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zhannawk [14.2K]
2 years ago
9

A​ person's rectangular dog pen for his dog must have an area of 200 square feet.​ Also, the length must be 12 feet longer than

the width. Find the dimensions of the pen.
Mathematics
1 answer:
kherson [118]2 years ago
6 0

Answer:

width = 9.36 ft

length = 21.36 ft

Step-by-step explanation:

Let the width be x ft long. Then it follows that the length will be (x+12) ft long.

To calculate the area would then be

x(x+12) = 200

xx^{2} +12x=200x^{2} +12x-200=0

x = 9.36 ft or x = -21.36 ft

We take the positive answer. So the dimensions are

width = 9.36 ft

length =  9.36 + 12 = 21.36 ft

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The set of ordered pairs represents a
Murrr4er [49]

Answer:

The rule that represents the function is y=x^2+1 therefore the function is f(x)=x^2+1

Step-by-step explanation:

We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>

Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.

<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.

So <u>we propose the rule </u>y=x^2+1<u> which is correct for the first 3 values of x.</u>

Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as

f(2)=2^2+1=5

f(3)=3^2+1=10

Therefore, the rule is correct, and the function is

f(x)=x^2+1

8 0
3 years ago
Before you make an offer on a home, you should first make sure your mortgage loan application has received a
Nadya [2.5K]
After you submit your loan application, the lender does an extensive check on your finances and credit record. If everything checks out, the lender will state the exact amount they're willing to loan you. The preapproval is good for a set amount of time, usually 60–90 days.
6 0
2 years ago
If f(x)=|2x-4| find f(-7)
Yuri [45]

Answer:

18

Step-by-step explanation:

sub in x = -7 into the equation

f(-7) = |-14-4| = |-18| = 18

4 0
1 year ago
Solve 7 3/4- 5 5/4=
Kaylis [27]

Hey!

----------------------------------------------

Solution:

(5/4 = 1 1/4) and (1 1/4 + 6 = 6 1/4)

= 7 3/4 - 6 1/4 (5/4 = 1 1/4)

= 1 2/4 or 1 1/2

----------------------------------------------

Answer:

1 2/4 or 1 1/2

----------------------------------------------

Hope This Helped! Good Luck!

8 0
3 years ago
two buses leave a station at the same time and travel in opposite directions. One bus travels 15 km/h faster than the other. If
Marina CMI [18]

The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr

<h3>What is speed?</h3>

Speed is a scalar quantity that refers to "how fast an object is moving".

Given that, two buses leave a station at the same time and travel in opposite directions, one bus travels 15 km/h faster than the other, the two buses are 1004 kilometres apart after 4 hours,

Speed = distance/ time

Let the speed of the slower bus be v and the faster bus be (v+15)

According to the question,

vt + (v+15)t = 1004

vt + vt + 15t = 1004

t = 4

4v + 4v + 60 = 1004

8v = 944

v = 118

Hence, The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr

For more references on speed, click;

brainly.com/question/7359669

#SPJ1

8 0
9 months ago
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