shasta claimed that the equation x^2+25=0 can be solved by using its factored form of (x+5i)^2=0, and that -5i is the only zero for this function. which statement is true?

Answers

Answer 1

Answer:

The given equation will have two roots as +5i and -5i

Step-by-step explanation:

Shasta claimed that the equation x^2+25=0 can be solved by using its factored form of (x+5i)^2=0, and that -5i is the only zero for this function

The given equation is [tex]x^2+25 =0[/tex]

This clearly shows it will have complex roots, and since it is a quadratic equation it will have 2 complex roots

[tex]x^2 = -25 \\x = \sqrt{-25} \\x= \sqrt{-1}* \sqrt{25}\\[/tex]

[tex]x = i\sqrt{25}[/tex]

x = ± 5i

It will be false to say that -5i will be the only complex root to this equation.

The given equation will have +5i and -5i as its roots.

Lets verify

x = +5i

[tex](5i)^2 + 25 \\25i^2 + 25 \\25(-1) + 25\\-25 + 25 = 0[/tex]

x = -5i

[tex](-5i)^2 + 25 \\25i^2 + 25 \\25(-1) + 25 \\-25 + 25 \\ = 0[/tex]


Related Questions

plss..I need help...​

Answers

Hi! The answer would be 5.38.
The answer will be 5.38

HELP! Please help! Thank you so much!
(please try to show your work)
A pizzeria offers toppings of mushrooms, sausage, onions, onions olives, and peppers. How many different ways can a pizza be made, using anywhere from 0 to 5 toppings?

Answers

Answer:

0-5

Step-by-step explanation:

1 if theres 5 topping. 2 if there are 10 toppings. 3 if 15. 4 if 20. 5 if 25.

find the slope PLEASE HELP

Answers

Answer:

-1/4

1

-1/4

1

Step-by-step explanation:

Slope is obtained thus :

(y2 - y1) / (x2 - x1)

Slope ST :

S(1, 4) ; T(5, 3) ;

x1 = 1, y1 = 4 ; x2 = 5 ; y2 = 3

Slope ST = (3 - 4) / (5 - 1) = - 1 / 4

Slope TU :

T(5, 3) ; U(3, 1)

x1 = 5, y1 = 3 ; x2 = 3 ; y2 = 1

Slope TU = (1 - 3) / (3 - 5) = - 2/ - 2 = 1

Slope UV :

U(3, 1) ; V(-1, 2)

x1 = 3, y1 = 1 ; x2 = - 1 ; y2 = 2

Slope UV = (2 - 1) / (-1 - 3) = 1 /-4 = - 1/4

Slope SV:

S(1, 4) ; V(-1, 2)

x1 = 1, y1 = 4 ; x2 = - 1, y2 = 2

Slope SV = (2 - 4) / (-1 - 1) = - 2 / - 2 = 1

can i get some help please?

Answers

Answer:

∠ L = 109°

Step-by-step explanation:

Since the triangles are congruent, then corresponding angles are congruent.

Thus ∠ J = ∠ G , substitute values

3x + 12 = 2x + 19 ( subtract 2x from both sides )

x + 12 = 19 ( subtract 12 from both sides )

x = 7

Then

∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°

∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°

By the sum of angles in a triangle = 180°, then

∠ F = 180° - (33 + 38)° = 180° - 71° = 109°

∠ F and ∠ L correspond , thus

∠ L = ∠ F = 109°

The distance a spring stretches varies directly
with the force applied to it. If a 7-pound weight
stretches a spring a distance of 24.5 inches, how
far will the spring stretch if a 12-pound weight is
applied?
A. 3.4 inches B. 19.5 inches
C. 42 inches D. 294 inches

Answers

Its c 42 inches :)............

At a local fitness​ center, members pay ​$6 membership fee and ​$2 for each aerobics class. Nonmembers pay ​$4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the​ same? first person gets brainly

Answers

Answer:

for members: 1, 2,3,4,5

for non-members : 2,4,6,8,10

will cost same.

