Which of the following is the correct equation for the distance formula for the points (x1, y1) and (x2,y2)?

Mathematics

1 answer:

svp [43]3 years ago

4 0

Answer:

A. D=sqrt( (x2-x1)^2+(y2-y1)^2 )

Step-by-step explanation:

The distance between two points is the root of the sum of the squares of the differences in their corresponding coordinates. The equation of choice A is the usual formulation.

<em>Comment on answer choices</em>

Because the square of a number is the same as the square of its opposite, the formula in choice D is also correct.

You might be interested in

Value that makes the ratios equal<br> 4 to 10, 2 to ?

dalvyx [7]

The value that would make the ratios equal to 4 to 10... I believe it would be 2 to 5

4 0

3 years ago

Share £880 into the ratio of 3:1

Shkiper50 [21]

Answer:

1/880

Step-by-step explanation:

4 0

3 years ago

The third term of a sequence is 120. The fifth term is 76.8. Write an explicit rule representing this geometric sequence.

juin [17]

The nth term of the geometric sequence is:
an=ar^(n-1)
where
a=first term
r=common ratio
n=nth term
from the question:
120=ar(3-1)
120=ar^2
a=120/(r^2)....i
also:
76.8=ar^(5-1)
76.8=ar^4
a=76.8/r^4.....i
thus from i and ii
120/r^2=76.8/r^4
from above we can have:
120=76.8/r²
120r²=76.8
r²=76.8/120
r²=0.64
r=√0.64
r=0.8
hence:
a=120/(0.64)=187.5
therefore the formula for the series will be:
an=187.5r^0.8

4 0

3 years ago

Read 2 more answers

DO,K = (5, 0) (10, 0) The scale factor is 1/2 2 5

Lapatulllka [165]

If the preimage point is (5,0) and the image point is (10,0)
then the scale factor is k = 2

Basically the coordinates of the old point have doubled (multiplied by 2)

x = 5 is the old x coordinate
x = 10 is the new x coordinate (5*2 = 10)

y = 0 is the old y coordinate
y = 0 is the new y coordinate (0*2 = 0, no change)

3 0

3 years ago

Find the twenty-fifth term of an arithmetic sequence if the first term is-1 and the common difference is 5. Write the first thre

denis-greek [22]

Answer:

1). $T_{25}=119$