Simplify the expression to a + bi form:
(-10 + 8i) - (-4 - 4i)

Answers

Answer 1

Answer:

i = 1/2 Or 0.5

Step-by-step explanation:

-10 + 8i + 4 + 4i = 12i - 6

12i = 6

i = 1/2 Or 0.5


Related Questions

What is the slope? The y-intercept? Write the y-intercept as a coordinate.

Answers

Answer:

The y intercept is (0,-3) The slope is 7/1 i think  

Calculate the following using the Density Formula: What is the volume of the Ms. Gonsalez's phone that he dropped in his sink, if the mass of the phone is 12.4 g and the density is 6.2 g/mL? *

Answers

Answer:

2 mL³

Step-by-step explanation:

Use the density formula, D = m/v, where m is the mass and v is volume.

Plug in the mass and density, then solve for the volume:

D = m/v

6.2 = 12.4/v

6.2v = 12.4

v = 2

So, the volume is 2 mL³

If a person run 1.3 miles in 10 minutes, how far can he run in 2.5 hours?

Answers

Answer:

23.4m

Step-by-step explanation:

1 hour = 60 min

2.5 hours = 180 min

180 ÷ 10 =18

18 × 1.3 = 23.4

23.4 miles...........

Write rational number -3/8 as the quotient of two integers in two different ways I think the answer is
3/-8 and -3/8

Answers

Answer:

sor

Step-by-step explanation:

what is the largest exponent in a polynomial

Answers

degree

The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient. The constant in a polynomial has no variable written next to it.

yeah what they said

#3: Create an equation that include at least 3 steps and the
distributive property that has a solution of 6.

Answers

only if u help me with a problem

Franco made a dozen muffins for his party. Upon taking them out of the oven, he noticed that 2 of the muffins were badly burned. Franco served 710 of the remaining muffins. Which equation shows the fraction of the non-burned muffins that remains? A. 1212−712=512 B. 1010−710=310 C. 1212−512=712 D. 1010−310=710

Answers

Answer:

10/10 - 7/10 = 3/10

Step-by-step explanation:

Muffins made = 12

Burnt muffins = 2

Good muffins = 12 - 2 = 10

Franco served 7/10 of the remaining muffins

Muffins served = 7/10 × 10

= 7

Muffins unserved = 10 - 7 = 3

Fraction of the non burned muffins remaining = non burned muffins - served muffins

= 10/10 - 7/10

= 3/10

The answer is B

PLEASE ANSWER THIS ASAP

Answers

I would say no.
Let me know if you got it right

Four student are each trying to raise the same amount of money for a class trip. The table below shows how much of each student's goal has been met.

Answers

Answer:

the answer is  5/8, 65%, 2/3, 0.7

Step-by-step explanation:

What value of c makes the equation true?

Answers

let's solve your equation step-by - step

-3-3/4(c-4)=5/4

Step 1: simplify both sides of the equation.

-3-3/4(c-4)=5/4

-3+-3/4 c+3=5/4 (distribute)

(-3/4 c)+(-3+3)=5/4 (combine like terms)

-3/4c=5/4

-3/4 c =5/4

Step 2: Multiply both sides by 4/(-3)

(4/-3)*(-3/4 c)=(4/-3)*(5/4)

Answer:c=-5/3

Answer:

[tex]-\frac{5}{3}[/tex]

Step-by-step explanation:

Hi there !

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

Good luck !

621126.4862 divided by 126.48 ​

Answers

Answer:

4910.8672217

Step-by-step explanation:

I dont have a step by step, i am so sorry

Answer:

4910.8672217

Step-by-step explanation:

What is 75% of 30 menutes

Answers

Answer:

22.5

Step-by-step explanation:

:)

3 message Bill weighs 120 pounds and is gaining 10 pounds per month. Phil weighs 204 pounds and is losing 4 pounds per month. How many months will it take for Bill to Weigh the same as Phil? Write an equation to solve this problem

Answers

Answer:

6 months

Step-by-step explanation:

120 +10x = 204 - 4x

10x + 4x = 204 - 120

14x = 84

x = 6

3.The snow starts at a depth of 10 inches and melts to 2 inches over the span of 4 hours. Determine the rate of change over the interval 0≤x≤4

A.4 inches per hour

B.2 inches per hour

C.8 inches per hour

D.12 inch per hour

4.The population in a neighborhood increased from 120 to 156 people from 1990 to 1994. Find the rate of change over the interval 1990≤x≤1994.

