Daine simplified the expression below.

8(1 + 2i) – (7 – 3i) = 1 + 5i

What mistake did Daine make?

Answers

Answer 1

Answer:

Step-by-step explanation:

8(1 + 2i) -  (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)

                          = 8 + 16i -7 + 3i

                          = 8 - 7 + 16i + 3i

                          = 1 + 19i

Daniel forgot to multiply 2i by 8

Answer 2

Answer:

A , He did not apply the distributive property correctly for 8(1 + 2i).

on edge

Step-by-step explanation:


Related Questions

Craig threw a handful of identically shaped buttons into the air then collected 14 bottoms that landed on the carpet. Is this sample of the buttons likely to be biased yes or no

Answers

Answer:

possible?? but I think that there is a typo, and that there would not be a bias

Step-by-step explanation:

can we assume that there are no typos in the question

he threw BUTTONS in the air, and look at buttons that landed with the BOTTOMS facing up ??? in that case the weight might bias the orientation of the landing... I think that you have a typo and it just says that he collected 14 BUTTONS, in that case given that they are "IDENTICAL" we most likely can assume that there would be no bias (size color, texture are all the same)

If Jamie's paddling pool has a diameter of 10m, what is its area in square meters?
pls help

Answers

Answer:

use app Gauthmath its will give you the answer

Answer:

100msquare (or) sq.m (diameter in a circle inscripted square is one of its side)

Step-by-step explanation:

area of squr=side*side

=10*10

=100msquare (or) sq.m

5 x 1/7


The question



































Answers

as a fraction the answer is: 5/7

Answer:

5/7 or 0.71 is the answer

Solve for X:
-2(x+2) < 14

Answers

Answer:

answer is 45 + 5 so it's 50

Answer:

-2X-4<14

-2X<18

X>9

Step-by-step explanation:

the measures of the angles of a triangle are shown in the figure. solve for x

Answers

Answer:

solution,

x+41+59=180⁰ ( the sum of total angle of triangle is 180⁰)

or, x+ 100=180

or, X=180-100

so , X=80

Step-by-step explanation:

let us check

59+41+80=180

he tables represent two linear functions in a system.

A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 22, negative 10, 2, 14. A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 30, negative 21, negative 12, negative 3.
What is the solution to this system?

(negative StartFraction 13 over 3 EndFraction, negative 25)
(negative StartFraction 14 over 3 EndFraction, negative 54)
(–13, –50)
(–14, –54)

Answers

Answer:

8-22 is the answer ok thanks

How many solutions does the following equation have:
16y + 7 = -3y + 10 + 8y

Answers

Answer:

one solution only

Step-by-step explanation:

16y + 7 = -3y + 10 + 8y

16y + 3y - 8y = 10 - 7

11y = 3

y = 3/11

one solution because you get an answer in the end

hope your having a good day!

Answers

Answer:

yes im am gydyd6rrfxjdjsjwjejwhwwehebrhrhhrrhrhrhdhrhehrhehrhrhdhdhdhdhddhdgdgdhr

Find the distance between the two points in simplest radical form.
(-8, -2) and (-6,2)

Answers

Answer:  [tex]2\sqrt{5}\\\\[/tex]

To get that answer, we apply the distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (-2-2)^2}\\\\d = \sqrt{(-8+6)^2 + (-2-2)^2}\\\\d = \sqrt{(-2)^2 + (-4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.472136\\\\[/tex]

As an alternative, you could plot the two points on the same xy grid, and then form a right triangle. Afterward, apply the pythagorean theorem and you should get the same result as shown above.

Which graph represents y as a function of x?

Answers

Answer:

A

Step-by-step explanation:

By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.

jessica's piggy bank has 100 coins, including pennies, nickels, dimes and quarters/ together they are worth $8.36. there are nine more dimes than pennies and five times as many nickels as pennies. How many of each kind of coin does jessica have in her piggy bank?

Answers

Answer:

the bank contains 30 nickels and 70 dimes.

Step-by-step explanation:

Question 8
A scuba diver was thirty feet below the surface of the water and ascended
thirteen and a half feet. The diver then descended an additional fifteen feet
from the surface of the water. What is the location of the diver in the water?
a.-48 feet
b.-31.5 feet
c. - 27.5 feet
X d. -28 feet

Answers

It’s b

Explanation

The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down down so you add 15. That’s how you get the answer.

