In Algebra you learned that Difference of Perfect Squares is x^2 - 25 = (x+5)(x-5)
Is there a way to factor the sum of perfect squares? ex: x^2 + 25 = (?)(?)

Answers

Answer 1

Answer:

(x+5i)(x-5i)

Step-by-step explanation:

We use imaginary numbers to solve that. since i = sqare root of -1 so i * i = -1.


Related Questions

Which equation has a constant of proportionality equal to 2?
y=10/5x

y=2/2x

y=2/4x

y=22/2x

Answers

Answer:

A

Step-by-step explanation:

xy = 10/5 = 2

the other wrong because

xy = 1

xy = ½

xy = 11

Find the missing angle measure Angle STU?

Answers

The answer is 60 degrees because the red thingy indicated that it is a 90 degree angle then you subtract that from 150 to get your answer= 60

A sum of money amounts to ₹9800 after 5 years and ₹12005 after 8 years at the same rate of simple interest. What will be the rate of interest?

[Irrelevant answers will be reported]​

Answers

Answer:

12%

Step-by-step explanation:

We can get SI of 3 years = 12005 - 9800 = 2205

SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]

Principal = 12005 - 3675 = 6125

So Rate = (100*3675)/(6125*5) = 12%

Mrs. Brim made a chart to see how long it took her students to finish a test. How many students took more than thirty minutes to finish the test?

Answers

Answer:

As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.

Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.

Step-by-step explanation:

As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.

Let's suppose, there are 10 students in the class of Mrs. Brim and she took 5 tests on subsequent days and made chart to know the average time her students took to solve the test.

Total time of test = 30 minutes

Average time taken by the students to solve the test on Day 1 = 25 minutes.

Average time taken by the students to solve the test on Day 2 = 27 minutes.

Average time taken by the students to solve the test on Day 3 = 22 minutes.

Average time taken by the students to solve the test on Day 4  = 23 minutes.

Average time taken by the students to solve the test on Day 5 = 20 minutes.

Average Time in all Tests = Sum of all times / total number of days

Average Time = (25 + 27 + 22 + 23 + 20) / 5 days

Average Time = 117/5

Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.

can someone teach me similar shapes and how i would find volume and area as well as congruency in triangles, thanks

I don't get it at all

Answers

Answer and Step-by-step explanation:

It's very easy.

If you have two shapes, let's say triangles, the shapes are said to be similar if the corresponding angles are equal. For instance a triangle ABC with angles A = 45, B = 45 and C = 90 if there is another triangle PQR with angles P = 45, Q = 45 and R = 90, we say triangle ABC and triangle PQR are similar because their corresponding angles are equal.

Two triangles are said to be congruent if they are exactly the same in angles and size. All congruent shapes are similar but not all similar shapes are congruent.

To find area of similar shapes, we need what we call the scale factor of the enlargement.

If we have two similar shapes where by one is an enlargement of the other. Let's say the enlargement is in ratio 2:1. This ratio 2:1 is what we call scale factor. If we want to find the area of one shape given the area of a similar one to it, we make use of

Area = (scale factor)². For instance if we have two similar triangles, the area of the bigger is 16cm² and the scale factor is 2:1, we can find the area or the smaller by:

(2/1)² = 16/X = 4/1 = 16/X

4x = 16 and x = 4.

To find volume we use:

Volume = (scale factor)³ and the process is the same.

Help please thank you !!!

Answers

It’s c, the other 3 is so off from the answer

Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster. He enlarges the stamp using a scale of 2 inches to 1 centimeter. If the actual length of the stamp is 3 centimeters and its width is 5 centimeters, what are the dimensions of the scale picture?
A The length is 6 inches, and the width is 10 inches.
B The length is 1.5 inches, and the width is 2.5 inches
C The length is 5 inches, and the width is 10 inches.
D The length is 5 inches, and the width is 7 inches.

Answers

Answer: 6 in. x 10 in.

Step-by-step explanation:

Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster.

1. The scale of enlargement is 2 inches to 1 centimeter.

2. The actual length of the stamp = 3 centimeters

3. The length of frame =   2 x 3 = 6 inches

4. The actual width of the stamp = 5 centimeters

5. The width of frame =  2 x 5 = 10 inches

Conclusion: Because of this, the dimensions for the scale picture would be 6 by 10 inches

Which graph represents the solution set of and ?

graph I
graph II

graph III
graph IV

A.
graph I
B.
graph II
C.
graph III
D.
graph IV

Answers

Answer:

GRAPH III

Step-by-step explanation:

Look at the picture.