Step-by-step explanation:

6 + 2 = 8

members total $8 for 1 class

non-members total $4 for 1 class

8×2=16

8×3=24

8×4=32

8×5=40

4 × 2 = 8

4×3=12

4×4=16

4×5=20

4×6=24

4×7=28

4×8=32

4×9=36

4×10=40

The relationship between the number of
$4 lunches you buy with a $100 school
lunch card and the money remaining on
the card

Answers

4x = 100

Here, the ‘x’ refers to how many lunches you buy, the 4 is the cost of each lunch, and 100 is the amount of money you have and can subtract from.

can i get some helpers?

Answers

Answer:

congruent, the triangles have 2 congruent sides and a congruent angle, therefore the triangles are congruent by the SAS Theorem

Step-by-step explanation:

5x-28 = 2x+8

3x=36

x=12

x+4 = 2x-8

(12)+4 = 2(12)-8

16 = 16, AB is congruent to DE

x-2 = 3x-26

(12)-2 = (36)-26

10 = 10, AC is congruent to DF

Question #6
What is 3/4 divided by 1/8 Explain or show your reasoning.

Answers

3/4 divided by 1/8 is 6

Answer: 6

Step-by-step explanation:

3/4 divided by 1/8 is the same as 3/4 multiplied by the reciprocal of 1/8( which is 8) therefore, 3/4 ×8=6

This can help you remember how to multiply fractions :Dividing fractions is easy as a pie, flip the second number and multiply, and don't forget to simplify, before its time to say goodbye.

PLz help I need help

Answers

Answer:

Missing statements:

R2. Definition of corresponding anglesR3.  Corresponding angles postulateR5.  Supplement PostulateS7.  m∠2 + m∠3 = m∠1 + m∠3S8.  m∠1 + m∠3 = 180°

Complete the table and then graph the function.y= -4x + 34

Answers

Answer:

Step-by-step explanation:

Ethan puts $50 on his school lunch card. He buys the same $5 lunch every day. Which equation shows the balance, b, on his card in terms of the number, m, of meals he has
purchased?

Answers

Answer:

b = 50 - 5m

Step-by-step explanation:

i think this is correct but i didnt put much thought into it

If the domain of the function f(x)=2x^2-8 is {-2, 3, 5}, then the range is

Answers

Answer:

{0, 10, 42}

Step-by-step explanation:

The Domain acts like x and the Range acts like y and f(x) = y

f(x) = 2x^2 - 8

f(-2) = 2(-2)^2 - 8

f(-2) = 2(4) - 8

f(-2) = 8 - 8

f(-2) = 0

f(3) = 2(3)^2 - 8

f(3) = 2(9) - 8

f(3) = 18 - 8

f(3) = 10

f(x) = 2x^2 - 8

f(5) = 2(5)^2 - 8

f(5) = 2(25) - 8

f(5) = 50 - 8

f(5) = 42

To check, look at the graph below ---

                                                             |

                                                            V

33-(2c + 4) = 2(c + 7) +C​

Answers

Answer:

c=3

Step-by-step explanation:

C=3 ///////////// (ignore these bars pls XD)

Can anyone tell me why I got this question wrong? Btw Happy Holidays!

Answers

Answer:

Hope this may helps you

Answer:

Column A:

You calculate slope doing y2-y1/x2-x1

So -10-1/5-(-2)= -11/7

Column B:

Rearrange the equation to get y

-3x+2y=7

2y=3x+7

y= 1.5x + 7

Therfore we have that the slope of column be is greater because it has a positive regression. While column A has a negative slope.

Rate positively and give brainlist

A store is offering a 20% discount. The original price of a t-shirt is $18. What is the sale price of the t-shirt?
(no tax included)

Answers

Answer:

$3.6

Step-by-step explanation:

I looked it up, I don't know how to do that on my own

Jiangsu divided 751.6 by 10 to the second power and obtained a quotient of 0.7516. Yessenia thinks the quotient. Who has the reason? Explain your answer.

Answers

Answer:

Yessenia is correct.

Step-by-step explanation:

Supose Yessenia thinks the quotient is 7.516, then Yessenia is correct.

