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Travka [436]
3 years ago
14

What is the distance between (7, 9) and (-4, 9)

Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

11 unites

Step-by-step explanation:

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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. X = t5 1, y = t6 t;
kifflom [539]

The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.

<h3>How to calculate the tangent of the parameter curves at a point?</h3>

The curves are given below.

x = t⁵ + 1 and y = t⁶ + t

Then differentiate the functions with respect to t, then we have

\rm \dfrac{dx}{dt} = 5t^4\\   ...1

and

\rm \dfrac{dy}{dt} = 6t^5 + 1   ...2

Divide equation 2 by equation 1, then we have

\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}

Then the slope of the equation at t = −1, then we have

dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]

dy/dx = (-6+1)/5

dy/dx = -5/5

dy/dx = -1

Then the equation of the tangent line will be

y = -x + c

x + y = c

Where c is a constant.

More about the tangent of the parameter curves at a point link is given below.

brainly.com/question/12648555

#SPJ4

8 0
2 years ago
The reference angle for 5pie/4 is pie/4, which has a terminal point (sqr2/2,sqr2/2), what is the terminal point of 5pie/4?
labwork [276]

Check the picture below.

7 0
2 years ago
The lengths of the sides in a triangle are consecutive odd integers. If the perimeter of the triangle is 57, how
BlackZzzverrR [31]
Each side would be measure 19
6 0
3 years ago
CALCULATE PR :)<br> Merry Xmas btw
weeeeeb [17]

Answer:

PR = 7.9

Step-by-step explanation:

By sine rule:

\frac{12.5}{ \sin \: 66 \degree}  =  \frac{PR}{ \sin \: 37 \degree}  \\  \\  \frac{12.5}{ 0.9135454576}  =  \frac{PR}{ 0.6018150232}  \\  \\ PR =  \frac{12 \times 0.6018150232}{0.9135454576} \\  \\ PR =  \frac{12 \times 0.6018150232}{0.9135454576}  \\  \\PR =  \frac{7.22178028}{0.9135454576}  \\  \\ PR = 7.90522269 \\  \\ PR \approx \: 7.9

4 0
3 years ago
How to find what percent 120 is of 449.99 (what percent is 120 of 449.99)
Over [174]

Answer:

26.67% to nearest hundredth.

Step-by-step explanation:

Write it as a fraction and multiply by 100>

= 120/ 449.99  * 100

= 12000/449.99

= 26.667 %.

5 0
2 years ago
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