What are the real and imaginary parts of the complex number?

−7+8i



Enter your answers in the boxes.

Answer:

Step-by-step explanation:

The the terms be x and y

The sum of the terms = x+y

Difference of terms = x-y

Product of the sun and differences will be expressed as:

(x-y)(x+y) = x²-xy+xy-y²

(x-y)(x+y) = x²-y²

Hence the product of the terms is equivalent to the difference of two squares of the terms

Answer:

No solution

Step-by-step explanation:

if you replace the y with -2x-6 into the first equation, you will get rid of the x's which it gives you the hint that there is no solution.

Answer:

101  

Step-by-step explanation:

100- (-1) NEGATIVE MINUS NEGATIVE CANCEL OUT ON EACH OTHER AND GIVE POSITIVE: 100 + 1 = SO THE ANSWER IS  101^F

The difference between these two extreme temperatures is of

101° F.

We have the highest temperature recorded in the town of Westgate which is equal to 100°F. Last winter, the lowest temperature recorded was -1°F.

We have to find the difference between these two extremes.

Degree of hotness or coldness measured on a definite scale is called Temperature. When the temperature of the body is high it is called hot body and when it is low it is called cold body.

According to question, we have -

Highest temperature recorded = 100°F

Lowest temperature recorded = -1°F

Let the the difference between these two extreme temperatures be x. Then -

x = Highest temperature recorded - Lowest temperature recorded

x = 100 - (- 1) = 101° F

Hence, the difference between these two extreme temperatures is of

101° F.

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Answer:A 4n+1

Step-by-step explanation: found the answer key

If the first term of an arithmetic sequence is 5 and the third term of the sequence is 13 then the nth term is A) 4n +1.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference(d).

aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, The first term of an arithmetic sequence is 5.

The third term of the sequence is 13.

As we can conclude that for 2 terms the common difference is increased by 8.

∴ Common difference (d) = 8/2 = 4.

Now, we know the nth term of an arithmetic sequence is,

aₙ = a₁ + (n - 1).d.

aₙ = 5 + (n - 1)×4.

aₙ = 5 + 4n - 4.

aₙ = 4n + 1.

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Answers:

1.

a. 20%

60/300 × 100/100

= ( 60 × 100 / 300 ) × 1/100 = 20/100

Calculator: 60 ÷ 300 × 100

b. 90%

270/300 × 100/100

270/300 × 100/100= ( 270 × 100 / 300 ) × 1/100 = 90/100

Calculator: 270 ÷ 300 × 100

c. 58.33%

175/300 × 100/100

100/100= ( 175 × 100 / 300 ) × 1/100 = 58.33/100

Calculator: 175 ÷ 300 × 100

2.

a. 35 Students

Calculator: 10 × 350 / 100

b. 93

Calculator: 10 × 930 / 100

c. 118

Calculator: 10 × 1180 / 100

d. 1036

Calculator: 10 × 10,360 / 100

3.

a. 11.1 (Repeated)

Calculator: 50 / 450 × 100%

b. 6.67 (6 Repeated)

Calculator: 50 / 750 × 100%

c. 4.167 (6 Repeated)

Calculator: 50 / 1200 × 100%

Hopefully this helps:)

Answer:

the first one

Step-by-step explanation:

g(x) is f(x) plus 3, so it is being translated up

Answer:

D

Step-by-step explanation:

you already have the hypotenuse, you're looking for a way to find one of the sides. well 7 squared is 49 and 2 squared is 4. 49-4 is 45 and you can't take the square root of 45 evenly so you leave it under the radical, aka D, your answer.

