All categories

3 years ago

Solve the equation to find a positive value of c: 62 + 82 = c2

Mathematics

2 answers:

Artist 52 [7]3 years ago

5 0

$c^{2}$ = 144
c = ± $\sqrt{144}$
c = <span>±12</span>

kodGreya [7K]3 years ago

5 0

Simplify. Combine like terms

62 + 82 = 144

c² = 144

Isolate the c. Note the equal sign. What you do to one side, you do to the other.

Root both sides

c² = 144

√c² = √144

c = √144

c = 12

12 is your answer for c

hope this helps

You might be interested in

The distance from Mercury to the Sun is 28.5 million miles. The distance from Neptune from the Sun is 2.8 billion miles. Express

Mnenie [13.5K]

2.79715 times 10 to the tenth power

8 0

3 years ago

What is 50 divided by 2/3

katovenus [111]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A box of oat cereal costs $3.90 for 15 ounces. A box of rice of cereal costs $3.30 for 11 ounces. Which box of cereal costs less

Firlakuza [10]

Answer:

The cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

Step-by-step explanation:

Given:

Cost of 15 ounces of oat cereal box = $3.90

Cost of 11 ounces of rice box = $3.30

To compare the unit prices of the the boxes.

Solution:

Using unitary method to find the unit prices:

If 15 ounce of oat box cost =$3.90

∴ 1 ounce of oat cereal would cost = $\$\frac{3.90}{15}=\$0.26$

∴ Per ounce cost of oat cereal = $0.26

If 11 ounce of rice box cost =$3.30

∴ 1 ounce of rice would cost = $\$\frac{3.30}{11}=\$0.3$

∴ Per ounce cost of rice = $0.3

Difference in unit costs of oat and rice = $\$0.3-\$0.26=\$0.04$

On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

3 0

3 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

What is the equation of this graphed line?

Arturiano [62]

Answer:

y = -1/3x - 5

Step-by-step explanation:

Use rise over run to find the slope: (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-7 + 3) / (6 + 6)

-4 / 12

= -1/3

Plug in the slope and a point into y = mx + b, and solve for b:

y = mx + b

-3 = -1/3(-6) + b

-3 = 2 + b

-5 = b

Plug in the slope and b into y = mx + b

y = -1/3x - 5 is the equation of the line

8 0

3 years ago

Read 2 more answers