The reason why Yessenia is correct is that, if we interpret the question mathematically, we have:

[tex]= \dfrac{751.6}{10^2}[/tex]

[tex]= \dfrac{751.6}{100}[/tex]

From above the decimal point will shift to the left twice since we are dividing 751.6 by 100, which is:

= 7.516 and not 0.7516

What is the slope? (Number)

What is the y-intercept? (Number)

Write a linear equation y=mx + b to represent the table:

Answers

Answer:

slope=1

y-intercept=10

linear equation is y =x+10

Step-by-step explanation: to find slope take 2 points (0,10) and (2,12) as (x1,y1) and (x2,y2) respectively. Using slope formula(y2-y1/x2-x1) we get (12-10)/(2-0) which simplifies to 2/2 which is 1. y-intercept is the point where x is 0, then y is a number called y-intercept. And in the table when x=0 ,y=10 therefore 10nis the y-intercept. As for the linear equation, y=mx+b it simply is y=slope×x +y-intercept, from the previous question we can say y=1x+10 ( in math its better if the coefficient of x is 1 we can just say x) which is y=x+10.

10 2/3 - 8 5/8

I DONT NEED AN EXPLANATION

Answers

This the answer 2 1/24

Answer:

2 1/24=49/24

Step-by-step explanation:

b) Which is the better -17%off35$or12%off32?

Answers

Answer:

Hi :)

Step-by-step explanation:

HELP ASAPP PLEASE OR ELSE I WILL FAIL CLASS

Answers

7 +5x= -18
5x= -25
X= -5
B) one solution
C) i think it is : ( 14 + 10(-5))/ 12 = -36/ 12= -3

A classroom's population went from 25 to 46 in 15 years. What was the percent of change?

a
21%
b
84%
c
16%
d
80%

Answers

The answer is A:21% bc it’s doubled the. The that makes 20% then the extra makes a 1% /21%

Create a sample division problem with a 2-digit divisor and give an incorrect answer, showing the steps taken to get the incorrect answer.

Answers

Answer:

Incorrect Answer Below

Step-by-step explanation:

Problem: We have a total of 28 candies that need to be divided evenly between 4 students.

(Incorrect) Solution: In order to solve this problem we can seperate the total number of candies into single digits and then divide each digit by 4 like so...

2 / 4 = 0.5

8 / 4 = 2

Now that we have the answer of both of these divisions we can simply add these values together to get the number of candies each student will get

0.5 + 2 = 2.5 candies

Solve for r. This is for combinations and permutations.

Answers

Answer:

○ D) A and C

Step-by-step explanation:

[tex]\displaystyle \frac{n!}{r![-r + n]!} = {}_nC_r[/tex]

All you need to do is plug each choice into the formula:

[tex]\displaystyle \frac{10!}{2![-2 + 10]!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{2[-2 + 10]!} \longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{2[(2)(3)(4)(5)(6)(7)(8)]} \\ \\ \boxed{45} = \frac{90}{2}[/tex]

OR

[tex]\displaystyle \frac{10!}{8![-8 + 10]!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{[(2)(3)(4)(5)(6)(7)(8)][-8 + 10]!} \\ \\ \boxed{45} = \frac{90}{2}[/tex]

So, from what you see, both values of [tex]\displaystyle r[/tex] work. In fact, when using the formula pertaining to combinations, you will see that each result has a “repetitive pattern”. This is something you must look out for when using this formula.

I am joyous to assist you at any time.

NEED ANSWERS ASAP!!( no need for explanation just final answers)

Answers

Answer

x, y

0, -4

1, -1

2, 2

3, 5

please click heart to give thanks :)

Answer:

Answer

x, y

0, -4

1, -1

2, 2

3, 5

Step-by-step explanation:

there's the math

Roger spent 22 minutes on his math homework and 25.08 minutes on his spelling
homework. He spent percent more time on his spelling homework.

Answers

Answer:

114%

Step-by-step explanation:

okay, so we know he spent 22 minutes on math and 25.08 on spelling.

m=22

s=25.08

so to find a percent, you have to divide s/m

s/m= 25.08/22

s/m= 1.14

because this is a decimal, we have to convert it to a percent

114%

to check the answer, multiply 22 times 114%

the answer is 25.08, so we know we got the right answer.

Tessa bought stock in a restaurant for $297.00. Her stock is now worth $356.40. What is the percentage increase of the value of Tessa's stock?

Answers

Answer:

20% increase

Step-by-step explanation:

We want to compute the percentage increase

Percent increase in price is expressed as

=(Change in price)/old price *100

=356.4-297/297*100

=59.4/297*100

=0.2*100

=20%

Is a function or not a function?

