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

(-2,6) and (1,-1) whats the slope

Answers

Answer:

7/-3

Step-by-step explanation:

6--1=7

-2-1=-3

Answer:

The slope is m=-7/3

m=y²-y¹/x²-x¹

m=(-1)-6/1-(-2)

m=-7/3

PLEASE HELP ITS URGENT
What are the domain and the range of this graph?

The domain is {x∈ℝ∣∣x≤0} and the range is {y∈ℝ∣∣y≤0}.

The domain is {x∈ℝ∣∣x≤0} and the range is {y∈ℝ∣∣y≥0}.

The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≤0}.

The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.

Answers

Answer:

The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.

Step-by-step explanation:

3. Consider the figure below, What is the sum of m

Answers

Answer:

you do not have enough information to determine

What the answer says above

The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 1/5 ampere when the resistance is 8750 ohms. What is the current when the resistance is 17150 ​ohms?

Answers

Answer:

0.102048 ampere

Step-by-step explanation:

I α k / R

Current = 1/5 ; R = 8750

What is the current when the resistance is 17150 ​ohms

First obtain the value of k :

I = k/R

I = 1/5 ampere = 0.2 A

0.2 = k / 8750

k = 1750

What is the current when the resistance is 17150 ​ohms

I = 1750 / 17150

I = 0.1020408

I = 0.102048 ampere

Please help me and explain to me!

Answers

I believe the answer is 19.2 because you would have to do paythag. = a^2+b^2=c2 in this case it would be 7^2 + 10^2 = c
From there you would get the answer of 149, and you would have to square root it. When you square root 149 you get 12.2
12.2 + 7 = 19.2
You would add them together because you want to know the height before it broke.

Step-by-step explanation:

use phytagoras theorem to find the length of broken post

[tex] \sqrt{ {7}^{2} } + {10}^{2} [/tex]

[tex] \sqrt{49 + 100} [/tex]

[tex] \sqrt{149} [/tex]

[tex] = 12.2[/tex]

add the broken post with the standing

= 7 + 12.2

=19.2

Solve the exponential equation: 4x - 2 = 2x​

Answers

Answer:

x= 1

Step-by-step explanation:

Solve

Let's solve your equation step-by-step.

4x−2=2x

Step 1: Subtract 2x from both sides.

4x−2−2x=2x−2x

2x−2=0

Step 2: Add 2 to both sides.

2x−2+2=0+2

2x=2

Step 3: Divide both sides by 2.

2x

2

=

2

2

x=1

Paras starts math class at 10:30 AM. She finishes her math class at 11:15 AM
How long is paras in the math class

Answers

Answer:

1 hr 15 mins

Step-by-step explanation:

Answer

45

Step-by-step explanation:

30+15=45

Simplify the expression.
35(12)(5)

1. 5/36
2. 36
3. 12/5
4. 36/5

Answers

Answer: The answer is 36/5?

Step-by-step explanation:

The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It cost the school $300 to pay the referees for the game. The school wants to make a profit on the game, and 75 people attended. This is represented by the system:
5x+3y>300
x+y=75
Which of the following points is a solution to the system?
a. (25,70)
b. (30,45)
c. (20,15)
d. (40,35)

Answers

Answer:

b.

Step-by-step explanation:

5*30+3*45>300

150+135

30+45=75

Answer:

B)

Step-by-step explanation:

30, 45

For a field trip, a highschool want to buy T-shirts and sweatshirts. The expression px + 29y repersents the cost of buying x T-shirts and y sweatshirts from the store. If each sweatshirt cost $17 more than a T-shirt what is the value of p ?

Answers

Answer:

The value of p is $12.

Step-by-step explanation:

Given;

c = px + 29y ,,,,,,,,,,,,,,,,,,, (1)

Where;

c = cost of buying x T-shirts and y sweatshirts from the store

p = price of one or each T-shirt = ?

x = number of T-shirts bought

29 = price of one or each sweatshirt

y = number of sweatshirt bought

Based on the above breakdown, if each sweatshirt cost $17 more than a T-shirt, the value of p can be calculated as follows:

29 = p + 17

p = 29 - 17

p = 12

Therefore, the value of p is $12.

