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2 years ago

Find the product and fill in the blanks to write in standard complex number form

1 answer:

3 0

X^2 +2x +10 = 0

D = 4 -40 = - 36

x_1,2 = (-2 +/- sqrt(-36))/2 = (-2 +/- 6i)/2 = 2(-1 +/- 3i)/2 = -1 +/- 3i

x_1,2 = -1 +/- 3i or more understandably

x_1 = -1 -3i and x_2 = -1 +3i

hope this will help you

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What's proportional reasoning and what does it mean for something to be proportional?

qwelly [4]

Proportional reasoning is the ability to compare two things using information given, in math, it is most frequently defined as comparing quantities. For something to be proportional, there has to a constant ration of another quantity.

6 0

2 years ago

The weight of an object on Earth varies directly as the weight of the same object on the moon. A 300 pound object on Earth would

slava [35]

Answer: 12 pounds.

Step-by-step explanation:

To solve this question, we'll use the direct proportion which is.

y = kx

Where,

y = weight on moon = 48 pounds

x = weight on Earth = 300 pounds

k = Unknown

y = kx

48 = 300k

k = 48/300

k = 0.16

The weight that a 75 pound object on Earth would weigh on the moon will be:

y = kx

where,

y = weight on moon = Unknown

k = 0.16

x = weight on Earth = 75 pounds

y = kx

y= 0.16 × 75

y = 12 pounds

The weight on the moon will be 12 pounds.

7 0

3 years ago

Someone please help me with this!

Sveta_85 [38]

5(14-2)^2/2

5( 12)^2/2

Do the exponent

5(12*12)/2

5(144)/2

144/2= 72

72*5= 360

Answer : 360

8 0

2 years ago

Consider the expression. What is the result of applying the quotient of powers rule to the expression?

fenix001 [56]

Answer:

Let us consider the expression:

$\frac{a^5\cdot b^6}{a^2\cdot b^9}$ (1)

Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign

And adding if powers are with opposite sign.

We will solve equation (1) by this quotient of power rule.

So, it can be rewritten as:

$a^{5-2}\cdot b^{6-9}$

$\Rightarrow a^{3}\cdot b^{-3}$ .

8 0

3 years ago

Read 2 more answers

Please help! Find the domain of y = 4 square root 4x + 2

olga55 [171]

Answer:

x ≥ -1/2

Step-by-step explanation:

We know that we cannot graph imaginary numbers. Therefore, our <em>x </em>value has to be greater than or equal to 0:

To find our domain, we need to set the square root equal to zero:

√(4x + 2) = 0

4x + 2 = 0

4x = -2

x = -1/2

We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2

Alternatively, we can graph the function and analyze domain:

3 0

2 years ago