Answer- 8.4
Work =14 3/5 = 8.4
Answer:
The values of
and
so that the two linear equations have infinite solutions are
and
, respectively.
Step-by-step explanation:
Two linear equations with two variables have infinite solution if and only if they are<em> linearly dependent</em>. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:
(1)
(2)
The following condition must be observed:
(3)
After some quick operations, we find the following information:
,
, 
The values of
and
so that the two linear equations have infinite solutions are
and
, respectively.
Answer:
8 2/3lbs
Step-by-step explanation:
6 1/2×1 1/3=6 3/6+2 1/6
=8 4/6= 8 2/3
9514 1404 393
Answer:
- sin(θ) = -7/√65
- csc(θ)=-√65/7
- cot=-4/7
Step-by-step explanation:
For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.
d = √(4² +(-7)²) = √(16 +49) = √65
The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.
sin(θ) = y/d = -7/√65
csc(θ) = 1/sin(θ) = -√65/7
cot(θ) = x/y = -4/7
_____
If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.
Answer:
1 hour and 30 minutes
Step-by-step explanation: