PLEASE HELP DESPERATE

Multiply the numerator and denominator by the conjugate of the denominator:

[tex]\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}[/tex]

Simplify:

[tex]\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}[/tex]

Answer:

5/6

Step-by-step explanation:

15/18

Divide the top and bottom by 3

15/3 = 5

18/3 = 6

5/6

I have simplified:)

To simplify, you have to divide the numerator & denominator by 3

BTW,I am also an Acellus student!:)

Answer:

Step-by-step explanation:

Probably it's asking for x so you have to find x in term of a and c

ax = 9c+76

x = 9c+76/a

Answer:

Step-by-step explanation:

I can see your problem. That's one of those questions where the directions are part of the problem. I think you are supposed to solve for x.

ax-76 = 9c                Add 76 to both sides

ax = 9x + 76              Divide by a

x = (9x + 76)/a

Answer:

y=3x-1

Step-by-step explanation:

Answer:

Y = 3X + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x - 2y + 10 = 0 ( subtract 6x + 10 from both sides )

- 2y = - 6x - 10 ( divide terms by - 2 )

y = 3x + 5 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , so

y = 3x + c ← is the partial equation

To find c substitute (- 2, 7 ) into the partial equation

7 = - 6 + c ⇒ c = 7 + 6 = 13

y = 3x + 13 ← equation of line in slope- intercept form

Answer:

BELOW IN BOLD.

Step-by-step explanation:

4/5 + 3/8

= 47 / 49 which id Rational

√100 + √5

= 10 + √5; - Irrational

7√5 - √245

=7√5 - 7√5

= 0  RATIONAL

Next one = 56 so Rational

Last one is Irrational

Answer:

D

Step-by-step explanation:

D is the correct answer

Answer:

Step-by-step explanation:

They should use the conversion factor

1 mile = 5280 feet

To go from feet to miles, you divide by 5280

So,

4224 ft = 4224/5280 = 0.8 miles

The distance between their homes is exactly 0.8 miles

Answer:

1

Step-by-step explanation:

[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]

[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]

[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]

[tex]\\ \sf\longmapsto 5x=11[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]

The approximate length of the wire she attached to the pendant is 50.27

The radius is given as:

r = 8 cm

The approximate length of the wire she attached to the pendant is calculated as:

Length = 2pi r

Where

pi = 3.14

So, we have:

Length = 2 * 3.14 * 8

Evaluate the product

Length = 50.24

Hence, the approximate length of the wire she attached to the pendant is 50.27

Read more about circumference at:

https://brainly.com/question/14283575

#SPJ1

Answer: The answer is 41.13.

Step-by-step explanation: I took the quiz and none of the other answers were correct.

Answer:

3 = 3(x² - 1) We know, any Function f(x) decrease s in interval [a, b] when f'(x) < 0 ... -1 < x < 1. Hence, function f(x) = x³ - 3x - 2 , is decreased in (-1, 1).

Answer:

it can be 5 from my side is that right

Answer:

is ur question right

Step-by-step explanation:

is ur question right

is ur question right

is ur question right

Answer:

[tex]\displaystyle \frac{265}{99}[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] be equal to the fraction form of the decimal.

[tex]x=2.\overline{67}[/tex]

Multiply both sides by 100:

[tex]100x=267.\overline{67}[/tex]

The reason we multiply both sides by 100 is that 2.6767... has two repeating decimals, 6 and 7, and 100 has two zeros.

Now, we have these two equations:

[tex]100x=267.\overline{67}[/tex]

[tex]x=2.\overline{67}[/tex]

Subtract [tex]x=2.\overline{67}[/tex] from [tex]100x=267.\overline{67}[/tex]:

[tex]100x=267.\overline{67}\\- x=2.\overline{67}\\\rule{70}{0.5}\\99x=265[/tex]

Isolate [tex]x[/tex] by dividing both sides by 99:

[tex]\displaystyle x=\frac{265}{99}[/tex]

I hope this helps!

[tex] \sqrt{117} [/tex]

Answer:

(3,2)

Step-by-step explanation:

y = 4x – 10

y = 2

Substitute the second equation into the first

2 = 4x-10

Add 10 to each side

2+10 = 4x-10+10

12 = 4x

Divide each side by 4

12/4 =4x/4

3 = x

The solution is

(3,2)

Answer:

(3,2)

Step-by-step explanation:

y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),

y = 4x – 10 2 = 4x – 10

Add both sides by 10 12=4x

Divide both sides by 4 x=3

We have x=3, and y=2. ==> (x,y) = (3,2) 

Answer:

2 times

Step-by-step explanation:

