1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alisha [4.7K]
3 years ago
8

Which polynomial is a perfect square trinomal x^2 -6x +9 b) x^2 -2x +4 c) x^2 +5x +10 d) x^2 +4x +16

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0
I hope this helps you

You might be interested in
Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6
Oksi-84 [34.3K]

Answer:

-1/3

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

9x^2-15x

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

9x^2-15x=6

Subtract 6 from both sides:

9x^2-15x-6=0

Divide everything by 3:

3x^2-5x-2=0

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0

Find the x using the Zero Product Property:

3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

x=-1/3

Assume that the correct symbol is >. Thus,

x>-1/3

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

9x^2-15x

0 is indeed less than six, so our first correct solution is:

x>-1/3

For the second one, do the same thing. We have:

x=2

Assume that the correct symbol is <. Thus:

x

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

9x^2-15x

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

x>-1/3 \text{ and } x

Together, we can write them as:

-1/3

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

6 0
3 years ago
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 8 inches, what is the length?
sergiy2304 [10]

perimeter = 2W + 2L

42 = 2*8 + 2L

Length = 26 / 2 = 13


3 0
3 years ago
Read 2 more answers
Given: 5n - 42 - 12n: Prove: n = -6<br> Statements : <br><br> Reasons :
OlgaM077 [116]
5*-6-42-12*12*-6=0
the answer is: 0
6 0
3 years ago
Determine if the equations are parallel, perpendicular, or neither​<br><br>ANSWER ALL!!!!!!
Jet001 [13]
I can’t quite see the image, can you send another to help you better:)
4 0
3 years ago
1. Anne wants to join five pieces of paper together. She plans to use 3 rectangular pieces of the same size and 2 square pieces
Artyom0805 [142]

Answer and explanation:

Surface area of a rectangle = length * width

Surface area of a square = a² where a is length of a side

To find total surface area of the the five pieces of paper, we add up all the areas of all the shapes

Given that length of rectangle =3.5

And width = 2

Area of rectangle =3.5*2=7

Area of 3 rectangles given they are all equal = 7*3=21

Since width of rectangle equal to width of square and all sides of square are equal

Area of square = 2 *2 =4

Area of the two squares =4*2=8

Total surface area of the five plane shapes = 21+8= 29

8 0
2 years ago
Other questions:
  • The container that holds the water for the football team is 12 full. after pouring in 7 gallons of water, it is 34 full. how man
    10·1 answer
  • How many spins does a snowboarder do in 180 degrees?
    6·2 answers
  • A) 2x - (x - 3) = 5<br>​
    8·1 answer
  • Write 27 as a product of primes.<br> Use index notation where appropriate.
    6·2 answers
  • Find all the real square roots of 49/121
    15·1 answer
  • an oil company drilled several walls.fifty wells, or 25%,produced oil.what was the total number of wells that were drilled
    8·2 answers
  • Please help.. will mark Brainliest!
    5·1 answer
  • Math Problem will give brainliest! If you say something random i will get you banned.
    15·2 answers
  • Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensio
    13·2 answers
  • each unit square of a 3-by-3 unit-square grid is to be colored either blue or red. for each square, either color is equally like
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!