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2 years ago

6

Find the missing term. () + (7 − 3i) + (5 + 9i) + 13i = 10 − 5i.

2 answers:

kotegsom [21]2 years ago

5 0

X + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

Subtract 13i from both sides

x + (7 -3i) + (5 + 9i) = 10 - 18i

Subtract (5 + 9i). MAKE SURE YOU SUBTRACT 9i TOO. In other words, distribute the negative and subtract 5 and 9i at the same time.

x + (7 - 3i) = 5 - 27i

Do the same with (7 - 3i). You'll be adding 3i since -(-3i) = 3i.

x = -2 - 24i

Archy [21]2 years ago

3 0

Answer:

the missing term is $(-2-24i)$

Step-by-step explanation:

Let

$(x+yi)$ ------> the missing term

we have

$(x+yi)+(7-3i)+(5+9i)+13i=10-5i$

Combine like terms in the left side

$(x+7+5)+(yi-3i+9i+13i)=10-5i$

$(x+12)+(yi+19i)=10-5i$

Solve the system of equations

$x+12=10$ ------> equation A

$x=10-12=-2$

$yi+19i=-5i$ ------> equation B

$yi=-5i-19i=-24i$

the missing term is $(-2-24i)$

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A rectangular prism has a volume of 170 cubic centimeters. The length of the prism is 5 centimeters, and the height of the prism

luda_lava [24]

Answer:

The width of the prism is 2 cm

Step-by-step explanation:

The given parameters are;

The volume of the prism = 170 cm³

The length of the prism = 5 cm

The height of the prism = 17 cm

The volume of the prism is given by the relationship v = Length, l × Height, h × Width, w

Therefore;

The volume of the prism = 5 cm × 17 cm × w = 170 cm³

Which gives;

w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm

∴ The width of the prism = 2 cm.

7 0

1 year ago

The value in dollars,v(x),of a certain truck after x years is represented by the equation v(x)=32,500(0.92)^x.To the nearest dol

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Answer: $2193

Step-by-step explanation:

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Plug two and three in for x

v(2) = 32,500 $(.92)^{2}$

v(2) = 32,500(.8464)

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2 years ago

Mirela has a rectangular piece of paper with an area of 0.35 m2. She cuts the paper into small rectangles with areas of 700 cm2.

lakkis [162]

Answer:

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Step-by-step explanation:

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Answer:

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