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:
Yes, right triangle
Step-by-step explanation:
Since it is a right triangle, we can use Pythagorean Theorem.
a^2+b^2=c^2
a and b are the legs, or shorter sides, and c is the hypotenuse, or the longest side.
We have 3 side lengths: 6, 8 and 10
6 and 8 are the shorter legs, so they are a and b.
10 is the longest leg, so it is c
Substitute the values into the equation, and see if it is true.
6^2+8^2=10^2
Evaluate the exponents
36+64=100
100=100
Since this is a true statement, these sides can make a right triangle.
Answer:
86
Step-by-step explanation:
The average is the sum of all the grades divided by the number of tests.
83.8 = (84 + 79 + 82 + 88 + x) / 5
419 = 333 + x
x = 86
Answer:
hii
Step-by-step explanation:
I don't know what is the answer