Identify the factors of x2 + 16y2.

Mathematics

2 answers:

sergey [27]3 years ago

7 0

Answer: Factors will be (x+4i)(x-4i)

Step-by-step explanation:

Since we have given that

$x^2+16y^2$

We need to find the factors of the above expression:

As we know that

$a^2+b^2=(a+ib)(a-ib)$

So, Here, we have,

a = x

b = 4y

$(x)^2+(4y)^2=(x+4i)(x-4i)$

Hence, factors will be (x+4i)(x-4i)

BabaBlast [244]3 years ago

3 0

The way to find the factores is by seeking the polonomial's roots, or zeros!

To find the roots, we set the polinomial equation to zero:

x^2+16y^2=0

Then we solve this equation:

x^2=-16y^2

This is only true, if x=y=0.

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Please help!! Need an explanation by tomorrow and I am super confused!

vovangra [49]

Answer:

x = 35

y = 7

Step-by-step explanation:

See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so

C + 45 + 30 = 180

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7 0

2 years ago

18) What value of x makes R(x) = 10

Illusion [34]

<h3>Two Answers: x = 2 and x = 10</h3>

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Explanation:

Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.

See the diagram below.

The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.