<h3>
Answer: y = (1/4)x + 3/4</h3>
m = 1/4 = slope
b = 3/4 = y intercept
===================================================
Explanation:
The goal is to solve for y.
Divide both sides by 4 and simplify like so
4y = x+3
4y/4 = (x+3)/4
y = (x+3)/4
y = x/4 + 3/4
y = (1/4)x + 3/4
This equation is in slope intercept form y = mx+b
m = 1/4 is the slope
b = 3/4 is the y intercept
The graph is a straight line that goes through (1,1) and (5,2)
Answer:
28.9°
Step-by-step explanation:
The golfer, hole, and spectator form a triangle. Let ABC be the triangle and let the angle the spectator has between the golfer and the hole be A = 110°, the angle the golfer has between the spectator and the hole be B, and the angle the hole has between the golfer and the spectator be C. Let the angle between the golfer and the hole be a = 200 yards, the distance between the spectator and the hole be b and the distance between the golfer and the spectator be c = 140 yards,
Using the sine rule for the triangle, we find angle C.
So, a/sinA = b/SinB = c/SinC
So, a/sinA = c/sinC
sinC = csinA/a
C = sin⁻¹(csinA/a)
Substituting the values of the variables into the equation, we have
C = sin⁻¹(csinA/a)
C = sin⁻¹( 140sin110°/200)
C = sin⁻¹( 7 × 0.9397/10)
C = sin⁻¹(6.5778/10)
C = sin⁻¹(0.65778)
C = 41.13°
We know that A + B + C = 180° (sum of angles in a triangle)
And since the angle, the golfer has between the spectator and the hole be B
So, B = 180° - (A + C)
B = 180° - (110° + 41.13°)
B = 180° - 151.13°
B = 28.87°
B ≅ 28.9°
Answer: after 19 more minutes.
Step-by-step explanation:
The question is asking how may more minutes until full, wich means the it needs 19 to be half full, it will need 19 more minutes to make it fully full.
But if it wants to know the total amount of minutes needed for the whole can to be full from zero min, than its 38 min.
Answer:
x < -27
-4.5 > m/6
Step 1: Simplify both sides of the inequality.
-4.5 > 1/6 m
Step 2: Flip the equation.
1/6 m < −4.5
Step 3: Multiply both sides by 6.
6* ( 1/6 m ) < (6)* ( −4.5 )
m <− 27