We have

y = x² - 4 → move the graph of x² 4 units down (the vertex is (0, -4))

x + y + 2 = 0   subtracy x and 2 from both sides

y = -x - 2 → move the graph of -x 2 units down (the y-intercept os -2)

Only graph III and IV meets these conditions.

The solution is the points of intersection of the graphs.

Therefore your answer is GRAPH III

Answer:

[tex]\fbox {C. graph lll}[/tex]

Step-by-step explanation:

The solution of the system of equations can be found at their intersections.

The graph which is correct is graph III as it has the correct representations of the equations and correctly indicates the points of intersection.

Which ordered pair is a solution of the equation?
y = -2x + 5

Answers

Answer:

(0,5)

Step-by-step explanation:

Answer (-1,-7) hope it helps

Order the following from biggest to smallest = 10 g = 10 kg = 10 mg​

Answers

Answer:

10 kg = 10g = 10 mg

Hope this helped ;)

Question 4
Write an algebraic expression for the following.
Joe spent three dollars less than twice as much as Fernando did.
Use x for the variable.
Question 5
Ayliah is 7 years more than 1/2 of Deb's age
use x for the variable

Answers

Question 4:
2x-3
Because we don’t know how much Fernando has that would be where we fill in the variable giving you 2x then 3 dollars less will give you the -3 therefore 2x-3
Question 5:
1/2x+7
Because we don’t know Deb’s age that would be the variable and we are looking for half of Deb’s age giving you 1/2x then the 7 years more giving you the +7 hence 1/2x+7

Given f(x) = -2x– 9x + 7, what is the value of f(-3)?

Answers

Answer:

f(- 3) = 40

Step-by-step explanation:

To evaluate f(- 3), substitute x = - 3 into f(x), that is

f(- 3) = - 2(- 3) - 9(- 3) + 7 = 6 + 27 + 7 = 40

Review the graph. On a coordinate plane, a vector has origin (6, 2) and terminal point (0, 4). What is the component form and magnitude of the vector shown? LeftAngleBracket negative 2, 7 RightAngleBracket and StartRoot 53 EndRoot LeftAngleBracket negative 2, 7 RightAngleBracket and 53 LeftAngleBracket negative 7, 2 RightAngleBracket and StartRoot 53 EndRoot LeftAngleBracket negative 7, 2 RightAngleBracket and 53

Answers

Answer:

I think C

Step-by-step explanation:

The component form and magnitude of the vector is  < -6, -2>, √ 40, the correct option is A.

What is a Vector?

A vector is a quantity that needs both magnitude and direction for its representation.

A vector has origin (6, 2) and terminal point (0, 4).

The component of vectors is determined by the formula

<x,y> = < (x₂- x₁ ) , (y₂-y₁)>

<x,y> = < (0-6), (4-2)>

<x,y> = < -6, -2>

The magnitude of the vector is determined by

[tex]\rm |v| = \sqrt{x^2 +y^2[/tex]

|v| = √ 40

The correct options are  

LeftAngleBracket negative 6, 2 RightAngleBracket and StartRoot 40 EndRoot LeftAngleBracket negative 6, 7 RightAngleBracket and 40 LeftAngleBracket negative 2,6 RightAngleBracket and StartRoot 47 EndRoot LeftAngleBracket negative 2, 6 RightAngleBracket and StartRoot 40

To know more about Vectors

brainly.com/question/25705666

#SPJ5

a movie theater made $1267.50 on monday by selling 180 tickets. Adult tickets were $7.50 each and a child ticket was 6. Which system below could be used to find the number of adults that attended
the movie on monday ?
A. {a+c=180
{a+c=1267.5

B. {a+c=1267.5
{7.5a + 6c=180

C. {a+c=180
{7.5a+ 6c=1267.5

D. {a+c=180
{7a+6.5c=1267.50



Answers

Answer:

C

Step-by-step explanation:

7.5 per ticket for every adult and 6 for every child to 7.5a+6c=1267 which is how much they made. Then since the theater sold 180 tickets then a+c=180

If 5p - 2r = 19 and 2p + r = 4, find (p+r)​

Answers

Answer:

5p-2r =19 in this one 5*5-2*3 so in this one p is =5 and r =3 and in the next one 2p+r=4 the answer is for p =1 and r =2 this means 2*1=2 and 2+2=4 and the first one is 5*5=25 and 2*3= 6 and 25-6=19 so that's it I guess

30 IS 15% of WHAT number?


A. 333.3
B. 266.6
C. 600
D. 200

Answers

Answer:

The correct answer is D) 200

Step by step explanation:

Let x be the number:

Then,

→15/100(x)=30

→3/20(x)=30

→3x/20=30

→3x=20⋅30

→3x=600

→x=600/3=200

Hope it helps!

