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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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Mila [183]

Answer:

The probability of choosing an A student is 58% (0.58 or 29/50)

Step-by-step explanation:

The fact that 23 students are boys and 27 are girls is irrelevant to the question so we can ignore that.

There are 50 students in all and out of these students 15 boys and 14 girls made an A.

We can first add 15+14 which equals 29. So 29 students out of 50 made in A on the exam.

29/50 equals 0.58 or 58%.

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3 years ago
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Answer:

Step-by-step explanation:

The tangent segment is perpendicular to the diameter, so the triangle is a right triangle (not just based on its appearance).  A property of circles is:  a tangent is perpendicular to the radius drawn to the point of tangency.

In the right triangle, one leg has length 12.6, and the hypotenuse has length 21.

Apply the Pythagorean Theorem:  (leg)^2 + (leg)^2 = (hypotenuse)^2

Oh, and the diameter has length 2x!

(2x)^2+12.6^2=21^2\\\\4x^2+158.76=441\\\\4x^2=282.24\\\\x^2=70.56\\\\x=\sqrt{70.56}\\\\x=8.4

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3 years ago
A markdown that is greater than 99% but less than 100%
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Determine the point that lies on the equation y = -5x - 3.
scZoUnD [109]

Answer:

(4, -23)

Step-by-step explanation:

We are given;

  • The equation, y = -5x -3

We are needed to determine the point that lies on the equation;

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  • This means when we use the value of x in the equation we should get the exact value of y of the given point;
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Point (4, -23)

Replacing x = 4 in the equation;

y = -5(4) - 3

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Therefore, the point lies on the equation as the point satisfies the equation

Thus, the required point is (4, -23)

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bulgar [2K]

Answer:

m\angle y=48^o

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc comprising

so

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m\angle y=48^o

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