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
Lubov Fominskaja [6]
1 year ago
8

Factor completely.x2 + 3xy - 4y2 - 5y + 5x

Mathematics
1 answer:
nikitadnepr [17]1 year ago
8 0

Answer: We have to factor the polynomial completely, the polynomial is:

x^2+3xy-4y^2-5y+5x

The factorized answer is:

\begin{gathered} x^2+3xy-4y^2-5y+5x\rightarrow(1) \\  \\  \\ \text{ Rewriting \lparen1\rparen gives:} \\  \\  \\ x^2-xy+4yx-4y^2+5x-5y \\  \\ \text{ Factoring out the common factors gives:} \\  \\ x(x-y)+4y(x-y)+5(x-y) \\  \\ \text{ The last step is to factor out the }(x-y): \\  \\ (x-y)(x+4y+5)\Rightarrow(2) \end{gathered}

The final answer is option(d) because (2) matches this option.

You might be interested in
What is the hexadecimal conversion of the decimal number 224?
Anton [14]

Answer:

This is a little confusing to me this question but I think its "E0"

Step-by-step explanation:

a) Divide 224 by 16 and then separate what is on the left and right side of the decimal point.

b) Multiply the right side of the decimal point by 16 (and convert to hex if neccessary) and keep that number to the side.

c) Divide the left side of the decimal point by 16 and separate what is on the left and right side of the decimal point.

d) Repeat step b and c above until the value on the left side is 0.

e) Then simply enter the numbers you got in step b in reverse order to get the answer.

Following the instructions above, your math should look like this:

224 / 16 = 14

0 x 16 = 0

14 / 16 = 0.875

0.875 x 16 = E

Thus, 224 decimal converted to hex is as follows:

E0

6 0
4 years ago
if there are four trucks parked in line and after the first truck each truck weighed 2 more tons than the one before. They all w
algol13
Each truck weighs five tons. 

1st truck: n 
2nd truck: n + 2
3rd truck: n + 4
4th truck: n + 6 

n + n + 2 + n + 4 + n + 6 = 32 
4n + 12 = 32 
      - 12   - 12
--------------------
4n = 20 
----  ------
 4      4

n = 5 
6 0
4 years ago
Write the equation in slope intercept form (2,5); m= -5
Bond [772]
Slope intercept
y=mx+b
m=sllope
given
m=-5

find b
y=-5x+b
given
(2,5)
means x=2 and y=5 is true

5=-5(2)+b
5=-10+b
add 10
15=b

y=-5x+15
5 0
3 years ago
Find a solution of the quadratic equation.6x squared + 7x + 2 =0
worty [1.4K]

Given the equation:

6x^2+7x+2=0

We will use the following rule to find the solution to the equation:

x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

From the given equation: a = 6, b = 7, c = 2

So,

\begin{gathered} x=\frac{-7\pm\sqrt[]{7^2-4\cdot6\cdot2}}{2\cdot6}=\frac{-7\pm\sqrt[]{1}}{12}=\frac{-7\pm1}{12} \\ x=\frac{-7-1}{12}=-\frac{8}{12}=-\frac{2}{3} \\ or,x=\frac{-7+1}{12}=-\frac{6}{12}=-\frac{1}{2} \end{gathered}

So, the answer will be option B) x = -1/2, -2/3

5 0
1 year ago
The period of the function y=sin(1/4 x) is equal to
Aleonysh [2.5K]

Answer:

8*\pi

8 0
2 years ago
Other questions:
  • What is the answer to number 9?
    6·2 answers
  • Find the GCF of 3x^3y^5z and 21xy^3z^4.
    9·1 answer
  • How are midsegments of trapezoids and triangles alike? How are they different?
    14·1 answer
  • Victoria used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in th
    9·1 answer
  • The front of an A-frame cottage has the shape of an isosceles triangle. It stands 23 feet high and is 15 feet wide at its base.
    14·1 answer
  • One more geometry question! Need as soon as possible!
    15·1 answer
  • A regular hexagon is rotated in a counterclockwise direction about its center. Determine and state the minimum number of degrees
    13·1 answer
  • Which expression finds the equation of the line?
    5·2 answers
  • What sequence of transformations map ABC to PQR?
    10·1 answer
  • jacob collects hats.he has 6 hats already and collects 2 more hats each week. how many weeks does it take for Jacob to collect 3
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!