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IceJOKER [234]
3 years ago
14

An architect designs a rectangular flower garden such that the width is exactly two thirds of the length of 270 feet of an antiq

ue picket fencing are to be used​
Mathematics
1 answer:
bezimeni [28]3 years ago
8 0
Width=180
Area=48600
Perimeter=900
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Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture
ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

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2 years ago
An elf counted 12 small holiday sweaters, 34 medium holiday sweaters, and 27 large holiday sweaters on the store shelves. She al
mariarad [96]

Answer:

What is the question?

Step-by-step explanation:

7 0
2 years ago
Cho A =
FromTheMoon [43]

Step-by-step explanation:

uyghouihh9uhu9h9h79h97gouhh,jhkjhouhouhkjhkugiyt75r75r76f8ug87

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2 years ago
What is the length of the hypotenuse of right UVW shown?
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Answer:

UV

Step-by-step explanation:

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2 years ago
For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicu
Nat2105 [25]

Answer/Step-by-step explanation:

Given,

10x - 3y = 3

3x + 10y = 30

Rewrite both equation in slope-intercept form, y = mx + b.

Where, m = slope of the line.

Thus,

✔️10x - 3y = 3

-3y = -10x + 3

y = 10/3x - 1

Slope of this line would be 10/3

✔️3x + 10y = 30

10y = -3x + 30

y = -3/10x + 3

The slope of this line is -³/10.

✔️The two lines are pendivukar to each other because the slope of one is the negative reciprocal of the other.

4 0
3 years ago
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