What is the solution to x^2 + 12x + 41 = 0 when written in the form a ± bi?

Answer:

28. 120 degrees

29. 30 degrees

30. 56 degrees & 124 degrees

31. 72 degrees, 108 degrees, and 18 degrees

Step-by-step explanation:

We assign variable x for the answer we are looking for (28-29).

28.

Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.

29.

Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.

30.

Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.

31.

Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees.  Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees.  Therefore, x = 72 degrees, y = 108 degrees.

Answer: 10

Step-by-step explanation:

using ratio;

[tex]\frac{4}{x} =\frac{2}{5}[/tex]

[tex]\frac{4}{2} = \frac{x}{5}[/tex]

2 × 5 = x

x = 10

please give me a brainliest answer

Answer:

1 out of 9

Step-by-step explanation:

I did this on khan academy a minute ago

Probability that both marbles are teal is 0.0571

Probability is a field of mathematics concerned with numerical representations of the likelihood of an event occurring or a statement being true.

Number of yellow marbles = 27

Number of teal marbles  = 9

Probability that both marbles are teal

[tex]=\frac{9}{36}\times \frac{8}{35} \\=0.0571[/tex]

Hence the probability that both marbles are teal is 0.0571.

Learn more about the probability at

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see the attachment

hope it helps

Answer:

Step-by-step explanation:

5(2x – 3) = x – 15 + 9x

10x-15=10x-15

10x-10x=15-15

0=0

Answer:

{-8, -7, 0, 6, 9}

Step-by-step explanation:

1. The range of a relation is the set of its possible output values, also known as the y-values of a function.

2. Let's find the y-coordinate of each point.

3. Now, let's order them (from least to greatest) to get the range.

Therefore, the range of this relation is {-8, -7, 0, 6, 9}.

Answer:

67

Step-by-step explanation: because your x for y and x

Answer:

6; 22; 20 (ft.)

Step-by-step explanation:

1) if the length of the each side are: n; 4n-2 and 4n-4, then the expression of the perimeter can be written: P=n+4n-2+4n-4 or P=9n-6.

2) if according to the condition perimeter is 48 (ft.), then

9n-6=P; ⇔ 9n-6=48; n=6.

3) if n=6, then the required lengths of the sides are:

n=6 (ft.);

4n-2=22 (ft.);

4n-4=20 (ft.)

Answer:

Reciprocal is -1/16

opposite is +16 or 16

so answer is 16 is opposite of -16

Answer:

length of an arc = θ/360 × 2πr

θ=116°

r=2

π= 3.14

l= 116/360 ×2×3.14×2

l= 4.047= 4.05cm

Answer:

2.5%, 0.125, 1/4

Step-by-step explanation:

Answer: y= 2x + 3

Step-by-step explanation:

Point slope formula: y = mx + b

Since the given point is (8,19), 19 is our y, and 8 is our x. Since the slope is 2, our m is 2.

Sub in values.

y = mx + b

19 = 2(8) +b

19 = 16 + b

b = 19-16

b = 3

Now that we have m and b, we can make the equation.

y = mx + b, sub in 2 for m and 2 for b

y = 2x + 3

19 = 2(8) + 3

19 = 16 + 3

19 = 19

So the answer is y = 2x+3

Answer:

y intercept is where it crosses the y axis so therefore the 9 intercept has got to be 9.

the roots of the graph show that:

zeros: -3, -1, 1, 3 y-intercept: 9

Answer:

Step-by-step explanation:

Add the -5.57 to both sides then divide it by 2 which is -0.91

If you want to have

[tex]x^2-14x = (x+b)^2+c[/tex]

notice that expanding the right side gives

[tex]x^2-14x = x^2+2bx+b^2+c[/tex]

so that

[tex]\begin{cases}2b=-14 \\ b^2+c=0\end{cases}[/tex]

It follows that b = -7 and c = -49. Then

[tex]x^2-14x = \boxed{(x-7)^2-49}[/tex]

Answer:

7x

Step-by-step explanation:

when you add -1 aka -x to 8 8x it takes away one, so 7x

Answer:

Step-by-step explanation:

There are 5 red marbles out of 8.

The probability of the first red:

Now we have 7 total marbles and 4 of them are red.

The probability of the second red:

The probability of two red is:

Answer: 0.3

Step-by-step explanation:

i used a calculator ya hope this helps

Answer:

so there is 29 swimming tbh ion knoe

Step-by-step explanation:

umm just add 24+5+1 yeah!

