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Elodia [21]
3 years ago
5

WILL MARK BRAINLIEST: In triangle PQR, the measure of

Mathematics
2 answers:
miss Akunina [59]3 years ago
7 0
It would be the same as measure of triangle RQP
Katyanochek1 [597]3 years ago
6 0
It would be rqp I’m pretty sure
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Anthony wants to find the value of k for which given points W(0,-2), I(2,0) and L(5,k) are collinear
Bogdan [553]

Given:

The three points are W(0,-2), I(2,0) and L(5,k).

To find:

The value of k for which the given points are collinear.

Solution:

We know that, three points are collinear if the area of the triangle formed by these three points is 0.

\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|=0

x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0

The three points are W(0,-2), I(2,0) and L(5,k). So,

0(0-k)+2(k-(-2))+5(-2-0)=0

0+2(k+2)+5(-2)=0

2k+4-10=0

2k-6=0

Adding 6 on both sides, we get

2k=6

k=\dfrac{6}{2}

k=3

Therefore, the correct option is E.

5 0
3 years ago
If you have the average production function: APL=3L2 - 0.05L3, the function of marginal product of labour, MPL is
Sveta_85 [38]

Answer:

<h2>The marginal product of labor function or MPL=9L^{2}-0.2L^{3}.</h2>

Step-by-step explanation:

  • The Average Production Function or APL is given as APL=3L^{2}-0.05L^{3} where "L" represents the overall amount labor in the production process.
  • Therefore, the Total Production Function or TPL,in this case, would be TPL=(3L^{2}-0.05L^{3})\times L=TPL=3L^{3}-0.05L^{4}
  • Hence,the Marginal Product of Labor, which is abbreviated as MPL will be=\frac{dL}{dTPL}=(3\times 3L^{2})-(4\times 0.05L^{3})=9L^{2}-0.2L^{3}
  • Therefore,the marginal product of labor function or MPL=9L^{2}-0.2L^{3}

3 0
3 years ago
What is the remainder when (x^3 + 1) is divided by (x^2 – x + 1)?<br> O x +1<br> Ο x<br> O 2<br> Ο 0
docker41 [41]

Answer:

The answer is 0 .... solution is X+1 the REMAINDER IS 0

Step-by-step explanation:

5 0
3 years ago
Mr. Smith uses the following average for grading Pre - Cal classes: test are 45% of the grade, quizzes count 25%, homework is 15
8090 [49]
He needs to get a 86 on the final to have an 85 in class. I hope this helps!
6 0
3 years ago
Shota invests $2000 in a certificate of deposit that earns 2% in interest each year.Write a function that gives the total v(t) i
brilliants [131]

Answer:

The correct answer is v(t) = (principal × time × 0.02) if calculated simply and v(t) = Principal × ( 1.02) ^ {time} where v(t) is the interest after t years .

Step-by-step explanation:

Principal amount invested by Shota is $2000.

Interest is earned at 2% per year.

Time for which the principal is invested is t years.

Therefore let the total interest be v(t) dollars in t years.

Case 1: Simple Interest.

v(t) = (principal × time × \frac{r}{100} ) = (2000 × t × 0.02) = 40t

Case 2: Compound Interest.

v(t) = Principal × ( 1+ \frac{r}{100}) ^ {t} - Principal =  2000 × ( 1.02) ^ {t} - 2000.

7 0
4 years ago
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