A.1/9 of a person per year

B.9 people per year

C.36 people per year

D.4 people per year

5.The temperature increases from 60 degrees Fahrenheit to 84 degrees Fahrenheit from 8 in the morning to 12 in the afternoon. Find the rate of change over the interval 8≤x≤12

A.16 of a degree Fahrenheit per hour

B.4 degrees Fahrenheit per hour

C.6 degrees Fahrenheit per hour

D.24 degrees Fahrenheit per hour

Answers

The answer is A 4 inches per hour

Step-by-step explanation:

#4: 156-120= 36

36÷4=9

Answer: B; 9 people per year

Step-by-step explanation:

#5: 84-60=24

24÷4=6

Answer: C; 6 degrees Fahrenheir per hour

Help me and explain please I’m struggling

Answers

Angle A = 34°

Because we know that angle AEB and BED are equal to 90°
And we know angle EBC is bisected by line BD which means the angle measures of EBD and BDC are congruent.
First we need to figure out the angles in the triangle on top, triangle EBD and we already know 2 angle measures know, 28° and 90° so we subtract those two numbers from 180 to get 62°
(The reason we subtract from 180 is because the angle measure of a triangle all together equal 180)
And based on what we said earlier (the angle measures of EBD and BDC are congruent.) the angle EBD and BDC are both equal to 62°. This means angle EBC is equal to the sum of 62 and 62, 124°. And EBC + EBA= 180° because it’s a straight angle. So to get angle EBA we subtract 124 from 180 to get 56°.
Now we can find a we just need to subtract 56 and 90 from 180, when we do that we get 34 which means that angle A is 34°

Hi :) how to do part 4?

Answers

Answer:

15(iv) 68 units²

Step-by-step explanation:

Please see the attached picture for full solution. (Pictures 1 &2)

*I also did Q15 part (iii) by accident so I have also attached its working above if you need it. (Picture 3 and onwards)

7. Cassidy's family is driving home
from vacation at an average speed
of 55 mph. After 2 hours they
are 110 miles from home. What
is an equation in point-slope that
represents their distance from
home, y, after x hours?

Answers

Answer:

The equation in a point-slope form that  represents their distance from

home, y miles, after x hours, is y - 110 = 55(x - 2)

Step-by-step explanation:

The point-slope form of the linear equation is

[tex]y-y_{1}=m(x-x_{1})[/tex] , where

m is the slope of the line (average)

[tex](x_{1},y_{1})[/tex] is a point on the line

→ The family is driving home  from vacation at an average speed

    of 55 miles per hour

∴ m = 55

→ After 2 hours they  are 110 miles from home

∵ x is the number of hours

∵ y is the distance in miles after x hours

∴ [tex]x_{1}[/tex] = 2

∴ [tex]y_{1}[/tex] = 110

→ Substitute these values in the form of the equation above

∴ y - 110 = 55(x - 2)

The equation in a point-slope form that  represents their distance from

home, y miles, after x hours is y - 110 = 55(x - 2)

Let x = the length of the shorter piece of rope. x + (1/2)x = 24 (3/2)x = 24 (2/3)(3/2)x = (2/3)(24) x = 16 The lengths of rope are 16 feet and 8 feet. A student solves the problem to the left as shown. Which statements describe the solution? Check all of the boxes that apply.

Answers

Answer:

Step-by-step explanation:

Given the question

A rope is 24 feet long. It is cut into two pieces such that one piece is half the length of the other. Find the lengths of the two pieces of rope.

Options

The stated solution is correct (lengths of 16 feet and 8 feet).

Based on the way the variable is defined, the equation should be x + 2x = 24.

The equation is written correctly, but there is an error in solving the equation.

The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.

2

Let the length of one piece be x (shorter piece) and the other be y.

If the rope is cut into two pieces and 24ft long, then;

x+y = 24.......... 1

If one piece is half the length of the other, then x = y/2..... 2

substitute equation 2 into 1

y/2 + y = 24

take the LCM

y+2y/2 = 24

3y/2 = 24

cross multiply

3y = 48

Divide both sides by 3;

3y/3 = 48/3

y = 16 feet

Since x = y/2

x = 16/2

x = 8 feet

Based on the calculation above, I can conclude that;

- The student stated solution is correct (lengths of 16 feet and 8 feet)

- The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.

