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3 years ago

8

Kerry wants to remodel his house by knocking down a wall between two adjacent rectangular rooms the dimensions of the rooms are

shown on the blue print

1 answer:

Monica [59]3 years ago

3 0

This Answer is:

4x^2+18x+18

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WILL GIVE BRANLIEST!!!!!!!!!!!!!

Lunna [17]

Answer:

D is the answer

Step-by-step explanation:

6 0

3 years ago

Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes di

quester [9]

Resposta:

Primer rectangle:

Amplada = 11

Longitud = 14

Segon rectangle:

Amplada = 12

Longitud = 15

Tercer rectangle:

Amplada = 13

Longitud = 16

Explicació pas a pas:

Donat que:

Primer rectangle:

Amplada = x

Longitud = x + 3

2n rectangle:

Augment de la dimensió d'1 cm respecte al primer rectangle;

Amplada = x + 1

Longitud = x + 4

3r rectangle:

Augment de la dimensió de 2 cm respecte al primer rectangle;

Amplada = x + 2

Longitud = x + 5

Suma dels tres perímetres del rectangle:

Perímetre d'un rectangle: 2 (l + O)

Primer rectangle:

2 (x + x + 3) = 2 (2x + 3) = 4x + 6

2n:

2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10

3r:

2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14

Suma de perímetres = 162

(4x + 6 + 4x + 10 + 4x + 14) = 162

12x + 30 = 162

12x = 162 - 30

12x = 130

x = 11

Per tant,

Primer rectangle:

Amplada = 11

Longitud = 11 + 3 = 14

2n rectangle:

Amplada = 11 + 1 = 12

Longitud = 11 + 4 = 15

3r rectangle:

Amplada = 11 + 2 = 13

Longitud = 11 + 5 = 16

8 0

3 years ago

Let f(x)=−1/4(x+4)^2−8 . What is the average rate of change for the quadratic function from x=−2 to x = 2? Enter your answer in

kiruha [24]

Answer:

Average rate of change of function is -2.

Step-by-step explanation:

Given $f(x)=\frac{-1}{4}(x+4)^2-8$ .

we have to find the average rate of change for the quadratic function from x=−2 to x = 2.

$f(-2)=\frac{-1}{4}(-2+4)^2-8=\frac{-1}{4}(4)-8=-9$

$f(2)=\frac{-1}{4}(2+4)^2-8=\frac{-1}{4}(36)-8=-17$

The average rate of change of the function f(x) on interval [-2,2] is

$\frac{f(b)-f(a)}{b-a}=\frac{f(2)-f(-2)}{2-(-2)}=\frac{-17-(-9)}{4}=\frac{-8}{4}=-2$

3 0

3 years ago

A circle has a radius of 12 inches. Find the length of the arc intercepted by a central angle of 120 degrees to the nearest tent

OlgaM077 [116]

Answer:

25.12 inches

Step-by-step explanation:

We have given the radius of the circle =12 inches

The central angle intercepted by the arc =120°

We have to find the length of the arc

So length of the arc is given by $2\pi \times r\times \frac{central\ angle}{360}$

$=\frac{2\times \pi \times 12\times 120}{360}=25.12inches$

So the length of the arc will be 25.12 inch

3 0

3 years ago

Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...

timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

$a_1=-36$

now, we can find common ratio

$r=\frac{6}{-36}$

$r=-\frac{1}{6}$

now, we can find nth term

$a_n=a_1(r)^{n-1}$

now, we can plug values

and we get

$a_n=36(-\frac{1}{6})^{n-1}$

now, we can find 5th term , 6th term, 7th term

fifth term:

$a_5=36(-\frac{1}{6})^{4}$

$a_5=\frac{1}{36}$

sixth term:

$a_6=36(-\frac{1}{6})^{5}$

$a_6=-\frac{1}{216}$

seventh term:

$a_7=36(-\frac{1}{6})^{6}$

$a_7=\frac{1}{1296}$

so, next terms are

$a_5=\frac{1}{36}$ , $a_6=-\frac{1}{216}$

, $a_7=\frac{1}{1296}$ .............Answer

6 0

3 years ago