Step-by-step explanation:



Answer:
b = -30
Step-by-step explanation:
-b/5 - 27 = -21
~Add 27 to both sides
-1/5b = 6
~Multiply -5 to both sides
b = -30
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Answer:
is the slope intercept form for 16x+9y=40
Step-by-step explanation:
Here, the given equation is 16 x + 9 y = 40
Now, the slope intercept form of an equation is y = mx + c,
here m = slope of the equation, b = y - intercept
So, now 16x + 9y = 40 on simplification gives
9y = 40 - 16x
or 
or,
is the slope intercept form of the given equation.
Here, m = (-16/9) and y- intercept = 40/9
Comparision of volume of sphere and cube=0.98820059
coparision of surface area of sphere and cone=0.807582012
Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.
<h3>Equation for
speed</h3>
Speed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent Karen speed and b represent Melinda speed, hence:
a = b + 10
a - b = 10 (1)
Also:
a = d₁ / 1
d₁ = a
b = d₂/ 1 hour
d₂ = b
Since they are 108 miles apart, using Pythagoras:
108² = d₁² + d₂²
a² + b² = 11664
(b + 10)² + b² = 11664
b = 71.2 mph, a = 81.2 mph
Karen is moving at 81.2 miles per hour while Melinda is moving at 71.2 miles per hour.
Find out more on speed at: brainly.com/question/4931057