Answer:
Step-by-step explanation:
4x+6<= -54
4x <= -60
x <= -15 [The point -15 is included, so it must be a solid dot]
----------------
5x + 7 > -18
5x > -25
x > -5 [The point -5 is NOT included, so it should be an empty dot.]
Solution C seems the best.
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
L₁ is y = 5x + 1 ← in slope- intercept form
with slope m = 5
L₂ is 2y - 10x + 3 = 0 ( subtract - 10x + 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - 
← in slope- intercept form
with slope m = 5
Since L₁ and L₂ have equal slopes then they are parallel lines
Answer:
NO. Alex was wrong.
The total dive distance is 21 + 17 = 38 feet
Step-by-step explanation:
Alex was wrong because his direction of diving is from above the water through the surface of the water to under the water.
So his direction of travelling is not opposite but the same.
Therefore the total distance traveled by Alex = distance traveled from the diving board to the water surface + distance traveled from the water surface to down below the water
Distance traveled from the diving board to the water surface = 21 feet
Distance traveled from the water surface down below the water = 17 feet
Total distance traveled by Alex = 21 feet + 17 feet
= 38 feet.
Thus, Alex was wrong because the the total distance traveled by Alex was 38 feet.
This is the concept of algebra, given that the area of a rectangular pool is (15x-9), the possible dimensions of the pool by factoring will be:
Area=length×width
Area=(15x-9)
factoring the above we get:
Area=3(5x-3)
therefore the possible dimension will be:
length=5x units
width=3 units
: