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3 years ago

Find the value of the expression :

Mathematics

1 answer:

kykrilka [37]3 years ago

8 0

Answer: x² + 2xy + y² = 9

x² + 2xy + y² = (x + y)²

with x = 2 + 3i and y = $\frac{3+i}{i}$ , we have:

$(x + y)^{2}=(2+3i+\frac{3+i}{i})^{2}\\\\=(\frac{2i+3i^{2}+3+i }{i})^{2}\\\\=(\frac{3i-3+3}{i})^{2} \\\\=(\frac{3i}{i})^{2}\\\\=3^{2}=9$

Step-by-step explanation:

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Write an equation for the line described in standard form with x-intercept 4 and y-intercept 5

stealth61 [152]

Answer:

Equation $( \frac{5}{4}) x + y = 5$ is in the standard dorm.

Step-by-step explanation:

Here, the x - intercept = 4 , so ( 4,0) is a point on the line.

and the y - intercept = 5, so ( 0,5) is a point on the line.

So, the slope of the equation is given as = $\frac{y_2 - y_1}{x_2-x_1 } = \frac{5 -0}{0-4} = -\frac{5}{4}$

Now, the SLOPE INTERCEPT FORM of an equation is :

y = mx + b: here m = slope and b = y- intercept

or, $y =-( \frac{5}{4}) x + 5$

Now, standard form is Ax +By = C

So, the standard form is $( \frac{5}{4}) x + y = 5$

Hence, the above equation $( \frac{5}{4}) x + y = 5$

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3 years ago

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3 years ago

Each picture shows a figure and its reflection. Which picture shows the line of reflection?

nikitadnepr [17]

Answer:

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Step-by-step explanation:

The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

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2 years ago

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Answer:

Step-by-step explanation:

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1 year ago

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Answer:

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Step-by-step explanation:

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