Answer:

b

Step-by-step explanation:

The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down so you add 15. That’s how you get the answer.

YALL REALLY NEED TO
HELP MEEEE
determine if the triangles are similar. Why are they similar or not similar ?
please show work

Answers

Answer:

Not similar

Step-by-step explanation:

In triangle MLN & WXY,

Right angles - > 1

There is nothing common in these 2 triangles other than (1)

Therefore,

Not similar

3a+5b+2c=?
a+b=15
b+c=14
5b=3b,2b

Answers

Step-by-step explanation:

please check you typing 5b = 3b, 2b

?????

Answer:

73

Step-by-step explanation:

3a + 5b + 2c = ?

Given:

a + b = 15

b + c = 14

now express in terms of b

a = 15 - b    equation (i)

c = 14 - b     equation (ii)

3a + 5b + 2c

substitute the values

3(15 - b) + 5b + 2(14 - b)

45 - 3b + 5b + 28 - 2b

add or subtract like terms

73 + 5b - 5b

plus 5b and minus 5b gets cancel

73

Triangle ABC is reflected across x = 1 and y = -3. What are the coordinates of reflection image of A after both reflections

Answers

Answer:

(1,0)&(0,-3)

Step-by-step explanation:

might be not sure..

Irene faced north. She turned 270 ° to the left and then 90 ° more to the left.
In what direction is Irene now facing?

Answers

North again. 270 + 90 = 360, hence the full rotation

The weight of three articles is 856 kg. If two of the articles weigh 502kg, what is 1/2 the weight of the third article?

Answers

Answer:

177 kg

Step-by-step explanation:

Find the weight of the third article by finding the difference between 502 and 856, since 856 kg is the total weight and 502 kg is the weight of the other 2 articles:

856 - 502

= 354

Now, find 1/2 of the weight, by dividing this by 2:

354/2

= 177

So, 1/2 the weight of the third article is 177 kg

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1 /9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.

Answers

Answer: 7 red marbles.

Step-by-step explanation:

Since we are given the information that there are only red marbles and blue marbles in the bag and that the probability of randomly choosing a red marble is 1 /9 while there are 63 marbles in total.

Then the number of red marbles will be:

= 1/9 × 63

= 7

There are 7 red marbles

The number if blue marbles will be:

= 63 - 7

= 56 blue marbles

you're reading material illustrates a typical example of what happens if you pay just the minimum monthly payment every month on a credit card balance in this example approximately how long will it take to pay off the original deck completely.
A.2yrs
B.5yrs
C.12yrs
D. The debt will never be completely repaid.

Answers

Answer:

The correct answer is D. The debt will never be completely repaid.

Step-by-step explanation:

Since the question refers to a credit card debt on which the minimum monthly payment is paid for an indefinite period of months, in this case the debt will never be fully repaid, since the minimum payments will be constantly added values as interest, which will increase the value of the debt due to compound interest.

Answer:

c. 12 years

Step-by-step explanation:

according to the book, it says it would take 12 years to get it paid off with just the minimum payments

PLEASE HELP ME I NEED AN ANSWER ASAP!! <3

(photo included)

Answers

Answer: B.

tan 45=perpendicular/base

1=8/AB

So, AB=8

Since it's a right-angled triangle, BC is a hypotenuse.

BC=√(AC^2+AB^2)

     =r√(8^2+*^2)

     =8 √2

For #4 - 5, the two polygons are similar. Find the
values of x and y.
60°
18
12
22
x + 4
4.

Answers

Answer:

x = 10.7

y = 120°

Step-by-step explanation:

If two polygons are similar, their corresponding angles would be the same, while the ratio of their corresponding sides will be equal.

Therefore, the angles of the two polygons given are equal, while the ratio of their corresponding side length is equal.

Thus:

✔️Find x:

22/(x + 4) = 18/12

22/(x + 4) = 3/2

Cross multiply

(x + 4)3 = 2*22

3x + 12 = 44

Subtract 12 from each side

3x = 44 - 12

3x = 32

x = 32/3

x = 10.7

✔️Find y:

y + 60° = 180° (adjacent angles are supplementary)

y = 180 - 60

y = 120°

Which data type is variable 'a' as per below code?(numeric/non-numeric) Dim a as integer a=10 for grade 7 Computer

Answers

Answer:

The answer is "numeric".

