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Vitek1552 [10]
2 years ago
5

Michael lives in the northwest corner of Clark County. Clara

Mathematics
1 answer:
timama [110]2 years ago
7 0

Answer:

About 0.41 hours

Step-by-step explanation:

THe distance between Michael and Clara is 44 km.

We know D = RT,

Where

D is distance

R is rate (speed)

T is time

For Michael, we can write:

D = 47t

For Clara, we can write:

D = 61t

If we let michael's distance be x, Clara's distance would be 44 - x

So, we can say:

x = 47t

and

44 - x = 61t

Putting first equation into 2nd, we get:

44 - 47t = 61t

SOlving:

44 - 47t = 61t

44 = 61t + 47t

44 = 108t

t = 44/108 = 0.41 hours

The commute took 0.41 hours

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Find the equation of the normal to the curve y=x^2-2x^2-4x+1 at thepoint (-1,2)​
balandron [24]

Answer:

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

Step-by-step explanation:

Assuming that the first exponent in the formula for the curve should be 3, not 2...

y=x^3-2x^2-4x+1

The derivative is

y'=3x^2-4x+4

The slope of the tangent line at the point (-1, 2) is the value of the derivative at x = -1.

y'|_{x=-1} = 3(-1)^2-4(-1)+4=3-4+4=3

The slope of the normal line is the opposite reciprocal of the slope of the tangent line.

m_{\text{normal} = -\frac{1}{3}

Using the Point-Slope form of a linear equation, the normal line is

y-2=-\frac{1}{3}(x-(-1))\\y-2=-\frac{1}{3}(x+1)\\y=-\frac{1}{3}x-\frac{1}{3}+2\\y=-\frac{1}{3}x+\frac{5}{3}

5 0
2 years ago
Find the product of -4x 3 y 2(7xy 4)
Lesechka [4]

Answer:

What are the signs between the numbers?

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The are of a rectangle is 54 cm. The length is 2 cm more than a x and the width is 5 cm less than twice x. Solve for x. Round yo
romanna [79]
Given that:

(x+2)(2x-5)=54

We have:
2x^2-x-64=0

Using the quadratic formula, this is approximately 5.66, so rounded to the nearest whole number, our answer is 6.
4 0
2 years ago
What fraction is equal to .66?<br><br> A.1/3<br><br> B.1/5<br><br> C.2/3<br><br> D.2/4
photoshop1234 [79]
2/3 is the answer. 

<span>1/3 is equal to 33.33333333% </span>

<span>so 2/3 is equal to 66.6666666%</span>
8 0
2 years ago
Please help me :3 please explain
Ivahew [28]

Using a proportional relationship, the amounts are given as follows:

  • Tennis 3, Soccer 7.
  • Tennis 36, Soccer 84.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, we have that:

  • The input variable is the number of tennis players.
  • The output variable is the number of soccer players.

From the first row of the table, the constant is given as follows:

k = 35/15 = 7/3.

Hence the relationship is:

y = 7/3x.

For the second row of the table, we have that x = 3, hence:

y = 7/3 x 3 = 7.

For the third row of the table, we have that y = 84, hence:

84 = 7/3x

x = 84 x 3/7

x = 36.

Then the amounts are given as follows:

  • Tennis 3, Soccer 7.
  • Tennis 36, Soccer 84.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

7 0
11 months ago
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