Answer:
The second option (5x+14-4x=23+x-9)
Step-by-step explanation:
For an equation to have infinitely many solutions each side must be exactly the same when simplified.
12+4x=6x+10-2x
Combine alike terms.
12+4x=4x+10
Subtract 4x from each side
12=10
This is not true so this equation has no solutions.
5x+14-4x=23+x-9
Combine alike terms
x+14=14+x
subtract x from each side
14=14
This is true so this equation has infinitely many solutions.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
Option (4)
Step-by-step explanation:
Equation of a line passing through a point and with slope 'm' is,
y - y₁ = m(x - x₁)
Given → Slope 'm' = -2
Point through which the line is passing is (-1, -2)
x₁ = -1 and y₁ = -2
Therefore, equation will be,
y + 2 = -2(x + 1)
y = -2x - 2 - 2
y = -2x - 4
Option (4) is the correct option.
The correct answer among the choices listed is option C. The statement that is not true about corresponding sides is that they are connected by a vertex. Corresponding sides are not connected, they are separate parts in similar polygons.
Answer:
8 gallons
Step-by-step explanation:
Total gas in the car = 14 gallons
Each hour gas usage = 1.5 gallons
Total hours traveled = 4 hours
Left gas after 4 hours
= 14-1.5(4)
=14-6
=8 gallons
Left gas after t hours
=14-1.5t
Hence the answer is after 4 hours, 8 gallons are left after t hour(s) 14-1.5t