Answer: a) D = √148
m = (-5,4)
b) D = √241
m = (1, 7.5)
c) D = √20
m = (0,-4)
Step-by-step explanation:
Distance and Midpoint Formulas
distance = D = √[(x₂-x₁)² + (y₂-y₁)²]
Midpoint: m = ((x₂+x₁)/2 , (y₂+y₁)/2)
(−4, 10) and (−6, −2)
D = √[(-6-(-4))² + (-2-10)²] = √[(-6+4))² + (-2-10)²] = √[(-2))² + (-12)²] =
√[4 + 144] = √148
m = ((-6+(-4))/2 ; (-2+10)/2
m = (-10/2 ; 8/2)
m = (-5,4)
(−1, 15) and (3, 0)
D = √[(3-(-1))² + (0-15)²] = √[(3+1))² + (0-15)²] = √[(4)² + (-15)²] =
√[16 + 225] = √241
m = ((3+(-1))/2 ; (0+15)/2
m = (2/2 ; 15/2)
m = (1,7.5)
(2, −3) and (−2, −5)
D = √[(-2-2)² + ((-5)-(-3)²] = √[(-4))² + (-5+3)²] = √[(-4)² + (-2)²] =
√[16 + 4] = √20
m = (-2+2))/2 ; (-5+(-3))/2
m = (0/2 ; -8/2)
m = (0,-4)
Answer:
32 mm²
Step-by-step explanation:
perimeter of left rectangle = 2(9 mm + 3 mm) = 24 mm
length of right rectangle = L
perimeter of right rectangle = 2(L + 4 mm) = 2L + 8
perimeter of right rectangle = 24 mm
The perimeter of the right triangle is 2L + 8 and also 24, so 2L + 8 must equal 24. We can solve for L and find the length of the right rectangle.
2L + 8 = 24
2L = 16
L = 8
area of right triangle = length × width
area = 8 mm × 4 mm
area = 32 mm²
9514 1404 393
Answer:
D, 60 miles
Step-by-step explanation:
Distance is indicated by the vertical scale. The section that represents the most distance will be the section that has the greatest vertical difference between its start and end points. Section D starts at 60 and ends at 0 miles, so covers a distance of 60 miles. The greatest distance covered by any other section is 30 miles.
The person traveled the farthest during section D. They traveled 60 miles.
Answer:
y = -14
y = 39
Step-by-step explanation:
K - Kitchen
b - Bedroom
l - Library
k = 4b
l = 14b
k + b + l = 817 pounds
4b + b +14b = 817 pounds
19b = 817 lbs
b = 817/19 pounds
b = 43 pounds
Since k = 4b
k = 4 * 43 pounds
k = 172 pounds
