2 x - 5y = 13
2 × -1 - 5 × -3 = 13
Answer:
(-1, -3)
Answer:
hey
Step-by-step explanation:
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
Learn more about lengths of segments on:
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19.8m²
Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.
Side note: 2.7 comes from subtracting 3.6 off of 6.3.
Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²
Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²
Then you add the areas of both the rectangle and the triangle together.
14.4 + 5.4 = 19.8m²
Answer:
mean = 12.9
median = 9.5
Step-by-step explanation:
mean = sum of all observations / total no. of observations
= 7+9+10+6+8+12+5+11+48+13 / 10
=129 / 10
= 12.9
median = middlemost no. after arranging in ascending order
= 5,6,7,8,9,10,11,13,48
=9 and 10
=9+10 / 2
= 19 / 2
= 9.5