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alina1380 [7]
3 years ago
9

Given the expression -7+6i/2+3i , perform the indicated operation and write the answer in the form a + bi.

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0
\dfrac{-7+6i}{2+3i}\times\dfrac{2-3i}{2-3i}=\dfrac{(-7+6i)(2-3i)}{(2+3i)(2-3i)}=\dfrac{4+29i}{4-9i^2}=\dfrac4{13}+\dfrac{29}{13}i
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Find the surface area. please help me
astraxan [27]

Answer

248.3712

Step-by-step explanation:

2(H*W)+2(H*L)

2(5.78*6.72)+2(6.72*12.7)= 248.3712                                                                                                                  

7 0
3 years ago
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Two jugs are filled with water. If you remove 1 liter of water from the first jug, then the two jugs contain the same amount of
lyudmila [28]
Let x be the first jug, y the second jug.

From first statement, subtracting 1 from x, makes them equal:
x - 1 = y

From second statement, subtracting 2 from y, makes it half of x:
x/2 = y-2

Solve system with substitution:
x/2 = (x-1) -2
x/2 = x - 3
x- x/2 = 3
x/2 = 3
x = 6

y = x-1 = 6-1 = 5

Therefore the largest jug contains 6 liters.
4 0
4 years ago
Round to the nearest hundredths
Fofino [41]
4 units because the y-intercept is how you figure out the difference. You take the y-intercept, find the absolute value of it, and you found the distance of the line! This is of course considering the lines are parallel, meaning the slope is the same.
3 0
3 years ago
If sin(y°) = cos(x°), which of the following statements is true?
Firdavs [7]

Answer:

<u>y = w and ΔABC ~ ΔCDE</u>

Step-by-step explanation:

Given sin(y°) = cos(x°)

So, ∠y + ∠x = 90°  ⇒(1)

And as shown at the graph:

ΔABC is aright triangle at B

So, ∠y + ∠z = 90° ⇒(2)

From (1) and (2)

<u>∴ ∠x = ∠z </u>

ΔCDE is aright triangle at D

So, ∠x + ∠w = 90° ⇒(3)

From (1) and (3)

<u>∴ ∠y = ∠w</u>

So, for the triangles ΔABC and ΔCDE

  • ∠A = ∠C  ⇒ proved by ∠y = ∠w
  • ∠B = ∠D  ⇒ Given ∠B and ∠D are right angles.
  • ∠C = ∠E  ⇒ proved by ∠x = ∠z

So, from the previous  ΔABC ~ ΔCDE by AAA postulate.

So, the answer is <u>y = w and ΔABC ~ ΔCDE</u>

4 0
3 years ago
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The standard error of the estimate measures the scatter or dispersion of the observed values around a __________________________
muminat

Answer:

True mean/population mean

Step-by-step explanation:

The standard error in this case gives an estimate on how far the values observed during the course of the experiment ate likely to be from the true mean/population mean.

7 0
4 years ago
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