Step-by-step explanation:

The Dim keyword is used in Visual Basic which is used to establish the dependent variable and other information such as the code that the variable may access the variables, computer utilizes the statement Dim. The dimensions are brief and then used to define variables. The Dim statement is placed just after sub definition only at the start of a VBA module (short for Subroutine).The variable to hold an integer value is seen in the above example.

Solve using the Applicable Variation

The height of a TV varies directly with its width. If a TV with a width of 16 inches has a height of 9 inches, find the width of a TV with a height of 20.25 inches.

I'm so lost :'(​

Answers

Answer:

36

Step-by-step explanation:

9/16 = 20.25/?

16x20.25÷9= 36

9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3

Answers

Answer:

Volume of cone = 33.49 inch³

Step-by-step explanation:

Missing information;

Height of cone = 8 inch

Diameter of cone = 4 inch

Find:

Volume of cone

Computation:

Radius of cone = Diameter of cone / 2

Radius of cone = 4 / 2

Radius of cone = 2 inch

Volume of cone = [1/3][πr²h]

Volume of cone = [1/3][(3.14)(2)²8]

Volume of cone = [1/3][(3.14)(4)8]

Volume of cone = [1/3][(3.14)(32)]

Volume of cone = [1/3][100.48]

Volume of cone = 33.49 inch³

The polynomial is missing the coefficient of the third and last terms.
8x^3 - 144x²y + _xy² - _y^3

Answers

In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.

Solve: log2(3x + 8) = 5 Which is an equivalent equation?

Answers

Answer:  5/log (8) - 8/3

Step-by-step explanation:

Answer:

A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4

Step-by-step explanation:

I just did it hope this helps

Solve the absolute value inequalty ⎜3x + 5⎟≤ - 2 a No Solution b - 2 ≤ x ≤ - 7 c All real numbers d -7/3 ≤ x ≤ -3/7

Answers

Answer:

Step-by-step explanation:

First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!

Just to show you how to solve this kind of problems:

1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2

3x ≤ - 5 - 2

3x ≤ - 7

x ≤ - [tex]\frac{7}{3}[/tex]

2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2

3x + 5 ≥ 2

3x ≥ - 3

x ≥ - 1

x ∈ ∅

There jar of milk contains 40 litre,50 litre, and 60 litre of milk. Find the greatest capacity of vessel which can empty out each jar with the exact number of fillings​

Answers

Answer:

10

Step-by-step explanation:

Do HCF of 40,50,60 and the answer is 10

The voltage E in an electrical circuit is modeled by E=3.8cos(110π t). What is the maximum voltage?

Answers

Answer:

Max E=3.8 Voltage

Step-by-step explanation:

[tex]maximum-value -of cos(\theta) =1, when \theta=0,360,720\\110\pi t=0, therefore t=0, 1.04, 2.08 etc[/tex]

The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.

What is the range of the trigonometric function cosine?

The range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.

How do we solve the given question?

We are given that the voltage E in an electrical circuit is modeled by E = 3.8cos(110π t).

We are asked to find the maximum voltage E that can be obtained from the circuit.

The voltage E = 3.8cos(110π t).

In the given formula 3.8 is constant and cos(110π t) is variable. The value of E is maximum when the trigonometric function cos(110π t) attains the maximum value.

Since its a cos function, the maximum value it can attain = 1, as the range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.

When the variable attains the maximum value = 1, the value of the voltage E  = 3.8*1 = 3.8.

∴ The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.

Learn more about the ranges of trigonometric functions at

https://brainly.com/question/9565966

#SPJ2

Which of the following is the correct definition of payment shock??

Answers

Answer:

payment shock refers to a dramatic increase in an individual's debts and liabilities that may cause them to default on their financial obligations. Put simply, payment shock occurs when, rather suddenly, someone is obligated to pay more in monthly debt than they can afford from their income

Answer: The new payment after the initial fixed-rate period is much higher

than the homeowner expected.

Step-by-step explanation: took the quiz.

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