- Based on the way the variable is defined, the equation should be x + 2x = 24.

what is 0.4repeating as a fraction?

Answers

Answer:

11/25

Step-by-step explanation:

Find the midpoint between (1 , -2) and (-10 , 1)

Answers

Answer:

5555665555555555555

Answer:

[tex](\frac{9}{2},-\frac{1}{2} )[/tex]

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

factor the trinomial x²-11x+30?​

Answers

Answer:

(x-5)(x-6)

Step-by-step explanation:

when we look at something like this we have a, b, and c

a=1 (in front of x)

b=-11

c=30

our goal is trying to find factors of c that will give us b so in this case factors of 30 that will give us -11

so when you list all the factors of 30 you find that 6 and 5 both equal 30 when multiplied and add up to 11

but... we need -11 so if we change the signs both to negative that will give us a -11 when added and also a positive 30 when multiplied (-6)(-5)

so we then write it as (x-6)(x-5)

and if you FOIL that out you will end up getting the original equation :)

hope this helps!

please help. find the measure of all missing angles.

Answers

Answer:

M1= 62 M2= 45 M3= 24

Step-by-step explanation:

For angle 1:

180-118 = 62

Angle 2:

180- (73+62)

Angle 3:

part 1

180-73= 107

part 2

180-(107+49)= 24

Answer:

Step-by-step explanation:

You have to solve for 1 before you do anything.

<1 + 118 = 180                The two left angles are supplementary

<1 +118-118=180-118

<1 = 62

Now you can go after angle 2

<1 + 73 + <2  =  180         All triangles have 180 degrees

62 + 73 + <2 = 180         Combine the left

135 + <2 = 180                Subtract 135 from both sides.

135-135+<2 = 180-135     Combine

<2 = 45

Angle 3 is a little trickier because the angle you need to find <3 is not labeled.

73 + x = 180

x = 180 - 73

x = 107

NOw you can find <3

107 + 49 + <3 = 180

156 + <3 = 180

<3 = 180 - 156

<3 = 24

I have left out the reasons for <3. Maybe you can supply them.

3-2(x + 1)=2x-7
SOLVE AND HOW MANY SOLUTIONS ?

Answers

Answer:

2

Step-by-step explanation:

3−2(x+1)=2x−7

3+(−2)(x)+(−2)(1)=2x+−7(Distribute)

3+−2x+−2=2x+−7

(−2x)+(3+−2)=2x−7(Combine Like Terms)

−2x+1=2x−7

−2x+1=2x−7

Step 2: Subtract 2x from both sides.

−2x+1−2x=2x−7−2x

−4x+1=−7

Step 3: Subtract 1 from both sides.

−4x+1−1=−7−1

−4x=−8

Step 4: Divide both sides by -4.

−4x−4=−8−4

x=2

Solve the inequality.

||2x−1|−2|>3

Answers

Answer:

x > 3

Step-by-step explanation:

One formula for pressure, p, is given by the formula p = F/A, where F=force measured in pounds, A=Area measured in square inches. What is a possible unit measure for pressure?​

Answers

Answer:

pascal

Step-by-step explanation:

the unit of pressure is pascal or you can divde pounds and square inches in there units

can yall help me plz ​

Answers

Answer:

C. 1/4

Step-by-step explanation:

up 1, right 4

What's 2|–9| – |–2|?

A) –20
B) 16
C) –18
D) 20

Answers

It equals to 2x9-2 so answer is B.

The scale of a set of architectural drawings for a house is 1/2 inch = 1 1/2 feet. A drawing shows a model of a room that is 4 inches long. How would you find the actual length of the room? (In other words, how much you find the length, in feet, of the room in real life?)

Answers

1 1/2 feet is 16 inches. the model is 4 inches long so do 4 divided by 1/2 and you get 8, then multiply 16 x 8 and that equals 128, then divide by 12 and you get 10 2/3 feet

Given f(x) = (2 - x)}, what is the value of f(18)?

Answers

x=18
(2-18)
f(18)= -16

6(−3−x)−2x=14 What is the value of x?

Answers

Answer: x=−4

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

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