Answer:
6. If the x intercept is a then (a,0) is on the line. If y-intercept is b then (0,b) is on the line. Now you have two points of the line and can get its formula. The slope between thse points is m=(0−b)(a−0)=−b/a. So the equation of line is y=mx+b=−bx/a+b. Now rearrange as y+bx/a=b divide by b to get y/b+x/a=1
Sadly I can't get eight right now but once I do I will edit this.
Step-by-step explanation:
The volume<span> of a triangular </span>prism<span> can be found by multiplying the base times the height. I would be glad to answer the question if you gave me some reference numbers to plug into the formula to get the volume for you.</span>
First, let's multiply the first equation by two on the both sides:
<span>8x + 7y = 39 /2
</span>⇒ 16x + 14y = 78
Now, the system is:
<span>16x + 14y = 78
</span><span>4x – 14y = –68
</span>
After adding this up in the column:
(16x + 4x) + (14y - 14y) = 78 - 68
20x = 10
⇒ x = 10/20 = 1/2
y can be calculated by replacin the x:
<span>8x + 7y = 39
</span>⇒ 8 · 1/2 + 7y = 39
4 + 7y = 39
7y = 39 - 4
7y = 35
⇒ y = 35 ÷ 7 = 5
Given that the subway stations are 930 m apart, the train have to be accerelated for half the distance and then decerelated for the rest of the distance.
Recall that the distance travelled by an object with an initial velocity, u, for a period of time, t, at an accereration, a, is given by
But, we assume that the train accelerates from rest, thus
The maximum speed is attained at half the center of the distance between subway stations (i.e. at distance = 465 m).
Thus, maximum speed = distance / time = 465 / 23.12 = 20.11 m/s.
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1 2 3 1 2 3 1 2 3
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3 3 3 3 3 3 3 3 3
3(9)
27