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Doss [256]
3 years ago
8

Augusto has a rectangular garden that is 11 feet wide. The length of the diagonal is 1 foot greater than the length of the garde

n. What is the length of the garden?
A.58 feet
B.59 feet
C.60 feet
D.61 feet
Mathematics
1 answer:
brilliants [131]3 years ago
5 0
The answer is C
call the length is a => the diagonal is a+1
11^2 + a^2=(a+1)^2
<=> 121 + a^2=a^2 + 2a +1
<=>120=2a
<=> a=60
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slamgirl [31]

Answer:

The eighteenth term is B

Step-by-step explanation:

I could just write the pattern A B A C out until you get to the eighteenth term

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4 0
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How many sign changes are in the polynomial f(x) = 3x3 + 7x2 + 9x - 1
Stels [109]
6 unless it talks about positive to negative then its 2
7 0
3 years ago
Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

Now

f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

= -8

So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0
3 years ago
It takes one week for a crew of workers to pave 3/5 kilometer of a road. At that rate, how long will it take to pave 1 kilometer
Flauer [41]

Answer:

1.67 weeks

Step-by-step explanation:

Let X= time it will take to pave 1 kilometer?

1 week=3/5 kilometer

X week =1 kilometer

Cross multiply

3/5 X= 1

3X= 5

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1.67 weeks

8 0
3 years ago
PLS HELP ME 50 POINTS!!!!! I NEED AN ANSWER ASAP!!!!!!
Sholpan [36]

Answer:

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Step-by-step explanation:

You can find that by finding the distance from -2 to 14.
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d = |14 - (-2)| \to |14 + 2|\to|16|\to16

4 0
1 year ago
Read 2 more answers
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