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algol [13]
3 years ago
10

Your friend multiplied complex numbers and expressions as shown. Find the error in your friends work. Then factor the expression

correctly. Show work please.
(4-7i)(4+7i)=16+28i-28i+49i^2
=16-49
=-33
Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

Answer:

  = 16+49 = 65

Step-by-step explanation:

The error is at the end of the first line. (-7i)(7i) = -49i² ≠ +49i².

The correct work is ...

  (4-7i)(4+7i)=16+28i-28i-49i^2

  = 16+49

  = 65

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Given: ∆PST, PT = 8, m∠T = 90°, m∠S = 48° Find: perimeter of ∆PTS
ohaa [14]

Answer:

P=25.98\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The perimeter of triangle PST is equal to

P=PT+PS+TS

step 1

Find the length PS

In the right triangle PST

sin(48\°)=\frac{PT}{PS} ---> opposite side angle of 48 degrees divide by the hypotenuse

substitute the given values

sin(48\°)=\frac{8}{PS}

Solve for PS

PS=\frac{8}{sin(48\°)}

PS=10.77\ units

step 2

Find the length TS

In the right triangle PST

cos(48\°)=\frac{TS}{PS} ---> adjacent side angle of 48 degrees divide by the hypotenuse

substitute the given values

cos(48\°)=\frac{TS}{10.77}

Solve for TS

TS=cos(48\°)(10.77)

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step 3

Find the perimeter

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substitute

P=8+10.77+7.21=25.98\ units

4 0
3 years ago
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