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amid [387]
4 years ago
10

At what point do the curves r1(t) = t, 5 − t, 48 t2 and r2(s) = 8 − s, s − 3, s2 intersect?

Mathematics
1 answer:
DerKrebs [107]4 years ago
3 0
Set components equal:
t = 8-s \\  5-t = s-3 \\  48 t^2 = s^2

From this we find:
t = 8-s \\  s =  4 \sqrt{3} t

Substitute and solve system:
t = \frac{8}{1+4 \sqrt{3}} = 1.009  \\ \\  s = 8-t = 8 - 1.009 = 6.991

The point where they intersect is:
(1.009, 5-1.009, 48(1.009)^2)
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The answer is B. to help you with future problems, anything that's not a deposit you just subtract from the starting number
4 0
3 years ago
The expression 100 + 20m, gives the volume of water in Eduardo's pool (in liters) after Eduardo spends m minutes filling his poo
Fudgin [204]

Answer:

205 litres

Step-by-step explanation:

The expression that gives the volume of water in Eduardo's pool (in liters) is:

100 + 20m

where m is time, in minutes

After 5\frac{1}{4} minutes (\frac{21}{4} minutes), the volume is will be:

100 + (20 * \frac{21}{4} )\\\\\\100 + (5 * 21)\\\\\\100 + 105

= 205 litres

The volume of water in the poll will be 205 litres.

8 0
4 years ago
Solve the literal equation for the given variable<br> n =4/5(m+7); m
Step2247 [10]

Answer:

<h2>m =  \frac{5n}{4}  - 7</h2>

Step-by-step explanation:

<h2>n =  \frac{4}{5} (m + 7)</h2>

First of all multiply both sides by 5

That's

<h3>5n = 5 \times  \frac{4}{5} (m + 7) \\ 5n = 4(m + 7)</h3>

<u>Next divide both sides by 4</u>

That's

m + 7 =  \frac{5n}{4}

Subtract 7 from both sides to make m stand alone

We have

<h3>m + 7 - 7 =  \frac{5n}{4}  - 7</h3>

We have the final answer as

<h3>m =  \frac{5n}{4}  - 7</h3>

Hope this helps you

7 0
3 years ago
Order the numbers in each list from least to greatest. <br>0,|-14|, 13, -12, |-16|,17​
Mrac [35]

Answer:

-12, 0, 13, [-14], [-16], 17

Step-by-step explanation:

3 0
4 years ago
What is an equation of the line that passes through the point (-5 7) and is parallel to the line x-5y=15
mafiozo [28]

Answer:

Step-by-step explanation:

Parallel lines have same slope.

y = mx + b

Slope = m  & y-intercept = b

x - 5y = 15

   -5y = -x + 15

      y = \frac{-1}{-5}x + \frac{15}{-5}\\\\

y = \frac{1}{5}x - 3

so, slope = 1/5   ; (-5 , 7)

y -y1 = m(x -x1)

y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8

5 0
3 years ago
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