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Mice21 [21]
3 years ago
8

–6(x + 5) + 3 = –2(x + 4) – 4x

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0

Step-by-step explanation:

–6(x + 5) + 3 = –2(x + 4) – 4x

–6x – 30 + 3 = –2x –8 – 4x

–6x –27 = –6x –8

–6x + 6x = –8 + 27

0 = 19

no solution

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(1 point) A particle starts at the point P=(−2,−1,3)P=(−2,−1,3) when t=0t=0 and moves along a straight line toward Q=(−4,0,6)Q=(
Ahat [919]

Answer:

The position is given by r(t) =  (-2 -t √14, 1 + √3.5, 3 + 3√3.5)

Step-by-step explanation:

The direction is given by the difference between the starting point and the end point, thus it is (-4,0,6)-(-2,-1,3) = (-2,1,3). The norm of this vector is        √( (-2)²+1²+3²) = √14 = 3.7416 secons

Since the speed is 7 cm/sec, we need to multiply this vector by 7/√14 = √3.5 in order to obtain how much does the particle advance each second.

As a consecuence, it advances (-2,1,3) * √3.5 = (- √14, √3.5, 3 √3.5)

And, as a result, the position after t seconds is given by the function

r(t) = (-2,1,3) + t (-√14, √3.5, 3 √3.5) = (-2 -t √14, 1 + √3.5, 3 + 3√3.5)

8 0
3 years ago
Events A and B are mutually exclusive. Also P(A) =0.2 and P(B) = 0.37. What is P(A or B)
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Answer:

0.074

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7 0
3 years ago
Heyy pls help! worth 20 points, and please only help if you know the answer. also no links those r kinda annoying lol
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To find b, substitute in one (x,y) pair and it doesn't matter which one.  I'll go with (4,-2):

    \begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}

Now take that b-value and plug in into the slope-intercept form:

     y=-\dfrac{3}{2}x+4

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.

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What is the slope of the line that passes through the pair of points?<br> (5, 8), (9,-3)
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Answer:

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