Additional note:

Note that this is not part of the question but it is just an example to make you understand the question better.

If we assume that 10 T-shirts and 10 sweatshirts are bought from the store, we can use equation (1) above to calculate the cost as follows:

Where;

c = cost of buying x T-shirts and y sweatshirts from the store = ?

p = price of one or each T-shirt = 12

x = number of T-shirts bought = 10

29 = price of one or each sweatshirt

y = number of sweatshirt bought = 10

Substituting the values into equation (1), we have:

c = (12 * 10) + (29 * 10)

c = 120 + 290

c = 410

Therefore, the cost of of buying 10 T-shirts and 10 sweatshirts from the store will be $410.

6x - 7 = 11 show the step as well please

Answers

Answer:

x = 3

Step-by-step explanation:

6x - 7 = 11

First, add 7 to 11 which gets you 6x = 18

Then, divide 18 by 6 to solve for x which gets you 3

This means that x = 3

(hope this helps)

Answer:

Step-by-step explanation:

6x-7+11

(add 7 to both sides, canceling out the negative 7 on the left, and resulting in a sum of 18 on the right)

6x=18

(divide both sides by 6, which should isolate x because the sixes will cancel each other out, and give you a quotient of 3 on the right side)

x=3

Find 12% of 1,046 ????????

Answers

12 percent = 12/100 = 0.12
1,046 * 0.12 = 125.52
Solution: 125.52

A box with inside area of 1.1m2 is covered with an unknown 0.163m of insulation material. Determine the thermal conductivity for the insulating material if a 62 W bulb is used to heat the box. The bulb maintains the inside temperature at 23oC higher than the outside temperature.

Answers

9514 1404 393

Answer:

  0.40 W/(m·K)

Step-by-step explanation:

Units of thermal conductivity are ...

  W/(m·K)

The length dimension in the denominator comes from the ratio of area to thickness. That is, we can compute the thermal conductivity from ...

  (62 W)(0.163m)/(1.1 m²·23K) ≈ 0.40 W/(m·K)


There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7
How many students are in the class?

Answers

Given:

There are between 24 and 40 students in a class.

The ratio of boys to girls is 4:7

To find:

The number of students in the class.

Solution:

Let the number of boys are girls are 4x and 7x respectively, where, x must be a positive integer because number of boys and girls is always a positive integer. Then, the total number of students is

[tex]\text{Total students}=4x+7x[/tex]

[tex]\text{Total students}=11x[/tex]

It means total number of students is multiply of 11.

Multiples of 11 are 11, 22, 33, 44, ... . So, multiples of 11 between 24 and 40 is 33.

Therefore, the total number of students in the class is 33.

What is the unit price for trail mix if a 8 ounce bag cost $2.80.

Answers

1 ounce for every 38 cents hope this helps

please help in math : lenght of rectangle is width+7m.
and width of this rectangle is 1/3 of lenght. find lenght of rectangle.
....please help and explain....

Answers

L=W+7

W=1/3L

we can substitute the width in the first relation with 1/3L

L=1/3L+7

we move1/3L to the left

L-1/3L=7

we multiply by 3 to remove the denominator

3L-L-21

2L=21

L=21/2=10.5cm

Answer:

l = (21/2)m

Step-by-step explanation:

Let's call the length l and width as w.

l = w+7m

(1/3)l=w (Plug in the w value into the first equation)

l = (1/3)l+7m (Now, isolate the l)

(2/3)l = 7m (Multiply both sides by 3/2)

l = (21/2)m

Hope this helps!

h(x) = x-11
h ( ) =-5

Answers

x - 11 = -5
Add 11 to both sides
x = 6
Solution: h(6) = -5

Answer:

6

Step-by-step explanation:

