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
Artist 52 [7]
2 years ago
12

4. A triangle with base (2x+2) and height (x-2) is cut out of a rectangular sheet of paper that is (3x+4) by (2x+3) what is the

area of the paper that remains?

Mathematics
1 answer:
juin [17]2 years ago
5 0
So what we do is
area that remains=total area-triangle area that was cut out


we need to find 2 things
total area
triangle area

total area=rectange=base times height
area=(3x+4) times (2x+3)
FOIL or distribute
6x^2+8x+9x+12=6x^2+17x+12

triangle area=1/2 times base times height
triangle area=1/2 times (2x+2) times (x-2)=
(x+2) times (x-2)=x^2+2x-2x-4=x^2-4


so
total area=6x^2+17x+12
triangle area=x^2-4

subtract
area that remains=total area-triangle area that was cut out
area that remains=6x^2+17x+12-(x^2-4)=
6x^2+17x+12-x^2+4=
6x^2-x^2+17x+12+4=
5x^2+17x+16


area that remains is 5x^2+17x+16

You might be interested in
A man sells sugarcane juice in 200ml per one cup. How many cups of sugarcane juice can he dispense from his big rectangular tank
kozerog [31]

Answer:

702

Step-by-step explanation:

multiply 65*40*54

equals 140400

it conversion cm cube is equal to ml

140400/200

it equals 702 cups

4 0
3 years ago
Solve the equation -x/6greaterthanequalto3
enot [183]

Answer (depending if the fraction is positive or negative):

  1. x ≥ 18
  2. x ≤ -18

Step-by-step explanation:

If the fraction is positive:

  1. Write it out: \frac{x}{6} \geq 3  
  2. Multiply each side by 6 to cancel out the 6 under x. It should now look like this: x ≥ 18

If the fraction is negative:

  1. Write it out: -\frac{x}{6} \geq 3  
  2. Multiply each side by -6 to cancel out the -6 under x. It should now look like this: x ≤ -18

I hope this helps!

3 0
2 years ago
Please help I’ll give brainalist + 10 points to whoever helps and get this 100% right
kaheart [24]

Answer:

its C

Step-by-step explanation:

because 180⁰-40⁰=140⁰

4 0
2 years ago
Read 2 more answers
Evaluate a + b to the 2nd power for a = 2 and b = 3
jarptica [38.1K]

Answer:

25

Step-by-step explanation:

You add 2+3 and get 5. Then you square it to get 25.

4 0
3 years ago
Read 2 more answers
Find a point-slope form for the line with slope 1/5 and passing through the point (- 4. - 8).
andrew11 [14]

Answer:

y+8 = 1/5(x+4)

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y- -8 = 1/5(x - -4)

y+8 = 1/5(x+4)

4 0
2 years ago
Other questions:
  • In 10 mins a heart can 700 times. How many mins will a heart beat 140 times?
    10·1 answer
  • How do we solve this?
    12·1 answer
  • Solve 3k^2=8k+8,using completing the square method ​
    5·2 answers
  • Mr. Smith has a maximum of $50 to spend at a museum. A ticket costs $7. he can spend x dollars to buy other things at the museum
    12·1 answer
  • If f(x)=4x^3 - 6x^2 + 2x - 5, then f(-2) = ___________
    5·1 answer
  • Help me plz i don't even know if the first one is correct
    6·1 answer
  • Which set of ordered pairs does NOT show y as a function of x?
    8·2 answers
  • Melissa bought 2 shirts and 3 skirts and spent between $45 and $60. Each shirt costs the same amount. Each skirt costs the same
    13·2 answers
  • Help me please this is due please help
    5·2 answers
  • Does (-10, -24) make the equation<br> y=-10 true?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!