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2 years ago

What is the area of a triangle whose base is 10 in and height is 5 in

Mathematics

1 answer:

Fantom [35]2 years ago

7 0

The area is 25

a= 1/2bh
=1/2(10)(5)
=1/2(50)

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Write a formula for the function g(x) obtained when the graph of f(x)= square root x is shifted up 1 unit and to the left 9 unit

ch4aika [34]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
f(x)= A( Bx+ C)+ D
\\\\
~~~~y= A( Bx+ C)+ D
\\\\
f(x)= A\sqrt{ Bx+ C}+ D
\\\\
f(x)= A(\mathbb{R})^{ Bx+ C}+ D
\\\\
f(x)= A sin\left( B x+ C \right)+ D
\\\\[-0.35em]
~\dotfill\\\\
\bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\
\bullet \textit{ flips it upside-down if } A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if } B\textit{ is negative}$

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

with that template in mind, let's take a peek.

$\bf f(x)=\sqrt{x}~\hspace{7em}\stackrel{\textit{up by 1}}{D=1}\qquad \stackrel{\textit{left by 9}}{C=9}
\\\\[-0.35em]
~\dotfill\\\\
g(x)=\stackrel{A}{1}\sqrt{\stackrel{B}{1}x+\stackrel{C}{0}}+\stackrel{D}{0}\implies \stackrel{\textit{shifted}}{g(x)=\stackrel{A}{1}\sqrt{\stackrel{B}{1}x+\stackrel{C}{9}}+\stackrel{D}{1}}\implies \blacktriangleright g(x)=\sqrt{x+9}+1 \blacktriangleleft$

4 0

2 years ago

How do I solve this: 180-(2x-40) its a geometry problem.

Anastasy [175]

Answer:

180-1(2x-40)

180-1(2x)+(-1)(-40)

180+−2x+40

Combine Like Terms:

180+−2x+40=(−2x)+(180+40)

-2x+220

Step-by-step explanation:

8 0

3 years ago

5. Using the information from problem 4, if the club sells 40 tickets in advance, what is the least number the club needs to sel

larisa [96]

Answer:

Step-by-step explanation:

40 + 5 (at the door)=45

(president's goal) 400 divided by 45= approximately 8

4 0

2 years ago

Name the algebraic property demonstrated an example below: 3•(x•y)=(3•x)•y

Jet001 [13]

3•(x•y)=(3•x)•y

answer
associative property of multiplication

3 0

3 years ago

Write an equation for the line passing through the points (2,4) and (2,7).

Nataly_w [17]

Answer:

x=2

Step-by-step explanation:

Since the points (2,4) and (2,7) are on the line whose equation is x = 2,

The equation of the line passing through them is hence x = 2

4 0

3 years ago