Both please I need this now

Answers

Answer:

c d

Step-by-step explanation:

whats the the answer
for the money chapter test on time4learning

Answers

Hihihihihihihihihihihihihihihihihihohihihihihihihihigigigigigihiggihihihihihihohihohihihihihiiihihihihihihi hi hiiihihihi

Answer:

what is the quetion then i can answer it

Step-by-step explanation:

just remeber a penny is 1 cent a qurter is 25cents and so on

Which of the following graphs could represent a cubic function?
+++
B.
C.
D.
A. Graph A
B. Graph B
C. Graph C
O D. Graph D

Answers

Answer:

A

Step-by-step explanation:

Here, we want to select which of the graph represents a cubic equation

Graphs B and C looks parabolic and thus, they probably will represent a quadratic equation

Graph D represents a straight line equation

Graph A represents a cubic function due to its shape

So our answer is graph A only

Answer:

a

Step-by-step explanation:

Complete the proof....

Answers

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of Congruent Angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement           [tex]{}[/tex]                                  Reason

1. ∠1 and ∠2 are supplementary    [tex]{}[/tex]     Given

 [tex]{}[/tex] ∠1 and ∠3 are supplementary

2. m∠1 + m∠2 = 180°        [tex]{}[/tex]                    Definition of supplementary angles

[tex]{}[/tex]   m∠1 + m∠3 = 180°

3. m∠1 + m∠2 = m∠1 + m∠3      [tex]{}[/tex]          Transitive Property

4. m∠2 = m∠3       [tex]{}[/tex]                               Subtraction Property of Equality

5. ∠2 ≅ ∠3       [tex]{}[/tex]                                    Definition of Congruent Angles

Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.

SOMEONE HELP PLEASE ASAP

Answers

Answer:

The last one: Decreasing then increasing

Step-by-step explanation:

Answer:

d?

Step-by-step explanation:

The bowl has a diameter of 10 inches. What is its radius?​

Answers

5 because u divide it

The bowl has a of 5 inches.

What is the relation between radius and diameter?

The diameter is the measurement along the circle's widest point. Thus, that is the circle's diameter. It is pretty simply related to the radius. The radius divided by two gives the diameter.

Given

d = 10 inches

d = 2r

r = d/2 = 10/2 = 5

To know more about relation between radius and diameter refer to :

https://brainly.com/question/23220731

#SPJ2

a) Ava made some money babysitting last week. She
made twice that this week, but spent $5 of it on a sno-
ball. Thus, she only has $75 left from this week. How
much money did she make from babysitting last week?

Equation
Solve and answer:

Answers

She made $40 last week because if you divide 80/2 it gives you 40. Because you are still counting the $5 she had spent.

Jason consumes 1500 calories and needs to
put on weight, so he plans on increasing his caloric intake by 150 calories a day. His sister, Lisa, needs to lose weight and decrease her present intake of 3500 calories by 100 calo ries a day. After how many days will they be consuming the same number of calories?

Answers

Answer:

100*150=15000 calories

Step-by-step explanation:

100 times 150 is 15000 because you are multipling 2 people

I don't know if it is correct

just check and if it isn't then check some one elses work.

What does the word “is” mean In math

Answers

The word "is" in math is commonly used right before saying the mathematical answer. See explanation below ↓

Example  ⇒ Two plus three minus one, the answer is 4.

I hope this helps you.

What is the approximate circumference of the circle shown belon

A. 28 cm
B. 44 cm
C. 22 cm
D. 14 cm

Answers

The answer is B

C=2•3.14•7
=43.96

44cm is the closest answer
the answer is b. which is the closest answer to the exact

negative two thirds • one and one third ​

Answers

Answer:

-8/9 or -0.8 repeating

Step-by-step explanation:

HELP PLEASE OR I WILL FAIL

Answers

Answer:

okay so basically

6(-12+5)-3(-12) = -6

Step-by-step explanation:

the answer is -6




Last year, 400 signed up to take a virtual kickboxing class. This year, there was a 5% increase in registrations. How many people will take virtual kickboxing this year

Answers

Answer:

420 people

Step-by-step explanation:

400*1.05=420

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