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cestrela7 [59]
3 years ago
6

Find the point on the sphere closest to the plane

Mathematics
1 answer:
Ratling [72]3 years ago
3 0
Use the concept of Lagrange multipliers.
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Perform the indicated operations. Write the answer in standard form, a+bi.<br> (5 + 6i)(5 - 6i)
lubasha [3.4K]

\boxed{\underline{\bf \: ANSWER}}

\sf \: ( 5 + 6 i ) ( 5 - 6 i )

Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.

\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2}

By definition, i² is -1.

\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right)

Do the multiplications.

\dashrightarrow \sf \: 25-30i+30i+36

Now cancel -30i & +30i

\dashrightarrow \sf \: 25 \:  \bcancel{- 30i}  \:  +  \: \bcancel{30i}+36

Now the equation becomes

\dashrightarrow \sf \: 25 \:  + 36 \\ \dashrightarrow  \boxed{\bf \: 61}

________

Hope it helps.

ŕάίήвόώşάĻţ2²2²

5 0
3 years ago
Read 2 more answers
Ke Shawn is placing a right triangle in the coordinate plane. He knows that the longer leg is twice the length of the shorter le
Artist 52 [7]

the 3rd vertex is on the x axis line which means Y =0

 since the longer leg is twice as long as the shorter leg and the length of the shorter leg is a, then twice the length would be 2a ( 2 times a)


 so the 3rd vertex is (2a,0)

7 0
3 years ago
Read 2 more answers
A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $13.20 pe
Stells [14]

Answer:

13lbs

Step-by-step explanation:

x = number of pounds of chocolate/lbs

13.20(x) + 3.90(10) = 9.16(x + 10)

13.2x + 39 = 9.16x + 91.6 (x100)

1320x + 3900 = 916x + 9160

404x = 5260

x = 1315/101 = 13.0198.... ⇒ 13lbs

8 0
3 years ago
A circle is centered on point B. Points A, C and D lie on its circumference.
REY [17]

Answer:35

Step-by-step explanation:

Trust it is true

4 0
3 years ago
Over the three evenings,Karen received a total of 137 phone calls at the call center. The third evening, she received 4 times as
marin [14]

Answer:

1st: 22, 2nd: 27, 3rd: 88

Step-by-step explanation:

Make an equation

If she recieved x calls the 1st evening, then the 2nd evening she recieved x+5, and the 3rd evening she recieved 4x.

x+x+5+4x=137

Combine like terms

6x+5=137

Subtract 5 from both sides

6x=132

Divide by 6 on both sides

x=22

First:

22 calls

Second:

x+5

22+5

27 calls

Third:

4x

4*22

88 calls

Hope this helps!

3 0
3 years ago
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