The lengths of each of the segments connected by the given pairs of points are:
1. AB = 10 units
2. CD = 17 units
3. EF = 3 units
<h3>How to Find the Length of Segments Connected by Two Points?</h3>
To find the length of a segment connected by two coordinate points, the distance formula is applied, which is:
d =
.
1. Find the length of segment AB:
A(5,-3)
B(-3,3)
AB = √[(−3−5)² + (3−(−3))²]
AB = √[(−8)² + (6)²]
AB = √100
AB = 10 units
2. Find the length of segment CD:
C(-2, -7)
D(6, 8)
CD = √[(6−(−2))² + (8−(−7))²]
CD = √(64 + 225)
CD = 17 units
3. Find the length of segment EF:
E(5,6)
F(5,3)
EF = √[(5−5)² + (3−6)²[
EF = √(0 + 9)
EF = √9
EF = 3 units
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Answer:
$53
Step-by-step explanation:
17+24=41
41+12=53
The volume of a sphere with radius
.
Here the radius is
. The volume is

Answer:
y = 8
Step-by-step explanation:
Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.
The distance between two points on the coordinate plane is given as:

In triangle ABC:

In triangle MNO:

Since triangle ABC and triangle MNO are congruent, hence:
|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

Hence O = (4, 8)
Answer:
(-4/3), 0.4, 0.8, √2, √11
Step-by-step explanation:
√11=3.316624790355399849114932736670686683927088545589353597058
0.4
(-4/3) = -1.33333333333333333333333333333333333333333333333333333333
0.8
√2=1.414213562373095048801688724209698078569671875376948073176
Thus :
(-4/3)
0.4
0.8
√2
√11