Answer:
a. x = (2 -3y)/(y+3)
b. x = -4/5
Step-by-step explanation:
<h3>a.</h3>
Clear the fraction, collect x terms, divide by the coefficient of x.

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<h3>b.</h3>
Put 2 where y is and do the arithmetic.
x = (2 -3(2))/(2 +3) = (2 -6)/5
x = -4/5
Substitute the first y= equation into the y of the second. Distribute as needed and solve for x. x=2 and then plug it in to find y. y=7
Answer:
Step-by-step explanation:
y=2x-5
From y=mx+c
Comparing the equation
M=2.
For parallelism
M₁=M₂
y-y₁=m(x-x₁) equation of a line passing through a point
point (-4,2) are x₁ and y₁ respectively
y-2=2(x-(-4))
y-2=2(x+4)
y-2=2x+8
y=2x+8+2
y=2x+10
Hi there Kay,
The correct answer according to a cylinder calculator would be 339.29 cubic inches but the closest answer you have would be 339.12 cubic inches
Answer:
v = 3.64 ft/s
Step-by-step explanation:
Given that,
Radius of a carousel, r = 18 feet
It takes 31 seconds to complete revolution.
We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.
d = 2πr
d = 2π × 18 = 113.09 feet
Let v is the linear speed. It can be given by :

So, the linear speed of the carousel is 3.64 ft/s.