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
galben [10]
2 years ago
7

What equation is equivalent to x2 + 20x + 81 = -27? Can you show me how you got the answer please

Mathematics
1 answer:
Alla [95]2 years ago
4 0

The equivalent equation is x² + 20x = -102

<h3>Simplification of quadratic equation</h3>

The equivalent equation can be obtained by factorizing or simplifying the given quadratic equation as shown below;

x² + 20x + 81 = -21

<em>collect similar terms together</em>

x² + 20x + 81 + 21 = 0

x² + 20x + 102 = 0

The equation can also be written as x² + 20x = -102

Thus, the equivalent equation is x² + 20x = -102

Learn more about simplification of quadratic equation here: brainly.com/question/1214333

You might be interested in
A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each.
DerKrebs [107]

Answer in fraction form = 1/20

Answer in decimal form = 0.05

Answer in percent form = 5%

These are three ways to express the same thing

=============================================================

Explanation:

Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.

The probability of getting a lion rubber band is 1/4 for similar reasoning as above.

Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20

Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.

6 0
3 years ago
An african lion weighs 450 pounds.What is its weight in ounces?
DIA [1.3K]

Since there are 16 ounces in 1 pound. You'd multiply 450(pounds)*16(ounces) which would equal 7,200 ounces.

Hope this helped : )

7 0
3 years ago
One less than half a number is 12. What is the number
olga_2 [115]
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12

Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
6 0
3 years ago
0 0
morpeh [17]

Answer:

a) slope / m = 3

b) y-intercept / b = 0

c) Proportional

Step-by-step explanation:

a)

( y1 - y2 ) / ( x1 - x2 )

( 6 - 12 ) / ( 2 - 4 )

( -6 ) / ( -2 )

6 / 2

3

b)

y = mx + b

6 = 3(2) + b

6 = 6 + b

0 = b

c)

Proportional is when it crosses origin ( 0, 0 ).

Not proportional is when it does not cross origin.

Hopefully this helps!

Brainliest please?

6 0
2 years ago
Jay earned $432.18 in net pay for working 32 hours. He paid $82.42 in federal and state taxes, and $31.70 in FICA taxes.
Neporo4naja [7]
1) $17.07 
2)$97.22
3) 79%
3 0
3 years ago
Read 2 more answers
Other questions:
  • Number 8. This is hard!
    5·1 answer
  • In circle O, which segment is a diameter?<br><br> a) RC<br> b) SD<br> c) CO<br> d) OH
    5·2 answers
  • A flagpole is 50 feet high. You are standing a distance from the flag pole. The angle of elevation from where you are standing t
    12·1 answer
  • Which name accurately describes the figure shown below and why? A 4-sided figure with 2 parallel sides, 2 right angles, and 2 no
    9·2 answers
  • What is the product of (x+3)(x+5)
    6·2 answers
  • Which of the following is an equivalent ratio to 5/2
    8·1 answer
  • How, I answered like 100 people and now its gone?
    14·2 answers
  • 1. Francis heard that a car stereo system was on sale for 30% off. If the sale price was $57.75, what was the original price of
    12·2 answers
  • If Josh has 12 computer games he received 1/4 of them on his birthday how many computer games did you receive for his birthday
    15·1 answer
  • Help! I don't know if this is correct.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!