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
Mademuasel [1]
3 years ago
5

I NEED HELP PLEASE :(

Mathematics
1 answer:
exis [7]3 years ago
4 0
Answer: 3rd choice is the right answer
You might be interested in
Gil bought 2 packs of pencils there were 10 pencils in each pack how many pencils did Gil buy
kupik [55]

Answer:

gill bought 20 pencils

Step-by-step explanation:

10 pencils in each pack × 2 packs = 20 pencils in total

3 0
2 years ago
Im having trouble with this :(
MrRa [10]
The answer is plus 4 because a positive plus a negative is a negative
5 0
3 years ago
Complete the square and write in standard form. Show all work.What would be the conic section:CircleEllipseHyperbolaParabola
mote1985 [20]

ANSWER

This is an ellipse. The equation is:

\frac{(x-1)^2}{3^2}+\frac{(y+4)^2}{4^2}=1

EXPLANATION

We have to complete the square for each variable. To do so, we have to take the first two terms and compare them with the perfect binomial squared formula,

(a+b)^2=a^2+2ab+b^2

For x we have to take 16x² and -32x. Since the coefficient of x is not 1, first, we have to factor out the coefficient 16,

16x^2-32x=16(x^2-2x)

Now, the first term of the expanded binomial would be x and the second term -2x. Thus, the binomial is,

(x-1)^2=x^2-2x+1

To maintain the equation, we have to subtract 1,

16(x^2-2x+1-1)=16((x-1)^2-1)=16(x-1)^2-16

Now, we replace (16x² - 32x) from the given equation by this equivalent expression,

16(x-1)^2-16+9y^2+72y+16=0

The next step is to do the same for y. We have the terms 9y² + 72y. Again, since the coefficient of y² is not 1, we factor out the coefficient 9,

9y^2+72y=9(y^2+8y)

Following the same reasoning as before, we have that the perfect binomial squared is,

(y+4)^2=y^2+8y+16

Remember to subtract the independent term to maintain the equation,

9(y^2+8y)=9(y^2+8y+16-16)=9((y+4)^2-16)=9(y+4)^2-144

And now, as we did for x, replace the two terms (9y² + 72y) with this equivalent expression in the equation,

16(x-1)^2-16+9(y+4)^2-144+16=0

Add like terms,

\begin{gathered} 16(x-1)^2+9(y+4)^2+(-16-144+16)=0 \\ 16(x-1)^2+9(y+4)^2-144=0 \end{gathered}

Add 144 to both sides,

\begin{gathered} 16(x-1)^2+9(y+4)^2-144+144=0+144 \\ 16(x-1)^2+9(y+4)^2=144 \end{gathered}

As we can see, this is the equation of an ellipse. Its standard form is,

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1

So the next step is to divide both sides by 144 and also write the coefficients as fractions in the denominator,

\begin{gathered} \frac{16(x-1)^2}{144}+\frac{9(y+4)^2}{144}=\frac{144}{144} \\  \\ \frac{(x-1)^2}{\frac{144}{16}}+\frac{(y+4)^2}{\frac{144}{9}}=1 \end{gathered}

Finally, we have to write the denominators as perfect squares, so we identify the values of a and b. 144 is 12², 16 is 4² and 9 is 3²,

\frac{(x-1)^2}{(\frac{12}{4})^2}+\frac{(y+4)^2}{(\frac{12}{3})^2}=1

Note that we can simplify a and b,

\frac{12}{4}=3\text{ and }\frac{12}{3}=4

Hence, the equation of the ellipse is,

\frac{(x-1)^2}{3^2}+\frac{(y+4)^2}{4^2}=1

3 0
1 year ago
Factor completely 5c5 + 60c4 + 180c3.
Mrac [35]
5c^5 + 60c^4 + 180c^3

find the GCF, 5c³

5c³(5c^5 + 60c^4 + 180c^3/ 5c^3)

5c³(c² + 12c + 36)

5c³(c² + 2(c)(6) + 6²)

5c³(c + 6)² <<< the answer.

hope this helps, God bless!
8 0
3 years ago
Which equation is represented by the phrase “one-fourth of a number, increased by eight equals sixteen”?
joja [24]

Answer:

One-fourth n + 8 = 16

Step-by-step explanation:

basically 1/4n +8=16

4 0
3 years ago
Read 2 more answers
Other questions:
  • a model plane has a scale of 1 in:6yd if the model plane is 3in tall then how long is the real plane?
    9·1 answer
  • ANSWER ASAP I WILL GIVE BRAINIEST
    12·2 answers
  • What are the values of x in the equation x(x-6)=4(x+6)
    13·1 answer
  • PLEASE HELP!!!!
    7·2 answers
  • Karen bought cupcakes for her sister's birthday party. 3 cupcakes had sprinkles on top. The other 27 cupcakes did not have sprin
    12·1 answer
  • What is an equation of the line that passes through the points (-7, -7) and (-7, 4)
    5·1 answer
  • What is 2 thirds of 19 divided by 2plus 3 multiplied by4​
    6·1 answer
  • Please answer this math riddle for me ASAP!!! please
    10·2 answers
  • Suppose you are doing a key exchange with John using generator 3 and prime 29. Your secret number is 4. John sends you the value
    10·1 answer
  • a bicycle normally sells $240. it is now on sale for 25% off. As an employee, Brandon was able to save an extra 10% off the sale
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!