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erica [24]
2 years ago
6

Write the perimeter of the floor plan shown as an algebraic expression in x.

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
5 0
The perimeter is the sum of the enclosing side.

From the figure, the perimeter is
P = 11 + (x-2) + (11-3) + [(x-2) - (x-11)] + (x-11)
   =  11 + x - 2 + 8 + 9 + x - 11
   = 2x + 15

Answer:  2x + 15

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The perimeter of a triangle is 105 cm. If each of the two legs is exactly twice the length of the
Reptile [31]

<em>Greetings from Brasil...</em>

According to the question of the statement, we can conclude that

PQ = 2B

QR = 2B

PR = base = B

Perimeter = P = 105

P = PQ + QR + PR

105 = 2B + 2B + B

B = 21

<h2>PQ = 2B = 42</h2><h2>QR = 2B = 42</h2>

4 0
2 years ago
Can someone help me on question 14. Please show steps
zavuch27 [327]

Answer:

0.5a+7.5b^2

Step-by-step explanation:

4b^2+3.5a-2a+3.5b^2-a

Group similar terms together:

3.5a-2a-a+4b^2+3.5b^2

Add the term b^2:

3.5a-2a-a+7.5b^2

Subtract the term a:

0.5a+7.5b^2

5 0
2 years ago
Find the eccentricity, b. identify the conic, c. give an equation of the directrix, and d. sketch the conic.
densk [106]

Answer:

a) 10/3  

b) hyperbola

c) x = ± 6/5

Step-by-step explanation:

a) A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:

r=\frac{ep}{1\pm e*cos\theta}

Given the conic equation: r=\frac{12}{3-10cos\theta}

We have to make it to be in the form r=\frac{ep}{1\pm e*cos\theta}:

r=\frac{12}{3-10cos\theta}\\\\multiply\ both\ sides\ by\ \frac{1}{3} \\\\r=\frac{12*\frac{1}{3}}{(3-10cos\theta)*\frac{1}{3}}\\\\r=\frac{12*\frac{1}{3}}{3*\frac{1}{3}-10cos\theta*\frac{1}{3}}\\\\r=\frac{4}{1-\frac{10}{3}cos\theta } \\\\r=\frac{\frac{10}{3}(\frac{6}{5} ) }{1-\frac{10}{3}cos\theta }

Comparing with  r=\frac{ep}{1\pm e*cos\theta}

e = 10/3 = 3.3333, p = 6/5

b) since the eccentricity = 3.33 > 1, it is a hyperbola

c) The equation of the directrix is x = ±p = ± 6/5

6 0
2 years ago
Which is the correct answer?
deff fn [24]

Answer:

The answer is H 3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A dealer sold 13 quarts containers and 11 pint containers of ice cream in one day. The number of gallons of ice cream he sold wa
sp2606 [1]

Answer:

4.625 gallons

Step-by-step explanation:

1. 11 pints plus 13 quarts is 18.5 quarts

2. 18.5 quarts is equal to 4.625 gallons

4 0
1 year ago
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