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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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Answer and show the work please?

dem82 [27]

(-5/8)(X) = -0.4
(-5/8)(X) = -4/10
X = (-4/10) / (-5/8)
X = (4/10) / (5/8)
X = (4/10)(8/5)
X = (2/5)(8/5)
X = 16/25

Letter D

4 0

2 years ago

Sophia uses 18 beads to make a necklace. Three sixths of the beads are purple. How many beads are purple?

joja [24]

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many beads are purple, multiply the total beads by the fraction of the beads that are purple

$18(\frac{3}{6})=9\ beads$

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

$\frac{3}{6}=\frac{1}{2}=0.50*100=50\%$

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

8 0

3 years ago

If f(x)=x/3 -2 and g(x)=3x^2+2x-6 find (f+g)(x)

umka21 [38]

Answer:

(f + g)(x) = 3x² + (7/3)x - 8

Step-by-step explanation:

To find (f + g)(x), you need to add both the f(x) and g(x) equations together.

f(x) = x/3 - 2 ..... which is equal to ... f(x) = (1/3)x - 2

g(x) = 3x² + 2x - 6

(f + g)(x) = ((1/3)x - 2) + (3x² + 2x - 6) <----- Add both equations

(f + g)(x) = 3x² + (1/3)x + 2x - 2 - 6 <----- Rearrange (2 = 6/3)

(f + g)(x) = 3x² + (7/3)x - 8 <----- Simplify similar terms

6 0

1 year ago

Solve for x in the triangle. Round your answer to the nearest tenth.

rewona [7]

Answer:

i think the answer might be 9

8 0

3 years ago

Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2

nikitadnepr [17]

The equation that matches the given situation is $-2\frac{1}{2}+6\frac{3}{4}=?$ . So, after two moves, Eric's elevation changed $4\frac{1}{4}$ meters above.

We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.

Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.

Given that Eric climbed straight down $2\frac{1}{2}$ meters. So we can write $-2\frac{1}{2}$ .

Again Eric climbed straight up $6\frac{3}{4}$ meters. So, we can write $6\frac{3}{4}$ .

Then the change = $-2\frac{1}{2}+6\frac{3}{4}$

= $-\frac{(2*2+1)}{2}+\frac{6*4+3}{4}$

= $-\frac{5}{2} +\frac{27}{4}$

= $\frac{-(5*2)+27}{4}$

= $\frac{-10+27}{4}$

= $\frac{17}{4}$

= $\frac{4*4+1}{4}$

= $4\frac{1}{4}$

Therefore, the equation that matches the given situation is $-2\frac{1}{2}+6\frac{3}{4}=?$ . So, after two moves, Eric's elevation changed $4\frac{1}{4}$ meters above.

Learn more about subtraction here -

brainly.com/question/24116578

#SPJ10

7 0

1 year ago