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Liula [17]
3 years ago
14

6x - 8 = 4x+1) Plz helpppppppp

Mathematics
2 answers:
Radda [10]3 years ago
5 0

Answer:

x=\frac{9}{2}

Step-by-step explanation:

6x-8=4x+1\\\\6x-8+8=4x+1+8\\\\6x=4x+9\\\\6x-4x=4x-4x+9\\\\2x=9\\\\\frac{2x=9}{2}\\\\\boxed{x=\frac{9}{2}}

Hope this helps.

VashaNatasha [74]3 years ago
3 0

Answer:

I left it as a fraction but I'm not sure what you're teacher wants it as. So if they want a decimal it's 4.5

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Find all values of $x$ such that $\sqrt{4x^2} - \sqrt{x^2} = 6$.
artcher [175]

For this case we must solve the following equation:

\sqrt {4x ^ 2} - \sqrt {x ^ 2} = 6

To solve we follow the steps below:

We square both sides of the equation squared:

(\sqrt {4x ^ 2} - \sqrt {x ^ 2}) ^ 2 = 6 ^ 2\\(\sqrt {4x ^ 2}) ^ 2-2 (\sqrt {4x ^ 2}) (\sqrt {x ^ 2}) + (\sqrt {x ^ 2}) ^ 2 = 36\\4x ^ 2-2 (\sqrt {4x ^ 2 * x ^ 2}) + x ^ 2 = 36\\4x ^ 2-2 (\sqrt {4x ^ 4}) + x ^ 2 = 36\\4x ^ 2-2 (2x ^ 2) + x ^ 2 = 36\\4x ^ 2-4x ^ 2 + x ^ 2 = 36\\x ^ 2 = 36\\x = \pm \sqrt {36}\\x = \pm6

We choose the positive value because we talk about $. x = 6

Answer:

$6

8 0
3 years ago
Find the slope of the line that passes through (10, 7) and (3, 15).
alex41 [277]

\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}

      <em>Find the slope of the line that passes through (10, 7) and (3, 15).</em>

<em>Simplify your answer and write it as a proper fraction, improper fraction, or integer.</em>

<em />\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}

We can find the slope using the following formula:-

\boxed{\frac{y_2-y_1}{x_2-x_1}}

Replace the letters with numbers:-

\boxed{\frac{15-7}{3-10}}

\bigstar On simplification,

\boxed{\frac{8}{-7}}

\bigstar The slope is

\boxed{-\frac{8}{7}}

<h3>Good luck with your studies.</h3>

\rule{300}{1}

8 0
2 years ago
Given a sphere with a diameter of 8 cm , find its volume to the nearest whole number
andrew-mc [135]

Answer:

268

Step-by-step explanation:

6 0
3 years ago
Tyler and Elena are on the cross country team.
romanna [79]

Answer:

Tyler ran <em>0.06 miles farther </em>than Elena

Step-by-step explanation:

From the graph we can find the distance ran by Tyler in 10 minutes is approximately 1.24 miles

Given the equation for Elena's distances and times is

y=8.5x, where x is the distance in miles and y is the time in minutes, we can know the value of x when y = 10 minutes

x=\frac{y}{8.5} =\frac{10}{8.5}=1.18 miles

With this numbers at hand, we can infer Tyler ran 1.24 - 1.18 = 0.06 miles farther than Elena

5 0
4 years ago
80% of 6-graders and 20% of 5-graders went on a field trip. If there are 20 6-graders and 80 5-graders, what percent of students
blsea [12.9K]
16 6th graders went on the field trip and  16 5th graders went on the field trip so that makes 32 students all together which means  32% of the students went on the field trip

5 0
4 years ago
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