What point on the parabola y=3-x^2 is closest to the point (3,3)?

Thai noticed that if he takes the opposite of his age and adds 40 he gets the number 28 how old is Thai

sveticcg [70]

40 - 28 do that and you'll get your answer

7 0

3 years ago

A motorboat that travels with a speed of 20 km/hour in still water has traveled 20 km against the current and 180 km with the cu

Gala2k [10]

Recall your d = rt. distance = rate * time.

let's say the speed of the current is "c".

keeping in mind that, when the boat is going against the current, the boat is not really going at 2kmh, but instead at " 20 - c ", because the current is subtracting speed from it.

Likewise when is going with the current, is going at a speed of " 20 + c ".

if the boat took say "t" hours on the way over, on the way back it took the slack from the whole 8 hours and "t", namely it took " 8 - t " hours.

$\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{against the current}&20&20-c&t\\
\textit{with the current}&180&20+c&8-t
\end{array}
\\\\\\
\begin{cases}
20=(20-c)(t)\implies \frac{20}{20-c}=t\\
180=(20+c)(8-\stackrel{\downarrow }{t})\\
--------------\\
180=(20+c)\left( 8- \stackrel{\downarrow }{\frac{20}{20-c}}\right)
\end{cases}
\\\\\\
180=(20+c)\left( \cfrac{(160-8c)-20}{20-c} \right)$

$\bf 180=(20+c)\left( \cfrac{140-8c}{20-c} \right)\implies 180(20-c)=(20+c)(140-8c)
\\\\\\
3600c-180c=2800-160c+140c-8c^2
\\\\\\
3600c-180c=2800-20c-8c^2
\\\\\\
3600c-180c-2800+20c+8c^2=0\implies 8c^2-160c+800=0
\\\\\\
c^2-20c+100=0\implies (c-10)(c-10)=0\implies \boxed{c=10}$

8 0

3 years ago

Christopher has breakfast at a cafe and the cost of his meal is \$36.00$36.00dollar sign, 36, point, 00. Because of the service,

Leokris [45]

Answer:

His total bill including the tip = $39.6

Step-by-step explanation:

Christopher has breakfast at a cafe and the cost of his meal is $36.00

Because of the service, he wants to leave a 10% tip. This means that he would be paying more than the original cost of the meal. The cost of tip would be determined by multiplying the original cost of the meal by 10%. This becomes

Cost of tip = 10/100 × 36.00 =

0.1× 36.00= $3.6

His total bill including the tip would be sum of the cost of the original bill + cost of the tip. It becomes

36.00 + 3.6 = $39.6

6 0

4 years ago

"a student is randomly choosing the answer to each of five true-false questions in a test. how many possible ways can the studen

Mice21 [21]

$2^5=32$

..........

5 0

3 years ago

Read 2 more answers

Drummers march in two patterns for one song. One pattern has

Dafna11 [192]

Answer:

Suppose we have a total of 16 drummers.

for the first pattern we have 2 drummers in each row, this means that we have a total of 16/2 = 8 rows.

Now, for the second pattern, we have 4 times as many in each row, so we have 4*2 = 8 drummers in each row, then we have 16/8 = 2 rows.

You can see that in each pattern we have the same number of drummers, but a different number of rows.

Now, we only can do this if the total number of drummers is a multiple of 8 (because in the second part we want 8 drummers in each row, so if we want that the numbers of rows to be a whole number, then we must have that the total number of drummers is a multiple of 8)

7 0

3 years ago

What point on the parabola y=3-x^2 is closest to the point ​(3​,3​)?

What point on the parabola y=3-x^2 is closest to the point (3,3)?