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

9514 1404 393

Answer:

  yes, if you allow complex numbers; no, if you don't

Step-by-step explanation:

The sum of squares can be considered to be the difference of squares, where one of the squares is negative. The negative square is the square of an imaginary number, so the factoring involves imaginary numbers.

  x^2 +25 = x^2 - (-25) = x^2 -(5i)^2

  = (x -5i)(x +5i) . . . . factoring in the complex numbers

There is no factoring in real numbers.

Answer 2

Answer:

dd4l

Step-by-step explanation:

yup


Related Questions

17 is what percent of
32?

Answers

Answer:

53.13

Step-by-step explanation:

i just looked it up to back up my answer?

f (x) = 4x² -4x

Find f (-7)

Answers

Answer:

f(-7) = 224

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x² - 4x

f(-7) is x = -7

Step 2: Evaluate

Substitute in x:                    f(-7) = 4(-7)² - 4(-7)Exponents:                          f(-7) = 4(49) - 4(-7)Multiply:                               f(-7) = 196 + 28Add:                                     f(-7) = 224

I don’t know how to do this I’m so confused

Answers

Answer:

You have to graph it

Step-by-step explanation:

Step-by-step explanation:

take the value in that BIG curly bracket as X terms....then substitute one by one to the equation given below to get Y values...after that u have cordinates then u can draw the graph..

[tex]x \: \: \: y \\ - 2 = - 8 \\ - 1 = - 10 \\ 0 = - 12 \\ 1 = - 14 \\ 2 = - 16[/tex]

this is for the first equation..so the coordinated are...

(-2,-8), (-1,-10), (0,-12), (1,-14), (2,-16)

use the same methord to find the others

Find g (3) if g(r) = 2r - 1
O 5
07
06
4

Answers

can you send a picpicture if not the.
6

1. What are the coordinates of point D?

Answers

Answer:

3,5 or 5,3 i forget i think 5,3

Step-by-step explanation:

Answer:

(5,-3)

Step-by-step explanation:

♦♦Will mark brainliest♦♦
Anton's family drove 216 mi to the lake averaging 48 ​mi/h​ . On the return trip home they averaged 54 mi/h.

What was the total time that Anton's family spent driving to and from the lake?

8.0 h

8.5 h

9.0 h

9.5 h

Answers

I think the answer is 8.5 h

Answer:

8.5 h

Step-by-step explanation:

55.75

6
How many solutions does the system of linear equations represented in the graph below have?
Infinitely many solution
One solution
No Solution
None of the above

Answers

Hello, please before asking the question, put a picture or write the equation, so we will be able to help you!
Thanks in advance!

Is 12x^2 a factor of 6x

Answers

Answer: 12x^2 is 144 because 12 times 12 is 144 which means 6 does not include with those so no 6 is not a factor of that

Step-by-step explanation:

An item is regularly priced at $27. Jose bought it on sale or 45% off the regular price

Answers

so u just do 27*0.45 to get 12.15 and subtract that to get 14.85

Answer:

You pay 14.85

You save 12.15

Step-by-step explanation:

Trust

What is the perimeter of a square with an area of 81 cm??

Answers

Answer:

36 cm

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

81÷2=40.5

40.5×4=162


Simplify the expression.
-6q + 7 - 2 + 4q
A: 5 - 2q
B: 2q - 5
C: 5 + 2q
D: 10+2q

Answers

Answer:

c

Step-by-step explanation:

-6q+4q=2q and 7-2=5 so 2q+5

It should be B: 2q - 5 :))

Look at the photo pick A B C D either one explanation not needed thank you! <3 -14- don’t guess

Answers

Answer:

that correct answer is A. this is how i remember it WALK TO a friends house then you walk UP to the door

i will give you brainiest :)
solve for k
9/10 = 10/k

Answers

Answer:

k = 100/9

Step-by-step explanation:

In this question, we will be solving for "k".

Solve:

9/10 = 10/k

Cross multiply.

