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Naddik [55]
3 years ago
14

A particle is moving along the curve y= 5sqrt(5x+4) . As the particle passes through the point (1,15), its x-coordinate increase

s at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Mathematics
1 answer:
evablogger [386]3 years ago
4 0
The question ask to find the rate of change of the distance from the paticle to the origin at this instant where as a particle is moving along the curve y = 5sqrt(5x+4) and base on my calculation, I came up with an answer of 254/sqrt(226). I hope you are satisfied with my answer and feel free to ask for more 
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Factor and add steps please<br><br> 81u^6+192
attashe74 [19]
ANSWER : (9u - 8)2



STEPS:

Step-1 : Multiply the coefficient of the first term by the constant 81 • 64 = 5184

Step-2 : Find two factors of 5184 whose sum equals the coefficient of the middle term, which is -144 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -72 and -72
81u2 - 72u - 72u - 64

Step-4 : Add up the first 2 terms, pulling out like factors :
9u • (9u-8)

Step-5 : Add up the four terms of step 4 :
(9u-8) • (9u-8)
Which is the desired factorization



5 0
1 year ago
Mark said, "in the data set,4, 5, 5, 8, the mean and mode the same. " Is he correct? Explain why or why not in your explanation
Vinvika [58]

Answer:

No

Step-by-step explanation:

the mean is 16 (add 4+5+5+8, then divide answer by 4) and the mode is 5 (occurs most in data)

5 0
2 years ago
If she spent a total of $44.25 on fabric, what was the cost per yard? She bought 14 3/4. Explain how you solved
Deffense [45]

44.25 \div 14.75 = 3
$44.25 total divided by how many yards (14.75) = $3/yard
6 0
3 years ago
Solve for x.
Ostrovityanka [42]

Answer:

C.  3, -7

Step-by-step explanation:

x^2 +4x-21 =0

Factor

What 2 numbers multiply to -21 and add to 4

7*-3 = -21

7-3 = 4

(x+7) (x-3) =0

Using the zero product property

x+7 =0       x-3=0

x+7-7=0-7     x-3+3=0+3

x = -7            x=3

3 0
3 years ago
Read 2 more answers
What is the next step
iragen [17]

Answer:

measure of angle ABC is 6 degree.

Step-by-step explanation:

After you found x, you'll plug it in the equation of the angle it's asking for.

Measure of angle ABD, and you know measure of angle ABC = 4x-1.

4(1)-1 = 4-1 = 3

Measure of angle CBD = 2x+1.

2(1) +1 = 3

Measure of angle ABC is ABD + CBD

3 + 3 = 6

6 0
2 years ago
Read 2 more answers
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