Find the equation of a line in standard form that passes through the point (6, -2) and is perpendicular to 3x - 5y = 10.

Mathematics

1 answer:

iris [78.8K]2 years ago

7 0

Here is the solution, sorry if I’ve made an error

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What is 54/12 in a mixed number?

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12 can go into 54 only 4 times because 4•12 is 48. Now 56-48=6 so this is the remainder 6/12 wish can be simplified to 1/2 so your answer is 4 1/2 or 4.5. Hope this helps <333

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2 years ago

Find x+y+z from the following figure

hoa [83]

Step-by-step explanation:

the inner top vertex angle seems to be 90°, so x = 90° too. all angles around a single point in one side of a line are in total 180°.

also, remember, all angles inside a triangle always sum up to 180°.

so, the third inner angle of the triangle is

180 - 90 - 40 = 50°.

that makes z = 180 - 50 = 130°

and y = 180 - 40 = 140°.

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1 year ago

Find the sum of the arithmetic sequence. 3,5,7,9,....,21

inysia [295]

The sum of any arithmetic sequence is the average of the first and last terms times the number of terms.

Any term in an arithmetic sequence is:

a(n)=a+d(n-1), where a=initial term, d=common difference, n=term number

So the first term is a, and the last term is a+d(n-1) so the sum can be expressed as:

s(n)(a+a+d(n-1))(n/2)

s(n)=(2a+dn-d)(n/2)

s(n)=(2an+dn^2-dn)/2

However we need to know how many terms are in the sequence.

a(n)=a+d(n-1), and we know a=3 and d=2 and a(n)=21 so

21=3+2(n-1)

18=2(n-1)

9=n-1

10=n so there are 10 terms in the sequence.

s(n)=(2an+dn^2-dn)/2, becomes, a=3, d=2, n=10

s(10)=(2*3*10+2*10^2-2*10)/2

s(10)=(60+200-20)/2

s(10)=240/2

s(10)=120

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Answer:

$204.16 in interest or 644.16 total

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The radius of a circle is 10 m. Find its area to the nearest whole number.

Bess [88]

<h3>given:</h3>

radius= 10 m