(9 · k) = (10 · 10)

9k = 100

Divide both sides by 9

k = 100/9

Your answer would be k = 100/9

Use the graph to estimate the solution to the quadratic-linear system

Answers

(-3,-8) because that is where the line intersects with the parabola

From looking at a parabola from a graph, I can kinda figure out the vertex form of it, and then factor it out to standard form.
but, in vertex form, which is a(x=h)+k, how do I figure out the a. usually, it's 1, but if it's not, how do i know that by just looking at the graph

Answers

Answer:

mhm

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

Reduce a ratio 3/4in: 3/16 ft

Answers

Answer:

4in : 1ft

Step-by-step explanation:

We start with:

3/4 in = 3/16 ft

This means that the length of 3/4 inches is the same as the length of 3/16 feet.

To reduce this, we can start by dividing by 3 in both sides of the equation:

(3/4)/3 in = (3/16)/3 ft

1/4 in = 1/16 ft

Now we can multiply both sides by 16:

16/4 in = 16/16ft

4 in = 1ft

now we reduced the ratio to:

4in : 1ft

Help PLEASE ASAP, Algebra question, need steps

Answers

Answer: x=2

Step-by-step explanation: I download and I see your work and that my answer up there, hope this help

A student draws a quadrilateral that has two sides measuring 5 cm and two sides measuring 8 cm, and the sides opposite to each other are parallel.

Which of the following quadrilaterals could the student have drawn?

Select all that are possible.

A.square
B.rectangle
C.rhombus
D.parallelogram
E.trapezoid

Answers

Answer:

B

Step-by-step explanation:

two sides are longer than the other two, D could also be one of the choices but rectangles have two parallel lines and have shorter sides at the sides

2. What is the value of x in the following figure?
520
A. 38°
B. 52°
C. 128°
D. 1420

Answers

Answer:

38

Step-by-step explanation:

180 - (90 + 52)

180-142= 38

What is the measure of m∠6

Answers

C 118.2 just subtract 61.8 from 180

Answer:

C. 118.2°

Step-by-step explanation:

180-61.8=118.2

Tell whether the ordered pair is a solution to the inequality.

Answers

Answer:

If an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution.

If y = 3x – 8, and y = f(x), find f(2). *

Answers

Answer:

f(2) = -2

Step-by-step explanation:

Replace y with f(x). The equation is now f(x) = 3x - 8. f(2) means that you replace all of the x’s with 2’s. Bringing the equation to f(2) = 3(2) - 8. You now just have to solve the equation. f(2) = 6 - 8. f(2) = -2

The are 425 apples in basket A and 381 apples in Basket B. How many apples are there in the two baskets?​

Answers

Answer:

There are 806 apples in the combined two baskets.

Step-by-step explanation:

Just add the amount of apples in basket A and B to get the answer.

A football stadium has 4,890 seats. There are 6 sections
of seats with the same number of seats in each section.
How many seats are in each section?

Answers

Answer:

815 seats in a section

Step-by-step explanation:

4,890/6      Equation

815              Solve

What is the solution to the system?

Answers

Answer:

(1, 3)

Step-by-step explanation:

The solution to these kinds of graphs is where the 2 lines intersect, in this case they intersect at (1, 3), so (1, 3) is the solution

In 5 rounds of a game, Jill scored -3, 8, 9, -7, and 13. What integer represents her average score for 5 rounds? Please answer ASAP!!!

Answers

Answer:

4

Step-by-step explanation:

-3 + 8 + 9 + (-7) + 13 = 20

20/5 = 4

four is what i gotjskajdkajs

ILL MARK AS BRAINLESS

Answers

Answer:

its liter

Step-by-step explanation:

Answer:

it is 1000% Liters

Step-by-step explanation:

plz mark me brainless

Which linear function represents the line given by the point-slope equation y - 3 = 4(x - 5)?
O f(x) = 4x - 17
Of(x) = x - 20
O f(x) = 7x-5
f(x) = 4x - 2

Answers

Answer:D.f(x)=4x-10

Step-by-step explanation:

2020edge

Solve the system of linear equations

Answers

Answer:

I think its (3,2). you find where they meet and that's your answer

Solve the system of equations Algebraically.
x+y=-3
y= x + 3
Find the value of.x, then y. Write your answer as an ordered pair.

Answers

Since y=x+3 (given)
Put value of y in equation x+y=(-3)
x+x+3=(-3)
2x=(-6)
x=(-3)
Put x=(-3) in x+y=(-3)
(-3)+y=(-3)
y=0
So, x=(-3)
y=0
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