Answer: 2y124√y12
How to: <u>Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.</u>
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Answer:
depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.
Step-by-step explanation:
For this case we have that by definition, the line equation of the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the statement we have:

Thus, the equation is of the form:

We substitute the given point and find "b":

Finally, the equation is of the form:

Answer:

Answer: One vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.
Step-by-step explanation:
You know that lenght of the mantel above their fireplace is 12 feet.
They want to place one vase
of the distance from one end of the mantel. This distance in feet is:

They want to place the other vase
of the distance from the same end of the mantel. Therefore, this distance in feet is:

Therefore, one vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.
Answer:
X= 5
Explanation (Steps):
<u>Step 1: Simplify both sides of the equation.</u>
−3.4(x−2)=9.8−4x
(−3.4)(x)+(−3.4)(−2)=9.8+−4x(Distribute)
−3.4x+6.8=9.8+−4x
−3.4x+6.8=−4x+9.8
<u>Step 2: Add 4x to both sides.</u>
−3.4x+6.8+4x=−4x+9.8+4x
0.6x+6.8=9.8
<u>Step 3: Subtract 6.8 from both sides.</u>
0.6x+6.8−6.8=9.8−6.8
0.6x=3
<u>Step 4: Divide both sides by 0.6.</u>
0.6x0.6=3/0.6
x=5