Answer:
-5≤x <1
Step-by-step explanation:
sqrt( x+5) / sqrt(1-x)
The numerator must be greater than zero since it is a square root
sqrt(x+5) ≥0
Square each side
x+5≥0
x≥-5
The denominator must be greater than zero (the denominator cannot be zero)
sqrt(1-x)> 0
Square each side
1-x > 0
1>x
Putting these together
-5≤x <1
Answer:
The angles formed on line b when cut by the transversal are congruent with ∠2 are 
Step-by-step explanation:
Consider the provided information.
If transversal line crossed by two parallel lines, then, the corresponding angles and alternate angles are equal .
The angles on the same corners are called corresponding angle.
Alternate Angles: Angles that are in opposite positions relative to a transversal intersecting two lines.
∠2 and ∠6 are corresponding angles
Therefore, ∠2 = ∠6
∠2 and ∠7 are alternate exterior angles
Therefore, ∠2 = ∠7
Hence, the angles formed on line b when cut by the transversal are congruent with ∠2 are 
Answer:
40(1.25-t)
Step-by-step explanation:
There are 3 components to consider; time, speed and distance
Time and Speed are given.
The distance has to be calculated.
- Speed to work = 55 miles per hour
- Time to work = 1.25-T
- Speed to home = 40 miles per hour
- Time to home = 1.25-t
- Total Time = T + t = 1.25
<u>Distance for trip to home</u>
Speed = Distance/Time
40 = Total Distance/1.25-t
Total Distance = 40(1.25-t)
<em>Therefore, 40(1.25-t) is the correct answer.</em>
!!
Sedimentary rocks for the first one I think
3x+2y=11
y=5x-1
Substitute the y in the first equation:
3x+2(5x-1)=11
y=5x-1
3x+10x-2=11
y=5x-1
13x=13
y=5x-1
Now substitute the x to find the y:
x=1
y=5-1=4