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Rina8888 [55]
2 years ago
15

Simplify (2-7i)+(3+9i) step by step

Mathematics
2 answers:
Mariana [72]2 years ago
5 0

Answer:

first identify the like terms;

(2-7i)+(3+9i)

(2+3-7i+9i)

5+2i

gayaneshka [121]2 years ago
3 0

Answer:

5 + 2i

Step-by-step explanation:

1) Remove parentheses

2 - 7i + 3 + 9i

2) Collect like terms

(2 + 3) + (-7i + 9i)

3) Simplify

5 + 2i

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the table shows a relative frequency distribution for the size of farms in the united states. find the probability that a random
Alina [70]

Step-by-step explanation:

The probability that a farm has 500 or more acres is:

P = 0.076 + 0.047 + 0.035

P = 0.158

5 0
3 years ago
Triangle ABC is a right triangle.
mina [271]

Answer:

They are complementary.

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

A+B+C=180°

where

A,B and C are the measures of the interior angles of triangle

In a right triangle

The measure of angle C ( I assume that the right angle is C) is equal to 90 degrees

so

A+B+90°=180°

A+B=180°-90°

A+B=90°

Remember that

If two angles are complementary, then their sum is equal to 90 degrees

therefore

A and B are complementary angles

3 0
3 years ago
Read 2 more answers
Rectangle A has a length of 12 and width of 8. Rectangle B has a length of 15 and a width of 10.
navik [9.2K]

Answer:

rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal

compare ratios of lengths and widths

rectangles A and B

k =  =  ← ratio of lengths

k =  =  ← ratio of widths

scale factors are equivalent, hence rectangle A is a scaled copy of B

rectangles C and B

k =  =  ← ratio of lengths

k =  =  ← ratio of width

scale factors (k ) are not equal, hence C is not a scaled copy of B

rectangles A and C

k =  =  ← ratio of lengths

k =  ← ratio of widths

the scale factors are not equal hence A is not a scaled copy of C

Step-by-step explanation:

6 0
3 years ago
Write an equation of a line that passes through (-12, -14) with slope 6.
damaskus [11]

The slope intercept form of a line is y = mx + b

  • m = slope
  • b = y-intercept

Plug in the slope, 6, into m.

Rewrite the equation;

  • y = 6x + b
  • We need to find b, your y-intercept, to finish this equation.

Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.

  • -14 = 6(-12) + b

Solve for b to find the y-intercept.

  • -14 = -72 + b
  • 58 = b

Your new equation (your answer) is<em> </em>y = 6x + 58.

6 0
3 years ago
A bicycle tire has a radius of 10 inches. To the nearest inch, how far does the tire travel when it makes 4 revolutions?
Aloiza [94]

Answer: 251.2 inches.

Step-by-step explanation: You have to multiply 4*2*π*radius. So, simply multiply 4*2*3.14*10. It would come out as 251.2 inches.

6 0
3 years ago
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