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3 years ago

Bulan rows on a crew team. her team rows their boat at a split (rate) of 2 min over 500 m

Mathematics

1 answer:

just olya [345]3 years ago

5 0

Answer:

250 m/min

Step-by-step explanation:

500 m / 2 min = 250 m/min

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determine m contains the points with coordinates (-4,1) and (5,8) and line n contains the points with coordinates (6,-2) and (10

Dafna11 [192]

I drew up a (bad looking but still useful) grid and it proves the answer to be neither. even if the lines went continued in each direction it shouldn't be possible

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3 years ago

Passing through (2, - 2) and perpendicular to the line whose equation is y= 5x+2

jonny [76]

Step-by-step explanation:

Hey there!!!

Here,

Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.

The equation of a straight line passing through point is,

$(y - y1) = m1(x - x1)$

Now, put all values.

$(y + 2) = m1(x - 2)$

It is the 1st equation.

Another equation is;

y = 5x +2........(2nd equation).

Now, Comparing it with y = mx + c, we get;

m2=5

As per the condition of perpendicular lines,

m1×m2= -1

m1 × 5 = -1

Therefore, m2= -1/5.

Keeping the value of m1 in 1st equation.

$(y + 2) = \frac{ - 1}{5} (x - 2)$

Simplify them.

$5(y + 2) = - x + 2$

$5y + 10 = - x + 2$

$x + 5y + 8 = 0$

Therefore the required equation is x+5y+8= 0.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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3 years ago

on the last night of scout camp Chris his wife Joe and the 11 other adults sit down for supper along one side of a long rectangu

yawa3891 [41]

Based on the information provided, it follows that there are 1,728 possible seating arrangements.

<h3>How can we find the number of possible arrangements?</h3>

To find the number of arrangements in this problem situation we must take into account the following key factors:

Chris only has 1 possible seat.
Jo has 2 possible seats.
Dave, Alex, and Barb have 3 possible seats.
Gareth, Fred, and Eddie have 3 possible seats.
There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.

According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.

<h3>What is factoring?</h3>

A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.

In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:

Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24

Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below: