Simplify the expression (2−3i) (5+i) by distributing. Express your answer in a+bi form, Step by Step.

Answer:

-12

Step-by-step explanation:

Step1: Add 3 to both sides of the equation

2x -3 = 5x +6

    +3         +3 = 9

Step2: subtract 5x from both sides of the equation

2x = 5x +9

-5    -5

Step3: divide both sides of the equation by the same term

-3x(/ -3) = 9(/-3)    

Step4: multiply -3 with 2

-3x2= -6

Step4: subtract -6 with 3

-6 - 3= -9

Step5: add the -9 to -3

-9 + -3 = -12

ANSWER: -12

Answer: REMEMBER (X, Y)

x(4 1/4, 0)

y(0, -5 2)

Step-by-step explanation:

Find the x-intercept

To find x intercept subtract y equals 0

4 x - 3 × 0 = 17

Any equation multiplied by  0 equals 0

4x - 0 = 17

When adding or subtracting zero quality does not change

4x = 17

Divide both sides of the equation by 4

x = 17/4

Solution

X = 17/4

Alternate form

X = 4 1 / 4, x = 4.25

Find y-intercept

To find y intercepts subtract x equals 0

4 × 0 - 3y = 17

Solve the equation for y

Y = -17 / 3

Solution

y = -17 / 3

Alternate form

y = -5 2 / 3, y = -5.6

Answer:

let natural no be x

(x-20)=96/x

x²-20x-96=0

x²-24x+4x-96=0

x(x-24)+4(x-24)=0

(x-24)(x+4)=0

either

x=24

x=-4

Answer:

m = -5

Step-by-step explanation:

Complete question :

Anna has a box of chocolates. In the box there are milk, plain and white chocolates in the ratio 4:3:2. The box contains 72 chocolates altogether. Anna doesn't like white chocolates. Work out the probability that she will pick a chocolate that is not white?

Answer:

7 / 9

Step-by-step explanation:

Calculate the number of each type of chocolate :

Milk : plain : white = 4 : 3 : 2

Total ratio = (4 +3 +2) = 9

Milk = (4/9) * 72 = 32

Plain = (3/9) * 72 = 24

White = (2/9) * 72 = 16

Probability of picking a chocolate that is not white :

Number of non-white :

(plain + milk) = (24 + 32) = 56

Probability = (required outcome / Total possible outcomes)

P(not white chocolate) = (number of non-white / total number of chocolates)

= 56 / 72

= 7 / 9

Answer:

x=6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

11=x+5 so 5+ what = 11 so, 6

Answer: 140

Step-by-step explanation: since 4 = 40 then 2 would also be 40 because they are the same angle (Keep in mind that a line is 180 degrees) 180-40=140! Good luck! :D

Answer:

C. CD and DH

D. EH and GH

F. AD and DH

H. AB and BC

K. FG and EF

Step-by-step explanation:

hope this helps

Answer:

b. 144 degrees

Step-by-step explanation:

(n-2)(180)

10-2=8

8*180=1440

The polygon has 10 sides so divide by 10

1440/10= 144

Answer: z = -3

Step-by-step explanation:

2/3z = -2

2z = -6 (Multiply both sides by 3)

z = -3 (Divide both sides by 2)

Answer:

For one hour Luke biked uphill 3 miles. After biking 3 miles uphill for one hour Luke stopped  at the store for 2 hours.

Step-by-step explanation:

Answer:

a= -3.

Step-by-step explanation:

-2a -9= 6a+ 15

⇒ -2a -6a= 15+ 9

⇒ -8a= 24

⇒ a= 24/(-8)

⇒ a= -3

Answer:

x = -5

Step-by-step explanation:

If g(x) = 22 and g(x) = -4x + 2, then -4x + 2 = 22.

Isolate x.

-4x = 22 - 2

= -4x = 20

= x = 20 ÷ -4

= x = -5

Answer:

Look at picture attached

Step-by-step explanation:

I have created the graph on DESMOS. I recommend you use that website as it helps a lot with visualizing graphs :)

Edit: The second attachment shows the point you can plot.

Answer:

v= -5.8

Step-by-step explanation:

-12v+1+2v=57

-10v+1=57

-10v=58

v= -5.8

Answer:

The concession stands needs to sell 14 or more bags.

Step-by-step explanation:

Given that:

Cost per bag of popcorn = $2.50

Number of bags already sold = 30

Cost of 30 bags = 30*2.50 = $75

Bags needs to be sold to make $110 = x

2.50x + 75 ≥ 110

2.50x ≥ 110-75

2.50x ≥ 35

Dividing both sides by 2.50

[tex]\frac{2.50x}{2.50}\geq \frac{35}{2.50}\\x\geq 14[/tex]

Hence,

The concession stands needs to sell 14 or more bags.

Answer: 1

Step-by-step explanation:

first, i multiplied it all out.

1.5^2/1.5^2

then, i simply divided it all.

1

Answer:

16

Step-by-step explanation:

18-16÷8

18-2

16

order of operation

power division thn subtraction

Answer:

4

Step-by-step explanation:

you have to solve the power first

18-(4*4)/8

18-16/8

2/8

4

Answer: 6

Step-by-step explanation:

The the scale factor being used to enlarge the photo is 6. Therefore, option B is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, the photo below is being enlarged to form a 24- by 30-inch print.

In the figure, the dimensions are 4 inches and 5 inches.

Scale factor = 24/4 = 6

and 30/5 = 6

Therefore, option B is the correct answer.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

Answer:

25xwith an exponent of 2 minus 16y with an exponent of 2

Answer:

points I want ... use of this communication

Answer:8/9

Hope this helps!!!!!!!

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Answer:

46050

Step-by-step explanation:

75x614

Answer:

$8.20

Step-by-step explanation:

614 divided by 75 is 8.18666666667. Rounded to the nearest tenth is 8.2.

Answer:

The correct options are;

A. [tex]-\dfrac{8}{3} \ miles[/tex]

D.  [tex]2\dfrac{2}{3} \ mile[/tex] below sea level

Step-by-step explanation:

The given parameters are;

The distance Sasha travels down before a stop = -2/3 mile

The level at which Sasha starts to hike into the canyon = Sea level

Therefore, we have;

Her elevation at the fourth rest station = 4 × -2/3 mile = -8/3 miles

Therefore, we have;

-8/3 mile = [tex]2\dfrac{2}{3} \ mile[/tex] below sea level

Therefore, the correct options are;

-8/3 mile and  [tex]2\dfrac{2}{3} \ mile[/tex] below sea level.