Answer: There are 
in one inch.
Ok so to find which sides are congruent we need to know their lengths.
To find the length we need the distance formula between two point ->
√(X2-X1)∧2 +(Y2-Y1)∧2
Ok lets find the first side PQ
P(-1,3) Q(2,-1)
X1 Y1 X2 Y2
√(2-(-1)∧2 + (-1-3)∧2 = 5
Now PR
P (-1,3) R (5,3)
X1 Y1 X2 Y2
√(5-(-1))∧2 + (3-3)∧2) = 6
Now the last side QR
Q (2, -1) R (5,3)
X1 Y1 X2 Y2
√(5-2)∧2 + (3-(-1))∧2 = 5
From the above work we see that PQ and QR are congruent becuase they are equal PQ=QR
Also the opposite angles of these sides are congruent. Hope this helps :).
Answer:
B & C
Step-by-step explanation:
I'm not sure if you can have two answers but both of them are linear. A And D aren't because they have absolute value
Answer:
W = 15/4 ft . ib
Step-by-step explanation:
Force = 10ib
According to hooked law, f(x) = kx
x = 4inches = 4/12 ft
x= 1/3ft
f(x) = 1/3k
10 = 1/3k
k = 30 ib/ft
f(x) = 30x
Workdone = integral of f(x) with its limit
6 inches = 6/12 ft
= 1/2ft
W = integral(1/2 to 0) of 30x
W = 15x^2(1/2 to 0)
W = 15(1/2)^2 - 15(0)^2
W = 15(1/4) - 0
W = 15/4 ft. Ib
Answer:
a) 0.033
b) 0.468
c) 100
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 105.3
Standard Deviation, σ = 8
The amount x of miraculin produced (measured in micro-grams per gram of fresh weight) had a normal distribution.
Formula:
a) P(x > 120)
Calculation the value from standard normal z table, we have,
b) P(x between 100 and 110)
c) P(x < a) = 0.25
Calculation the value from standard normal z table, we have,
