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natta225 [31]
3 years ago
7

Which of the following shows two points on the line f(x)=x-7

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0
The answer is choice (2) and here's why:

The first point (1,-6) means x = 1 and y = -6. Let's replace x and y with these values (1 and -6) into the equation y = x-7 and we'll get...

y = x-7
y = 1-7 ... replace x with 1
-6 = 1-7 ... replace y with -6
-6 = -6 ... this equation is true
Since the equation is true, this means that (1,-6) is on the line


Do the same for the other point (x,y) = (5,-2) to get...

y = x-7
y = 5-7 ... replace x with 5
-2 = 5-7 ... replace y with -2
-2 = -2 ... this equation is true
Since the equation is true, this means the point (5,-2) is also on the line

This confirms that both points are on the line y = x-7

Once again, the answer is choice (2).

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A team of 17 softball players need to choose three players to refill the water cooler. How many different ways are there to sele
KATRIN_1 [288]
<h3>Answer: 680 different combinations</h3>

=======================================================

Explanation:

If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.

So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.

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5 0
3 years ago
Please help me guys
Dima020 [189]
Hello!

OC = OD = Radius
6x + 2 = 10x - 16
6x - 10x = -16 - 2
-4x = -18
x = -18/-4
x = 4.5

Radius = OC = 6(4.5) + 2 = 29 units
5 0
3 years ago
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