3/4 × 2 = 6/4, simplified down is 3/2

Answer: the answer is a

Answer:

x ∠ -10

Step-by-step explanation:

Answer:

[tex]x>-10[/tex]

Step-by-step explanation:

[tex]\frac{x}{-2} -3>2[/tex]

[tex]\frac{x}{-2} > 5[/tex]

[tex]x=-2[/tex] × [tex]5[/tex]

[tex]x>-10[/tex]

Answer:

In factor form, the answer is ---> 8a^2b

Step-by-step explanation:

2³a²b

= (2^3) (a^2) b

= 8a^2b

Answer:

1. 1114/117        2. 212/123       3. -256/29       4. -27/79

Step-by-step explanation:

1. 1114/117

2. 212/123

3. -256/29

4. -27/79

Answer:

-4z

Step-by-step explanation:

-3z-z

= -4z

Answer:

-4

Step-by-step explanation:

[tex] - 3z - z[/tex]

[tex] - 3z - 1z[/tex]

[tex]( - 3 - 1)z = - 3 - 1[/tex]

[tex] - (3 - 1)[/tex]

[tex] = - 4z[/tex]

Answer:

The answer is "[tex]\frac{1}{2}[/tex]".

Step-by-step explanation:

Given points:

[tex](-2,3)\\\\(2,5)\\\\[/tex]

average rate=?

[tex]x_1=-2\\\\y_1=3\\\\x_2=2\\\\y_2=5[/tex]

[tex]average\ rate=\frac{y_2-y_1}{x_2-x_1}[/tex]

                     [tex]=\frac{5-3}{2-(-2)}\\\\=\frac{5-3}{2+2}\\\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]

Answer:

no entendi muy bien sorry  

Answer:

66

Step-by-step explanation:

The Empirical Rule states that 68% of data is between 1 standard deviation in a dataset of normal distribution, 95% falls between 2 standard deviations, and 99.7% between 3.

The mean is 450, and one standard deviation is between 450 ± 50 = 400 and 500. Therefore, we can say that 68% of the data falls between 400 and 500 seconds.

The data includes 97 emergencies, so we just need to find 68% of that, which is 0.68*97 = 65.96 (rounding up to 66)

There are 66 emergencies are the response times expected between 400 seconds and 500 seconds.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

mean = 450 sec

standard deviation = 50 sec

Hence, We get;

450-50 =400

450+50=500

Now, In Between 400 sec and 500 sec means one deviation above and one deviation below the mean, and it is 68%.

68% = 0.68

Thus,

0.68 x 97 = 65.96 ≈ 66

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

[tex]C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120[/tex]

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Answer:

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

13.

4n - 40 = 7 (-2n +2)

4n - 40 =  -14n + 14

4n +14n = 14 +40

18n = 54

n = 54 / 18

n = 3

14.

7(5a - 4) -1 = 14 - 8a

35a -28 -1 =  14 - 8a

35a -29 = 14 - 8a

35a +8a = 14 +29

43a = 43

a = 43/43

a = 1

15.

-31 - 4x = -5 - 5 ( 1 + 5x)

-31 - 4x = -5  -5 - 25x

-31 - 4x = -10 -25x

-4x +25x = -10 +31

21x = 21

x = 21/21

x = 1

16.

38 +7k = 8 (k +4)

38 +7k = 8k + 32

38 - 32 = 8k -7k

k = 6

Answer:

x=19/6, x=-9/13, x=33/4

Step-by-step explanation:

1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6

2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13

3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4

Answer:

A

Step-by-step explanation:

Since the theta is in second quadrant, x will be negative and y positive. cos(theta)=-2/sqrt(29)=B/H, the base is 2 and H=sqrt(29). The perpendicular is 5.

Answer:

Step-by-step explanation:

The series is missing from the question. I will answer this question with a general explanation by using the following similar series:

[tex]\sum\limits^6_{n=0} 7^n[/tex]

Required

The series

To do this, we simply replace n with the values

[tex]\sum\limits^6_{n=0}[/tex] means n starts from 0 and ends at 6

[tex]\sum[/tex] means the series is a summation series

So, we have:

[tex]\sum\limits^6_{n=0} 7^n = 7^0 + 7^1 + 7^2 + ...... + 7^6[/tex]

[tex]\sum\limits^6_{n=0} 7^n = 1 + 7 + 7^2 + ...... + 7^6[/tex]

Answer:

0.06

Step-by-step explanation:

Total number of marbles:

6 + 10 + 5 + 1 = 22 marbles

Probability of picking 1 red marble:

red marbles / total marbles

6/22

Probability of picking a green marble:

green marbles / total marbles

5/22

Now, multiply the probabilities:

6/22 • 5/22 = 15/242 = 0.06