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
sveta [45]
2 years ago
11

Factorise completely: 1. 3xy - x2. 4a² - 9​

Mathematics
1 answer:
Amanda [17]2 years ago
6 0

Answer:

x(3y - 1) and (2a - 3)(2a + 3)

Step-by-step explanation:

(1)

3xy - x ← factor out x from each term

= x(3y - 1)

(2)

4a² - 9 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4a² - 9

= (2a)² - 3²

= (2a - 3)(2a + 3)

You might be interested in
. Which function's graph has a vertex at (-1, -3) and contains the point (2, 15)?<br> HELPPP PLEASEE
AlexFokin [52]

Answer:

2(x+1)²-3

Step-by-step explanation:

Using the vertex formula we can write the follwoing equation

y=a(x+1)²-3

We need to solve for a

we know that when x= 2 y = 15

So we can write

15=a(2+1)²-3

15=9a-3

18=9a

a=2

Which means our final equation is

2(x+1)²-3

in standard form (just in case)

2x²+4x-1

5 0
3 years ago
A decorative floor pattern has 1 red square tile surrounded by 12 blue tiles. Write an expression to show how many total red and
Nonamiya [84]

The general equation is that for every red tile, there must be 12 blue ones.

Algebraically this is expressed as b = 12r where r is red and b is blue. Your teacher might like you to express it as y = 12x where y is blue and x is red. The meaning is the same.

For beginners it might be easier to say b = 12r. So if you have 15 reds then r = 15

b = 12 * r

b = 12 * 15

b = 180 blue tiles.

8 0
3 years ago
Read 2 more answers
Anyone know how to do this????
serious [3.7K]
Yes it would be the opposite for example -12 it would be 12 and then 13 would stay 13
3 0
3 years ago
Use intercepts to graph 3y = -5x -30
disa [49]
The final solution is y=-5/3x-10
3 0
3 years ago
Avery planned a circular garden and path as shown below. The radius of the garden is 4 feet and the path around the garden is 2
Digiron [165]

Answer:

Option C) 113.0 feet squared

Step-by-step explanation:

We are given the following in the question:

Radius of circular garden = 4 feet

Length of path around garden =  2 feet

We have to find the total area of garden and path.

The garden and path together makes a bigger circle with radius

R = 4 + 2 = 6\text{ Feet}

Area of garden and path =

A = \pi R^2

Putting values, we get,

A  = 3.14\times (6)^2 = 113.04\\A \approx = 113.0\text{ square feet}

Thus, the correct answer is

Option C) 113.0 feet squared

8 0
3 years ago
Read 2 more answers
Other questions:
  • Help help. I’m confused
    12·1 answer
  • Another name for the positive integers is the ___________ numbers.
    15·2 answers
  • Jade normally leaves work at 5:00 pm, but she is leaving work 10 minutes late today. She decides to make up time by taking the t
    14·2 answers
  • There are 88 students at Beast Academy. The number of students with fur is twice as
    13·2 answers
  • Five students in Mr. Roberts' class are gathering donations for a party. The amount each student has collected is below. Student
    15·1 answer
  • A scout troop is going hiking. They have 75 energy bars, 35 energy drinks, and 45 bottles of water. If each scout gets the same
    15·1 answer
  • What number is the arrow pointing at?​
    5·2 answers
  • What is the square root
    7·1 answer
  • Which equation represents this statement?
    5·1 answer
  • Please help!&lt;3 tysm if u helped
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!