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liubo4ka [24]
2 years ago
10

Given that

Mathematics
1 answer:
ANEK [815]2 years ago
3 0

Answer:

Given that,

R = 3x + 9y

Also, given that,

y = 6

R = 7

We have to find the value of x

For that, you can to put 6 and 7 to the equation instead of y and R respectively.

R = 3x + 9y

7 = 3x + 9 × 6

7 = 3x + 54

7 - 54 = 3x

- 47 = 3x

\frac{-47}{3} = \frac{3x}{3}

\frac{-47}{3}=x

Hope this helps you :-)

Let me know if you have any other questions :-)

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egoroff_w [7]
Your vertex would be (-1,-5)
and your axis of symmetry is x=-1
8 0
3 years ago
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If 8 identical blackboards are to be divided among 4 schools,how many divisions are possible? How many, if each school mustrecei
MAXImum [283]

Answer:

There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.

Step-by-step explanation:

Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.

 The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is {11 \choose 3} = 165 . As a result, we have 165 ways to distribute the blackboards.

If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is {7 \choose 3} = 35. Thus, there are only 35 ways to distribute the blackboards in this case.

4 0
3 years ago
Which one is correct ?
mina [271]

Answer:

Answer choice B

Step-by-step explanation:

The measures of angles on touching the opposite sides of the circles are always half the lengths of their respective arc. 126/2=63, or answer choice B. Hope this helps!

3 0
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VashaNatasha [74]

Answer:

this question is not complete. need another equation

Step-by-step explanation:

give another equation then I can solve

\frac{3}{8} x =  \frac{17}{24}  -  \frac{1}{3} y \\ x =  \frac{17}{9}  -  \frac{8}{9} y

7 0
3 years ago
Look at the graph below. Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3
Salsk061 [2.6K]

Answer and Explanation:

The line seems to pass trough the points (0,6) and (-3,4).

Slope is: m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{4-6}{-3-0} =\frac{-2}{-3} =\boxed{\frac{2}{3}}

The slope of the line should be \frac{2}{3}.

3 0
3 years ago
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