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Monica [59]
3 years ago
6

What is the slope of the line that passes through the points (-3, -3) and (-9, 5) Write your answer in simplest form.

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Step-by-step explanation:

The slope of the line is -4/3.

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What is the degree of differential equation? ?​
Delicious77 [7]

Answer:

Degree = 1

Step-by-step explanation:

Given:

The differential equation is given as:

\frac{d^2y}{dx^2}+(\frac{dy}{dx})^2+6y=0

The given differential equation is of the order 2 as the derivative is done 2 times as evident from the first term of the differential equation.

The degree of a differential equation is the exponent of the term which is the order of the differential equation. The terms which represents the differential equation must satisfy the following points:

  • They must be free from fractional terms.
  • Shouldn't have derivatives in any fraction.
  • The highest order term shouldn't be exponential, logarithmic or trigonometric function.

The above differential equation doesn't involve any of the above conditions. The exponent to which the first term is raised is 1.

Therefore, the degree of the given differential equation is 1.

6 0
3 years ago
Which of the following is the correct factorization of the polynomial below 2x^2-12x+18
Talja [164]

Answer:

It can be written as 2(x-3)(x-3)  or 2(x-3)².

Step-by-step explanation:

2x² - 12x + 18 = 2(x² - 6x +9) = 2(x-3)(x-3)  =2(x-3)²

4 0
3 years ago
Read 2 more answers
Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On
JulijaS [17]

Given:

She is required to read a total = 10\dfrac{5}{6} hours a week.

Monday she read 1\dfrac{1}{3} hours.

Tuesday she read \dfrac{3}{4} of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = 10\dfrac{5}{6} hours a week.

Total time she already read =1\dfrac{1}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{4}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{16+9+36}{12} hours

                                              =\dfrac{61}{12} hours

Now,

Remaining time = Total time - Total time she already read

                         =10\dfrac{5}{6}-\dfrac{61}{12}

                         =\dfrac{65}{6}-\dfrac{61}{12}

                         =\dfrac{130-61}{12}

                         =\dfrac{69}{12}

                         =\dfrac{23}{4}

                         =5\dfrac{3}{4}

Therefore, the required time is  5\dfrac{3}{4} hours.

8 0
3 years ago
What is -2/3x+1/3+x=2/5? thanks.
OverLord2011 [107]
-2/3x +1/3 +x = 2/5
⇒ 1/3x + 1/3 = 2/5
⇒ 1/3x = 2/5 -1/3
⇒ x/3 = 1/15
⇒ 15x = 3
⇒ x = 3/15
⇒ x = 1/5
3 0
3 years ago
Classify the two given samples as independent or dependent. Sample 1: Pre-training blood pressure of 17 people Sample 2: Post-tr
Damm [24]

Answer:

Sample  1 : independent

Sample  2 :   dependent

Step-by-step explanation:

From the question we are told that

   The  given date is  

                   Sample 1: Pre-training blood pressure of 17 people

                    Sample 2: Post-training blood pressure of 17 people

Now  Sample 1 is independent because  the Pre-training blood pressure of 17 people does not depend of Post-training blood pressure of 17 people

While  

        Sample 2  is  dependent because the Post-training blood pressure of 17 people is  dependent on the Pre-training blood pressure of 17 people

7 0
3 years ago
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