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Ludmilka [50]
3 years ago
12

Which expression gives the distance between the points

Mathematics
1 answer:
Alla [95]3 years ago
8 0

Answer:

C

Step-by-step explanation:

The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is

d = √[(x2 - x1)² + (y2 - y1)²]

Here (x2, y2) = (2, 3)  and (x1, y1) = (4, -3)

Plugging them gives us

d = √[(2 - 4)² + (3 - (-3))²]

  d = √[(2 - 4)² + (3 + 3)²]

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You have 5 reindeer and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line how many dif
Shtirlitz [24]

Answer:

60 different ways

Step-by-step explanation:

According to the given data, we have

Number of reindeer i.e 5

Number of them fly their sleigh i.e 3

In order to find  different ways can you arrange your reindeer, we will use "Permutation":

considering, n = 5 and r=3

it becomes,

5P3= 60 (by using calculator)

OR

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4 0
4 years ago
The question is in image!!!!!! plz answer you’ll get 95 points!!
dybincka [34]

Answer:

  • Option A is correct

Step-by-step explanation:

<u>Given functions f(x) and g(x). f(x) is:</u>

  • f(x) = x^2 + 4x + 6

<u>Converted into vertex form, it is:</u>

  • f(x) = (x + 2)^2 + 2

<u>g(x) has vertex at (-2, -14), it's vertex form is:</u>

  • g(x) = (x + 2)^2 - 14

Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).

Both have positive leading factors, therefore the vertex is their minimum point.

Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.

Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.

Correct choice is A

4 0
3 years ago
Read 2 more answers
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