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UkoKoshka [18]
3 years ago
14

If X={1,2,3,4} and Y={1,4,9,16,20} then find all ordered pairs such that Y is square of X.

Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

  (1, 1), (2, 4), (3, 9), (4, 16)

Step-by-step explanation:

You recognize that, of the numbers in Y, 20 is not a square. You also recognize that the remaining values of Y correspond to the squares of the values of X:

  (x, x^2) = {(1, 1), (2, 4), (3, 9), (4, 16)}

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What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32
denis23 [38]

Answer:

Option (d) is correct.

\sqrt{10000x^{64}}=100x^{32}

Step-by-step explanation:

Given : Expression \sqrt{10000x^{64}}

We have to write a simplified form of the given expression \sqrt{10000x^{64}}

Consider the given expression \sqrt{10000x^{64}}

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0

=\sqrt{10000}\sqrt{x^{64}}

Factor 10000 as 10000=100^2

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a

\sqrt{100^2}=100

also, \mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0

We have,

\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}

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What is the measure of WUX in Circle V ?
Alja [10]

Answer:

arc\ WUX=120^o

Step-by-step explanation:

<u><em>The complete question is:</em></u>

In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?

The picture of the question in the attached figure

step 1

Find the measure of angle XWV

we know that

The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)

we have

m\angle WXZ=30^o\\m\angle WXV=m\angle WXZ

so

m\angle WXV=30^o

Remember that an isosceles triangle has two equal interior angles

so

step 2

Find the measure of angle WVX

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle\ WVX+m\angle XWV+m\angle WXV=180^o

substitute the given values

m\angle WVX+30^o+30^o=180^o\\m\angle WVX=180^o-60^o=120^o

step 3

Find the measure of arc WUX

we know that

arc\ WUX=m\angle WVX ----> by central angle

we have

m\angle WVX=120^o

therefore

arc\ WUX=120^o

4 0
4 years ago
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