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3 years ago

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n a coordinate grid, Jeff’s house is located at point (2, 6) and Vicki’s house is located at a point ( 2, 12). Chloe’s house is

halfway between Jeff’s house and Vicki’s house. On the coordinate grid, where is Chloe’s house located?

1 answer:

SVEN [57.7K]3 years ago

3 0

Chloe’s house is located at (2,9)

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A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2 hours going downstream. What is the rate of th

Temka [501]

The boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"

so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it

now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker

now, recall your d = rt, distance = rate * time

$\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&100&b-c&5\\
downstream&100&b+c&2
\end{array}
\\\\\\
\begin{cases}
100=(b-c)5\\
\qquad \frac{100}{5}=b-c\\
\qquad 20=b-c\\
\qquad 20+c=\boxed{b}\\
100=(b+c)2\\
\qquad 50=b+c\\
\qquad 50=\boxed{20+c}+c
\end{cases}$

solve for "c", to see what's the current's speed

what's "b"? well 20+c = b

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3 years ago

Chelsea asked people at her school their favorite color and graphed the results of her survey. Some colors are not on Chelsea's

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Answer:

you're gonna need the graph for an answer but if you can tell me the colors maybe I can answer it.

Step-by-step explanation:

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AVprozaik [17]

Answer:

x=8

Step-by-step explanation:

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3 years ago

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charle [14.2K]

Answer:

Step-by-step explanation:

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$x=\frac{-b}{2a}$

Note that in general a quadratic equation is such that:

$ax^2+bx+c$

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Therefore we can determine the x component of the vertex by plugging in the values known and so:

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Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

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Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:

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4 years ago

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SashulF [63]

Answer:

x = (8-6i)/10

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Step-by-step explanation:

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