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3 years ago

98 POINTS!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Nimfa-mama [501]3 years ago

7 0

Answer:

a = 13

b= 12-5i

Step-by-step explanation:

Simplify the values and i squared will be -1

Tanzania [10]3 years ago

5 0

Answer:

a = 13 and b = 12-5i

Step-by-step explanation:

We need a common denominator

3+2i 5-i

---------- + ---------

3-2i 2+3i

(3+2i) (2+3i) (5-i)(3-2i)

------------------ + --------------------

(3-2i) (2+3i) (2+3i) (3-2i)

Foil the numerators

6 +4i+9i+6i^2 +15-3i-10i+2i^2

------------------ --------------------

(2+3i) (3-2i)

Combine like terms

21 +8i^2

------------------

(2+3i) (3-2i)

We know that i^2 = -1

21 +8(-1)

------------------

(2+3i) (3-2i)

21 -8

------------------

(2+3i) (3-2i)

------------------

(2+3i) (3-2i)

Foil the denominator

---------------

6 +9i -4i -6i^2

Combine like terms

----------------

6+ 5i -6(-1)

----------

12 +5i

We know have

-------------

12 + 5i

Multiply by the conjugate

13 ( 12-5i)

------------- * -------------

12 + 5i 12 -5i

13 (12-5i)

--------------

144 +25

13(12-5i)

-------------

169

12-5i

------------

The parentheses are (12-5i)/13

We need the reciprocal to make the equation become 1

which is 13/ 12-5i

a = 13 and b = 12-5i

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Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

Plz help ASAP with explanation

Aleksandr-060686 [28]

Answer:

The height of the tank in the picture is:

19.5 cm

Step-by-step explanation:

First, to know the height of the tank, we're gonna change the unit of the volume given in liters to cm^3:

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So:

1.2 liters = 1200 cm^3

Now, we must calculate the height of the tank that we don't know (the other part that isn't with water), to this, we can use the volume formula clearing the height:

Volume of a cube = long * wide * height

Now, we must clear the height because we know the volume (1200 cm^3):

Height = volume of a cube / (long * wide)

And we replace:

Height = 1200 cm^3 / (12 cm * 8 cm)
Height = 1200 cm^3 / (96 cm^2)
Height = 12.5 cm

Remember this is the height of the empty zone, by this reason, to obtain the height of the whole tank, we must add the height of the zone with water (7 cm) that the exercise give us:

Heigth of the tank = Height empty zone + height zone with water
Heigth of the tank = 12.5 cm + 7 cm
Heigth of the tank = 19.5 cm

In this form, we calculate the height of the tank in 19.5 cm.

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Answer:

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