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Llana [10]
2 years ago
6

If x = − 6 and y = 2 , evaluate the following expression: 2 ( y − 3 x y )

Mathematics
1 answer:
grigory [225]2 years ago
8 0

       \rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

     <em>If x=-6 and y=2, evaluate 2(y-3xy)</em>

<em />

<em>      </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

  First, We need to simplify the expression by multiplying the parentheses by 2:-

\longmapsto\sf{2y-6xy}

Now , Replace y with 2 and x with -6:-

\longmapsto\sf{2(2)-6(-6)(2)}

Simplifying,

\longmapsto\sf{4-6(-12)}

Further simplifying,

\longmapsto\sf{4+72}

Adding,

\longmapsto\underline{\boxed{\sf{76}}}

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

#TogetherWeGoFar

\rule{300}{1}

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a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth
STatiana [176]

Answer:

As per Provided Information

  • Area of rectangle is 54 square inches
  • Width of the rectangle is 9 inches.

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

\boxed{\bf  \: Area_{(Rectangle)}  = length \:  \times width}

On substituting the value we obtain

\sf \qquad \: \longrightarrow 54 = length \times 9 \\  \\  \\  \sf \qquad \: \longrightarrow \cfrac{54}{9}  = length \\  \\  \\  \sf \qquad \: \longrightarrow \: length \:  =  \cfrac{54}{9}  \\  \\  \\  \sf \qquad \: \longrightarrow \: length \:  =  \cancel \cfrac{54}{9}  \\  \\  \\  \sf \qquad \: \longrightarrow \: length \:  = 6 \: inches

<u>Therefore</u><u>,</u>

  • <u>Length </u><u>of </u><u>the </u><u>rectangle </u><u>is </u><u>6</u><u> </u><u>inches </u><u>.</u>
8 0
2 years ago
What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio? Negative one-eleventh
Elden [556K]

The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is \frac{1}{11}.

The given parameters:

  • <em>Partition of the line segment = 5:6</em>

The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;

total segment = 5 + 6 = 11

The value of each partition on the directed line segment is calculated as follows;

partition = \frac{1}{11} \times distance

The distance between point D and point E is calculated as follows;

D = 5 - (-4)\\\\D = 5 + 4\\\\D = 9

The partition of the two points (D to E) is calculated as follows;

partition = \frac{1}{11} \times 9 = 0.82

Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is \frac{1}{11}.

Learn more about partition of line segments here: brainly.com/question/4429522

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2 years ago
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Answer:

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