph of f(x+5)
Ganezh [65]
\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)=  A(  Bx+  C)+  D
\\\\
~~~~y=  A(  Bx+  C)+  D
\\\\
f(x)=  A\sqrt{  Bx+  C}+  D
\\\\
f(x)=  A(\mathbb{R})^{  Bx+  C}+  D
\\\\
f(x)=  A sin\left( B x+  C  \right)+  D
\\\\
--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  }   A\cdot   B\\\\
\bullet \textit{ flips it upside-down if }  A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }  B\textit{ is negative}

\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{  C}{  B}\\
~~~~~~if\ \frac{  C}{  B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }  D\\
~~~~~~if\   D\textit{ is negative, downwards}\\\\
~~~~~~if\   D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{  B}

and with that template in mind,

notice from a parent function of   f(x) = x³,
a derived function with f(x+5) = (x + 5)³

has a C component of 5, C = 5, which means is the as the parent, just shifted to the left by 5 units.
5 0
3 years ago
Read 2 more answers
What is the value of X?
Ugo [173]

∆ABC similar to ∆CBD

DB/AC = CB/AB

\frac{x}{7.5}  =  \frac{7.5}{x + 3}  \\ x(x + 3) =  {7.5}^{2}  =  { (\frac{15}{2}) }^{2}  \\  {x}^{2}  + 3x =  \frac{225}{4}  \\ 4 {x}^{2}  + 12x = 225 \\ 4 {x}^{2}  + 12x + 9 = 216 \\  {(2x + 3)}^{2}  = 216 \\ 2x + 3 = 6 \sqrt{6}  \\ x =  - 1.5 + 3 \sqrt{6}

approximately 6.1485

4 0
3 years ago
Helpp!!!
astraxan [27]

9514 1404 393

Answer:

  11.9 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the side opposite the angle (BC) and the hypotenuse (14 cm).

  Sin = Opposite/Hypotenuse

  sin(58°) = BC/(14 cm)

  BC = (14 cm)×sin(58°) . . . . . multiply by the denominator

  BC ≈ 11.9 cm

5 0
3 years ago
X+7+3x+5=180 bro help
KATRIN_1 [288]

Answer:

x = 42

Step-by-step explanation:

Collect like terms (all x together and constants together)

4x + 12 = 180

4x = 180 - 12

4x = 168

x = 168 / 4

x = 42

4 0
3 years ago
Read 2 more answers
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