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4 years ago

If (x+yi)+6i=2, what is x+y

Mathematics

1 answer:

sergiy2304 [10]4 years ago

6 0

Answer:

-4

Step-by-step explanation:

(x+yi)+6i=2

Set the real terms equal

x =2

Set the imaginary parts equal

y +6 = 0

Subtract 6 from each side

y+6-6=0-6

y = -6

We want to find x+y

2-6

-4

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When angles are complementary the sum of their measures is 90 degrees. Two complementary angles have measured of 2x-10 degrees a

Vinvika [58]

56° and 34°

complementary angles sum to 90° thus

3x - 10 + 2x - 10 = 90

5x - 20 = 90

add 20 to both sides of the equation

5x = 90 + 20 = 110

divide both sides by 5

x = $\frac{110}{5}$ = 22

angle 2x - 10 = (2 × 22) - 10 = 44 - 10 = 34° and

angle 3x - 10 = (3 × 22) - 10 = 66 - 10 = 56°

3 0

4 years ago

Subtract. Your answer should be a polynomial in standard form. a (4r ^ 2 - 3r + 2) - (- r ^ 2 - 3r) =

blsea [12.9K]

Answer:5r2+2

Step-by-step explanation:

Distribute the Negative Sign:

=4r2−3r+2+−1(−r2−3r)

=4r2+−3r+2+−1(−r2)+−1(−3r)

=4r2+−3r+2+r2+3r

Combine Like Terms:

=4r2+−3r+2+r2+3r

=(4r2+r2)+(−3r+3r)+(2)

=5r2+2

6 0

3 years ago

Three functions are given below: f(x), g(x), and h(x).

Rzqust [24]

Answer: The axis of symmetry is x=1.

Explanation:

The given function is,

$g(x)=5x^2-10x+7$

The degree of the equation is 2. SInce it is a quadratic function therefore the graph of the function is a parabola.

The axis of symmetry of a parabolic function $f(x)=ax^2+bx+c$ is a vertical line,

$x=-\frac{b}{2a}$

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,

$x=-\frac{(-10)}{2(5)}$

$x=\frac{10}{10}$

$x=1$

Therefore, the axis of symmetry is x=1.

5 0

3 years ago

The ratio of child to teen to adult tickets sold at a water park on Saturday was 4 : 1 : 2. A total of 294 tickets were sold. Ho

Gwar [14]

168
You add 4, 1, and 2 to get 7. You put 4/7=x/294. Then you use proportions to solve for x.
7x=1176
x=168

3 0

3 years ago

Read 2 more answers

Correct answers only please!

-Dominant- [34]

Answer:

63.4

Step-by-step explanation:

The triangle is right angled , so :

tan S = UT/ST

tan S = 2/1

tan S = 2

S = $tan^{-1}$ 2

S = 63.4

5 0

3 years ago