Answer:

The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

Let us solve the question:

∵ The line passes through the points (-3, -2) and (3, 6)

∴ x1 = -3 and x2 = 3

∴ y1 = -2 and y2 = 6

→ Use the rule of m to find it

∵ [tex]m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}[/tex]

→ Simplify it by dividing up and down by 2

∴ m = [tex]\frac{4}{3}[/tex]

→ Substitute its value in the form of the equation above

∴ y = [tex]\frac{4}{3}[/tex] x + b

→ To find b substitute x and y by x1 and y1

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

∴ -2 = -4 + b

→ Add 4 to both sides

∴ -2 + 4 = -4 + 4 + b

∴ 2 = b

→ Substitute it in the form of the equation

∴ y = [tex]\frac{4}{3}[/tex] x + 2

∴ The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2

Answer:

You can't answer this question since there is no picture. Remember though the any 2 angles that make 180 degrees or resembles a line is 180 degrees.

Answer:

x = 47°

Step-by-step explanation:

This is an exterior angle property, one of the properties in a triangle. The exterior angle theorem states that if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.

Answer:

x=45.6

Step-by-step explanation:

(2x-2)+x+45=180

Combine like terms.

3x+43=180

Subtract 43 on both sides.

3x+43=180

   -43 -43

3x=137

Divide by 3 on both sides.

3x=137

/3   /3

x=45.6

(I'm not sure if it's right because it's a decimal, but...)hope this helps!!!!! Have an amazing day c:

Answer:

$81.25

Step-by-step explanation:

first change the percent into a decimal by moving the point 2 spaces to the left. then multiply that decimal by the asnwer to see how muhc money she's getting off. Finally subtract the total by that number.

Answer:

and?

Step-by-step explanation:

Answer:

It can be solved in many forms

one by replacing each point to see which one satisfy the equation or by using quadratic formula

so the right answer is the fourth one

Answer:

1 I think

Step-by-step explanation:

Change in y

--------------------

Change in x

Answer:

(1) 8 (2) 12

Step-by-step explanation:

PEMDAS

Answer:

(5,6)

Step-by-step explanation:

since it is reflected over x axis, y value will flip sign

Answer:

given, verticals angle thm, definition of supplementary, {you need to see the pic for it}, substitution, and you need to see the pic for the rest so i can’t help

can you go answer my question tho

Step-by-step explanation:

This is my explanation thus sucks and half the timem you guys dont even have the right answer . So this is my answer for you at leatst try to get it tight because if you dont try you wont suceed

Given parameters:

Elevation of Town M = 282ft

Elevation of Town R = 679ft

Unknown:

How much higher is Town R than M = ?

Solution:

Town M lies below the sea level whereas Town R is above the sea level.

     Graphically:

                                    Town R   679ft

                                         ↑

                                         ↑

                                         ↑

                                         ↑

                                    ↔↔↔  Sea level

                                         ↓

                                         ↓

                                    Town M     282ft

Town R is 282ft + 679ft higher than Town M  = 961ft

Answer:

b = (looks to be) -3.5

m = [tex]\frac{1}{2}[/tex]

Type of Slope = Positive, linear

Equation = y = [tex]\frac{1}{2}[/tex]x - 3.5

Step-by-step explanation:

question is not clear

E:The answer is 140 because seven times five times four equals 140.

Answer:

45

Step-by-step explanation:

I multiplied 7 x 9 and got 63 so I figure 5 x 9 is right.

Answer:

x = $80 rate of change

y = total amount the store earns

m = the amount of hours store is open

b = $150 starting point when x is 0

Step-by-step explanation:

y=8x-150

Answer:

201

Step-by-step explanation:

I'm smart ok trust me ON this one if I'M wrong at least I tried

Answer:

<5 = 105 degrees

Step-by-step explanation:

From the description given, since line l is parallel to m then <4 is alternate to <5 and two alternate angles are equal, if thst is the case

<4 = <5 (alternate angle)

Since <4 = 105 degrees, hence m<5 = 105 degrees

Answer:

Domain = {-2, 2, 3, 4, 5}

Range= {6, 0, 6, -1, 3)

It is a function

Step-by-step explanation:

It is a function because there is only one y value for each x value