The base of a triangular prism has a area of 18 square inches. If the height of the prism is 4.5 inches, then what is the volume
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Answer:
Step-by-step explanation:
<u>Equation of a LIne</u>
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
We are required to find the equation of a line that passes through the point (-5,7) and is parallel to the line x+5y=10.
This information provides us the values of h=-5 and k=7. We now need to determine the value of the slope.
Two parallel lines have equal values for the slopes. The equation of the line
x + 5y = 10
Can be rearranged in such a way we can find its slope. Let's solve it for y:
5y = -x + 10
The slope of this line is -1/5 and that is the same value of the slope of our line, thus its equation is:
Adding 7:
Operating:
The cost when two companies charge the same is $ 9006
<em><u>Solution:</u></em>
Let "x" be the tons of sugar
<em><u>The first company charges 6597 to rent trucks plus an additional fee of $200.75 for each ton of sugar</u></em>
Therefore,
Amount for first company: 6597 + 200.75(tons of suagr)
Amount for first company: 6597 + 200.75x --------- eqn 1
<em><u>The second company charges $7500 to rent trucks plus an additional fee of $125.50 for each ton of sugar</u></em>
Therefore,
Amount for second company: 7500 + 125.50(tons of sugar)
Amount for second company: 7500 + 125.50x --------- eqn 2
<em><u>For what amount of sugar do the companies charge the same?</u></em>
For both the companies to charge the same, eqn 1 must be equal to eqn 2
6597 + 200.75x = 7500 + 125.50x
200.75x - 125.50x = 7500 - 6597
75.25x = 903
x = 12
Thus for 12 tons of sugar, both the companies charge the same
<em><u>What is the cost when two companies charge the same?</u></em>
Substitute x = 12 in any one of equations
Let us substitute x = 12 in eqn 1
Thus the cost when two companies charge the same is $ 9006