Answer:

D 200

Step-by-step explanation:

Let the number we are find be x. We can write this as an equation:

30 = 15%*x = (15/100)x

Multiplying by 100/15 on both sides to isolate x:

x = 30(100/15) = 2(100) = 200

Therefore, 200 is our answer. I hope this helps! :)

Solve the equation.
IM
4=t/2.5

Answers

Answer:

t=10

Step-by-step explanation:

4=t/2.5

4=t/25/10

divide 25and10 by 5=5/2

4=t/5/2

4=t×2/5

multiply both sides of the equation by 5

5×4=t×2/5×5

20=t×10/5

20=t×2

— —

2. 2

10=t

Please help me asap
Select the correct answer from each drop-down menu.
A system of linear equations is given by the tables. x y -1 1 0 3 1 5 2 7 x y -2 -7 0 -1 2 5 4 11

Answers

Answer:

1) The first equation of the system is y = 2·x + 3

2) The second equation of the system is y = 3·x - 1

3) The solution of the system is (4, 11)

Step-by-step explanation:

1) From the coordinates of the first table, we have;

The points of the y-coordinate have a common difference of two

The rate of change of the function using the first and the last point is given as follows;

Rate of change = Slope, m = (7 - 1)/(2 - (-1)) = 2

The, equation of the line in point and slope form is, y - 7 = 2 × (x - 2)

∴ The equation of the line in slope and intercept form is y = 2·x + 3

Therefore, the first equation of the system is y = 2·x + 3

2) Similarly from the coordinates of the second table, we have;

The points of the y-coordinate have a common difference of six

The rate of change of the function using the first and the last point is given as follows;

Rate of change = Slope, m = (11 - (-7))/(4 - (-2)) = 3

The, equation of the line in point and slope form is, y - 11 = 3 × (x - 4)

∴ The equation of the line in slope and intercept form is y = 3·x - 1

Therefore, the second equation of the system is y = 3·x - 1

3) Equating both equations in the system of equations to find a common solution gives;

2·x + 3 = 3·x - 1

∴ x = 4

From y = 3·x - 1  or y = 2·x + 3, we have the value of y at the solution point as  y = 3 × 4 - 1 = 11 or 2 × 4 + 3 = 11

∴ y = 11 at point of the common solution of the system of equations

Therefore, the coordinates of the common point which is the solution of the system is (4, 11).

Answer:

Select the correct answer from each drop-down menu.

A system of linear equations is given by the tables.

x y

-1 1

0 3

1 5

2 7

x y

-2 -7

0 -1

2 5

4 11

The first equation of this system is y =

2

x + 3.

The second equation of this system is y = 3x −

1

.

The solution of the system is (

4

,

11

).

Step-by-step explanation:

If csc Ф = 4/3, what is the value of sin Ф

Answers

Step-by-step explanation:

Since cosecx = 1 / sinx,

sinФ = 1 / cosecФ = 1 / (4/3) = 3/4.

If sin 0 = -0.6 and cos 0 = -0.8, find the cot O
Please helppp

Answers

Answer:

cotθ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Using the trigonometric identity

cot x = [tex]\frac{cosx}{sinx}[/tex], then

cotθ = [tex]\frac{-0.8}{-0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]

SOS HELP PLEASE!!!!!!!

Answers

Answer:

a for 2 b for 3 c for 1 and d is 4

Step-by-step explanation:

OK i need big help!!!! And it's really easy!

Answers

the second option!! the addition one :))

Using the Arc length formula s = r θ, find the missing variable.
Find s when r = 18.4 and θ 3π/4
13.8π
15.2π
24.5π

Answers

Step-by-step explanation:

13.8pie is correct answer of your question

I don't understand this question. I was hoping someone could help.​

Answers

Answer:

A

Step-by-step explanation:

The constant rate of change in this question simply means the slope

To get the slope, we simply get two points and apply the slope equation;

The points are;

(3,60) and (6,30)

The slope equation is;

m = (y2-y1)/(x2-x1) = (30-60)/(6-3) = -30/3 = -10 ft/s

So our answer is the first option as it represents a decent of -10 ft/s

What is the value of x In this equation?
75 + 10x = 225

150

15

25

10

Answers

Answer:

15

225-75=150

150÷10=15

The answer is 15
75-75 is 0 , 225-7 is 150

10x/10 = 150/10

X=15

Find the length of the missing side. Round to the nearest tenth (one decimal place).