Answer:

since the other answer is wrong

                        so this is what it would look like

                              ducklings            

                                  5                     20      

                               adult ducks

                                    1                     4

                               total ducks

                                   6                   24

x^2 + 15x + 56

Good way to factor quadratic functions:

In a function x^2 +bx + c

Find two number that when multiplied together will form c (in our case 56) and that when added together form b (in our case 15)

Number 1 x Number 2 = 56

Number 1 + Number 2 = 15

Number 1 = 8

Number 2 = 7

(It'll be easier to find these numbers with practice)

Now in the function instead of bx, split it and use (number 1)x + (number 2)x

It's allowed because it's the same value since N1 + N2 = bx already

x^2 + 15x + 56

Now is:

x^2 + 8x + 7x + 56

Now you can factor this function much easily because it can transformed into:

(x + 8)(x) + (x + 8)(7)

x + 8 is the common factor

it can become:

(x + 8) (x + 7)

The sides of the rectangle are 8 and 7

Hope this helps you with factoring :)

Answer:

-4(3x-5)

Step-by-step explanation:

you pull out a -4

16, 17.75, 19.5, 21.25, 23, 24.75

The required first five-term of the geometric progression is 16, 28, 49, 85.75, 150.06.

Given that,
A geometric sequence h starts at 16 and has a growth factor of 1.75 what are the first 5 terms is to be determined.

Geometric progression is sequence of series whose ratio with adjacent values remains same.

Here,
For the geometric progression,
a = 16
r = 1.75
The required sequence is given as,
1st = a = 16
2nd = ar = 16 (1.75) = 28
3rd = ar² = 16(1.75)² = 49
Similarly,
4th = 85.75
5th = 150.06

Thus, The required first five-term of the geometric progression is 16, 28, 49, 85.75, 150.06.

Learn more about geometric progression here: https://brainly.com/question/4853032

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Answer:

Positive 1 over 6 raised to the 2nd power 1/62 or 1 over 36 which is 1/36. To find -6-2, take the inverse of -62.

(first find -62) -62 = -6 * -6 = 36

(then take the inverse of 36, which is 1 over 36) = 1 / 36 = 0.0277

so, -6-2 =0.0277

Step-by-step explanation:

Answer:

whqt other dude said B)

Step-by-step explanation:

Answer:

sending love to you that work is hard

Answer:

Assuming that the multiplicities of the five aforementioned                         roots ( {0, 5, 1, 3i, -3i} ) are each 1, the 6th zero can be any real number.  

Step-by-step explanation:

Because P(X) has real coefficients, and 3i is a zero, we conclude that -3i is also a zero of P(X).  Assuming that the multiplicities of the five aforementioned   roots ( {0, 5, 1, 3i, -3i} ) are each 1, the 6th zero can be any real number.  

Step-by-step explanation:

Area of a Triangle:

bh/2

8 ft is the given height

6 ft is the given base (or width)

(8)(6)/2

48/2

= 24 ft²

In addition to this, we will have to find the area of the semicircle.

Area of a Semicircle:

πr²/2

The question tells us to use 3.14 in place of π.

3.14r²/2

The diameter is 8 ft as it is given to us in the diagram, but in the formula we would have use the radius, and because the radius ia half of the diameter we will divide 8 by 2.

8/2

= 4

3.14(4)²/2

Solve...

3.14(16)/2

50.24/2

= 25.12 ft²

Now that we have found the area of both the triangle and the semicircle, we can add them together to find the area of the figure.

24 ft² + 25.12 ft²

= 49.12 ft²

Our final answer is A=49.12 ft² because it is already in the hundredths place.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]y = 7x - 48[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{\underline{Point-Slope Form Is:}}}\\\\y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\\\boxed{\text{\underline{Key:}}}\\\\$\bullet \text{ }(x_1,y_1) - \text{Point Given}\\\\$\bullet \text { } m - \text{Slope Given}\\\rule{150}{0.5}\\\\\boxed{\text{\underline{Information Given:}}}\\\\$\bullet\text { } (7,1) - \text{Point}\\\\$\bullet\text{ } 7 - \text{Slope}\\\rule{150}{0.5}\\\\\text{Replace the variables with the appropriate value.}\\\\y-y_1=m(x-x_1)\\\\\text{\textbf{Becomes...}}\\\\[/tex]

[tex]\boxed{y-1=7(x-7)}\\\rule{150}{0.5}[/tex]

[tex]\boxed{\text{\underline{Converting into Slope-Intercept:}}}\\\\y-1=7(x-7)\\\rule{150}{0.5}\\\\\rightarrow y - 1 = 7x - 49\\\\\rightarrow y - 1 + 1 = 7x -49 + 1\\\\\rightarrow \boxed{y=7x -48}\\\rule{150}{0,5}[/tex]

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

2.016

Step-by-step explanation:

In your equasion, I couldn't tell if you need to multipy 0.8^2 by 3.15 or are you asking something else? If you want to multiply, the answer is 2.016.

Answer:

The scientific notation:11,200×10^1

1,120×10^2

112×10^3

11.2×10^4

1.12×10^5

0.112×10^6

Step-by-step explanation:

PLS MARK BRAINLIEST