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Dominik [7]
3 years ago
8

Write an equation of the line that passes through point p and is perpendicular to the line with the given equation p(5,20)

Mathematics
1 answer:
DiKsa [7]3 years ago
8 0
Line that is perpendiculoar with>?.>>>.>?????
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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
4 0
3 years ago
Will mark brainliest
Simora [160]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A taxi cab charges $1.45 for the flat fee and $0.55 for each mile. Write an inequality to determine how many miles Ariel can tra
V125BC [204]

Answer:

B. $1.45 + $0.55 is less than or equal to $35

Step-by-step explanation: Because Ariel has to pay $1.45 when she gets in the taxi then each mile after (x) is $0.55 and she only has $35 therefore it is less than or equal to.

4 0
3 years ago
Read 2 more answers
Suppose we take the interval [−5,7] and divide it into 4 equal subintervals. Find the width Δn of each subinterval. Δn = If we n
lana66690 [7]

Answer:

x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7

Δn=3

Step-by-step explanation:

Remember, if we need to divide the interval (a,b) in n equal subinterval, then we need divide the distance (d) between the endpoints of the interval and divide it by n. Then the width Δn of each subinterval is d/n.

We have the interval [-5,7]. The distance between the endpoints of the interval is

d=7-(-5)=12.

Now, we divide d by 4 and obtain \frac{d}{4}=\frac{12}{4}=3

Then, Δn=3.

Now, to find the endpoints of each sub-interval, we add 3 from the left end of the interval.

-5=x_0\\x_0+3=-5+3=-2=x_1\\x_1+3=1=x_2\\x_2+3=4=x_3\\x_3+3=7=x_4

So,

x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7

5 0
3 years ago
quadrangle college has a space for 580 students in the first year class the college estimates that 65% of the studentswho are ad
navik [9.2K]
580*.65 Is 377 so 377 students will attend the colledge
5 0
4 years ago
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