Answers

Answer: pretty sure it is 56.5

Step-by-step explanation:

Square ABCD was translated using the rule (x. y) «-4,y + 15) to form A'B'CD. What are the coordinates of point
D in the pre-image if the coordinates of point D' in the image are (9, -8)?
TE
O (13, -23)
(5, 7)
O (18, 1)
O (6,4)

Answers

Answer:

[tex](13,-23)[/tex]

Step-by-step explanation:

Given

Translation: [tex](x,y) -> (x-4,y+15)[/tex]

Required

Determine the pre-image of (9,-8)

In (9,8)

[tex]x = 9[/tex] and [tex]y = -8[/tex]

So:

[tex](x,y) -> (x-4,y+15)[/tex]

Becomes

[tex](9,8) ->(x-4,y+15)[/tex]

By comparison:

[tex]x - 4 = 9[/tex]

[tex]y + 15 = 8[/tex]

Solving for (x):

[tex]x - 4 = 9[/tex]

[tex]x = 9 + 4[/tex]

[tex]x = 13[/tex]

Solving for (y):

[tex]y + 15 = -8[/tex]

[tex]y = -8 - 15[/tex]

[tex]y = -23[/tex]

Hence, the pre -image has a coordinate of [tex](13,-23)[/tex]

find the value of X in each of the given triangles.​

Answers

<DSR + <SRD + <RDS = 180° (Angle sum property)

2x + x +3x = 180°

6x = 180°

x = 180°/6

x = 30°

So, <SRD = x = 30°

<RDS = 3x = 3(30°) =90°

<DSR = 2x = 2(30°) = 60°

Hope it helps !

✌️

Jai hind !

Answer:

[tex]3x + 2x + x = 180 \\ 6x = 180 \\ \boxed{x = 30}[/tex]

Angles are 30°,60° and 90°.

x=30 is the right answer.

A submarine is 105 feet below the surface of the water, and it begins to ascend at a rate of 3 feet per minute. After how many minutes will the submarine be 81 feet below the surface?

Answers

Answer:

8 minutes

Step-by-step explanation:

Step one:

given

A submarine is 105 feet below the surface of the water

depth of submarine= 105 feet

let the time of ascending be x

Required

The time taken to ascend up to 81 ft

Step two:

the expression for the situation is

81=105-3x

solve for x

3x=105-81

3x=24

divide both sides by 3

x= 24/3

x=8 minutes

Write an equation in point-slope form of the line that passes through the point (-8, – 2) and has a slope of m=5.

y- □=□(x-□)​

Answers

y=5x-2 i believe is correct
y - (-2) = 5(x - (-8))

Which is,

y + 2 = 5(x + 8)

Explanation:
Other Questions
Two biggest ways that the Great Depression impacted baseball in the 1930s? Please help fast!!!! Which statement best explains how the setting in a bunker on a battlefieldaffects the plot of this story? tell whether the ordered pair is a solution to the system of inequalities What actions can you take to reduce your impact on science? which are the target organs of insulin and how do they respond to the home? Diffusion and osmosis are similar in that they are both types of What is the efficiency of a machine that lifts a load of 12.0 kg a vertical distance of 5.00m in 30.0 s after being supplied with 70.0 W of power? Explain the steps you take to get the answer. Which description is appropriate for the term "connotation"? A. The way a word is pronounced B. The way a word has been used over time C. The emotional associations of a word D. The definition of a word If you can draw let me know!!I need help!! bruh, who else has exams? Please help meWhat type of map is this (political, physical, or thematic)? Explain your answer. find the next 2 terms in this sequence 1 2/3 - (-5 2/3) plsssssssssssssss helppppppppppppppppp An airplane traveling at half the speed of sound emits a sound of frequency 5.84 kHz. (a) At what frequency does a stationary listener hear the sound as the plane approaches? To what ecosystem are coral reefs compared? Why is it impotant to conserve biodiversity? python exercise grade 10Write a program that finds the largest in a series of numbers entered by the user. The programmust prompt the user to enter numbers one by one. When the user enters 0 or a negativenumber, the program must display the largest nonnegative number entered:Enter a number: 60Enter a number: 38.3Enter a number: 4.89Enter a number: 100.62Enter a number: 75.2295Enter a number: 0The largest number entered was 100.62Notice that the numbers arent necessarily integers Can someone please help me? If it is correct I will give you Brainliest Thank you A volume variance occurs when the company operates at a different capacity level than was expected. a. True b. False 1. What are the female reproductive organs?A. egg cells B. ovariesC. sperms D. testes Which of the following notes is middle C?O A. 2O B.Oc. 1O D. Steam Workshop Downloader