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2 years ago

Simplify (6 + 4i) + (3 - 3i)

Mathematics

1 answer:

uranmaximum [27]2 years ago

5 0

Answer:

9 + i

Step-by-step explanation:

You just simplify by combining the real and imaginary parts of each expression.

Hope this helps you!!

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Please help me! Given (x+a)(x+b) = x^2+x-12, what is the value of a^2+b^2

Sonja [21]

(x + 4) (x - 3)
a = 4
b = -3

a^2 + b^2 = ...
= 4^2 + (-3)^2
= 16 + 9
= 25

4 0

3 years ago

Find a in the figure below and place the value in the empty box

AleksAgata [21]

Answer:

a = 12m

Step-by-step explanation:

In order to solve this problem we will need to know the Pythagoras theorem that states that in a right angled triangle the square of the hypotenuse (the side opposite to the right angel) is equal to the sum of the squares of the other two sides. This theorem can be written as an equation....

$c^{2} = a^{2} + b^{2}$

Now we can see that we can easily find the missing value by using this theorem. We just have to substitute the values. And we get the following

$c^{2} = a^{2} + b^{2}$

$a^{2} = c^{2} - b^{2}$

$a^{2} = 15^{2} - 9^{2}$

$a^{2} = 225 - 81$

$a^{2} = 144$

$a = \sqrt{144}$

$a = 12$

7 0

3 years ago

Which of the following lines is perpendicular to y = -5x - 2?

kykrilka [37]

Answer: c is perpendicular to y = -5x - 2

Explanation: The slope of a perpendicular line is an opposite reciprocal of the original slope/line. (Basically switch the numerator and denominator and the sign. In this case, the slope is -5/1x. It’s opposite reciprocal is 1/5x.)

You can take a look at my notes for further clarification. Hope this helps!

5 0

2 years ago

For an activity in class, student used pieces of string to measure road on a map. They used a map scale to determine the distanc

ivanzaharov [21]

Answer:

Step-by-step explanation:

85miles¯\_(ツ)_/¯

7 0

2 years ago

The perimeter of a rectangle is 132 feet and its area is 1080 square feet. find the dimensions

FrozenT [24]

2x + 2y=132

xy=1080

Let x=1080/y

2160/y + 2y=132
2y^2 - 132y +2160=0
2(y^2-66y+1080)=0
2(y-30)(y-33)=0
y=30 or y=33
(36,30) or (30,36)

So... x=30,36 and y=36,30. Either way, the answer is 30 by 36 or 36 by 30.

5 0

3 years ago