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Naily [24]
2 years ago
11

If a is real and the product of (a+6i)(5-3i) is a real number, the find a.

Mathematics
1 answer:
irina [24]2 years ago
3 0

Answer:

5a−3ai+30i+18

Step-by-step explanation:

i just did this

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Last week, Tina worked 40 hours in 4 days. She worked the same number of hours each day. How many hours did she work each day? W
blsea [12.9K]

She works 10 hour per day

3 0
3 years ago
In the diagram shown of circle A, tangent MB is drawn along with chords BAC and BF . Secant MFE intersects BAC at G. It is known
mote1985 [20]

Answer:

  • arc BF = 76°
  • ∠M = 31°
  • ∠BGE = 121°
  • ∠MFB = 111°

Step-by-step explanation:

(a) ∠FBM is the complement of ∠FBC, so is ...

  ∠FBM = 90° -52° = 38°

The measure of arc BF is twice this angle, so is ...

  arc BF = 2∠FBM = 2(38°)

  arc BF = 76°

__

(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...

  ∠M = (1/2)(138° -76°) = 62°/2

  ∠M = 31°

__

(c) arc FC is the supplement to arc BF, so has measure ...

  arc FC = 180° -arc BF = 180° -76° = 104°

∠BGE is half the sum of arcs BE and FC, so is ...

  ∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2

  ∠BGE = 121°

__

(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...

  ∠MFB = 180° -∠M -∠FBM = 180° -31° -38°

  ∠MFB = 111°

3 0
4 years ago
Rearrange x = 3g + 2 to make g the subject​
lord [1]

Answer:

g=\frac{x}{3} -\frac{2}{3}

Step-by-step explanation:

You divide 3 from both sides leaving you with g=(x/3)-(2/3)

Please mark my answer as brainlyest.

7 0
3 years ago
What is the slope that crosses through the point (-4,-5) and (6,8)
Angelina_Jolie [31]
Slope = \frac{Y2 - Y1}{X2 - X1}

\frac{8 - (-5)}{6 - (-4)}

Your final answer is: \frac{13}{10}
5 0
4 years ago
"alan drives an average of 100 miles each week. his car can travel an average of 25 miles per gallon of gasoline. alan would lik
nydimaria [60]
First, list all the given information:
*100 miles/week
*25 miles/gallon
*$4/gallon
*weekly expenditure reduced by $5

The easiest approach to use here is the dimensional analysis. Cancel out like units if they appear both in the numerator and denominator side. Solve first the original cost. The solution is as follows:

100 miles/week * 1 gal/25 miles * $4/gal = $16/week

The reduced cost would be:
16 - 5 = (New average miles/week) * 1 gal/25 miles * $4/gal
New average miles/week = 68.75 miles/week
8 0
4 years ago
Read 2 more answers
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