Answers

Answer:

yes this is

Step-by-step explanation:

Can somebody please help meee out ?? I don’t understand this .

Answers

Answer:

(-5,3)-3/2=(-1,-3)

Step-by-step explanation:

So the slope intercept form is 3/2 and the points are (-5,3) and (-1,-3)

y intercept form is y=mx+b.

I hope one of those helps

Answer:

the equation for the function shown is y= -3/2x -9/2

Step-by-step explanation:

You can find the slope of the graph by counting how many spaces up or down over how many spaces left or right between two points. Start from the left of the graph and go towards the right of the graph when doing this. If you count the spaces between the two points on the graph, it is down six units (-6 on top) and 4 units right (4 on bottom) to get a slope of -6/4, which can be simplified by dividing both the top and bottom by two to get a slope of -3/2. Next you can use the point-slope form to find the equation of the graph in the form y=mx + b. Point slope form looks like this: y-y1=(the slope)(x-x1).

Plug in what you got for the slope and the coordinates for any point on the graph (the y coordinate replacing y1 and the x coordinate replacing x1). Here, I used the point (-1, -3), but you should get the same answer no matter what point you use, as long as it is a point on the graph:=> y-(-3)= -3/2(x-(-1))

=>y+3=-3/2(x+1)

distribute the -3/2 to both terms in the parentheses: y+3= -3/2x -3/2

subtract 3 from both sides to get y by itself (aka to convert to the form y=mx+b): y= -3/2x -9/2 (Here, -9/2 is your y-intercept, or where the graph crosses the y-axis).

Jennifer claims that her bank account is growing at a greater rate of change than William’s bank account. Determine if Jennifer is correct and justify your reasoning.

Answers

Answer:

Jennifer is wrong

Step-by-step explanation:

Jennifer's bank account is growing at a rate of change 10 as per the given function

William’s bank account is growing at a rate of change 14 as per the table

Jennifer is wrong because 10 < 14

Other Questions
g 30.0 mL of a buffer is made by mixing 20.0 mL of 0.10 M HNO2 and 10.0 mL of 0.10 M NaOH solution. What is the pH of this buffer after 0.04 mL of 10.0 M hydrochloric acid are added to it How do you do the equation -8(0.5y - 3 put 3.07 lbs., 3.1 lbs., 3 1/8 lbs., 3 3/10 lbs. in order from least to greatest. What is the equivalent expression for 6x + 18 In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 : 5 = ___ : 15 C) ___ : 1 = 12 : 3 D) 15 : ___ = 3 : 1 Need help!Please answer this question.Does anyone have any emotional problems with their families? (arb)4 = 81r24where a and b are positive integers. Work out a and b. HURRYYYYYY!!!!!!!!!!!!!!! !!!!!!!?!!?!?!!?!?!?!??!?!!? What are the conditions for exponential growth? What is the issue or question brought before the Supreme Court? REALIZAR UN CUADRO SINPTICO SOBRE LA TRAYECTORIA DE LAS MUJERES EN EL MUNDO HELPPPP!!!!!!1) Consider the sequence:7,4, 1, -2A) Arithmetic or Geometric (and why?)B) What is the common difference or common ratio?C) Explicit equation:D) Find the 12th term of the sequence: Please help. This is volume A test for syphilis gives a positive result with probability 0.98 when tested on a person who has the disease. The test gives a negative result with probability 0.9 when tested on a person who does not have the disease. Assume that 3% of a society has the disease, and compute the following probabilities in the order they are asked. Note that for each individual there are two disease status(disease, no disease) and two types of test results(positive, negative). (a) (0.5 point) Compute the probability that an individual has the disease and has a positive test result. Explain your computation. (b) (0.5 point) Compute the probability what is Alternate interior angles give an example Factor the expression (24p - 60)This is the last one What is the cause of the differences in the offspring? Andrew told the chef he will begin cooking soon acellus Hello there please help this is for science and if you answer thanks for the help you earned yourself a 5 star. Compare and contrast the protection to intellectual property provided by trade secrets relative to that provided by patents. What important defense is available to defendants in trade secret cases that is not available to patent infringement defendants? what is trade diversification