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Viefleur [7K]
3 years ago
9

Factorizar: (11x3 – 2y)2 =

Mathematics
2 answers:
Juliette [100K]3 years ago
6 0

Answer:

66-4y

Step-by-step explanation:

(11x3 – 2y)2
= (33 -2y)2
= 66-4y

Margaret [11]3 years ago
6 0

BODMAS

(11×3-2y)2

121×9-4y2

1089-4y2

=4y2-1089

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A rancher has 200 feet of fencing to enclose two adjacent corrals
Arturiano [62]

Answer:

a) Each corral should be 33⅓ ft long and 25 ft wide

b) The total enclosed area is 1666⅔ ft²

Step-by-step explanation:

I assume that the corrals have identical dimensions and are to be fenced as in the diagram below

Let x = one dimension of a corral

and y = the other dimension

 

(a) Dimensions to maximize the area

The total length of fencing used is:

4x + 3y = 200

4x = 200 – 3y

x = 50 - ¾y

The area of one corral is A = xy, so the area of the two corrals is

A = 2xy

Substitute the value of x

A = 2(50 - ¾y)y

A = 100 y – (³/₂)y²

This is the equation for a downward-pointing parabola:

A = (-³/₂)y² + 100y

a = -³/₂; b = 100; c = 0

The vertex (maximum) occurs at  

y = -b/(2a)  = 100 ÷ (2׳/₂) = 100 ÷ 3 = 33⅓ ft  

4x + 3y = 100

Substitute the value of y

4x + 3(33⅓) = 200

4x + 100 = 200

4x = 100  

x = 25 ft

Each corral should measure 33⅓ ft long and 25 ft wide.

Step 2. Calculate the total enclosed area

The enclosed area is 50 ft long and 33⅓ ft wide.

A = lw = 50 × 100/3 = 5000/3 = 1666⅔ ft²

6 0
3 years ago
Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area
Setler79 [48]

Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

3 0
3 years ago
Read 2 more answers
Investments increase exponentially by
Blizzard [7]

Using an exponential function, it is found that you would have $10,240 after 18 years.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

Considering the initial value of $2,500, and the growth rate of 60% every 6 years, the equation is given by:

A(t) = 2500(1.6)^\frac{t}{6}

Hence, after 18 years, the amount is given by:

A(18) = 2500(1.6)^\frac{18}{6} = 10240

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0
2 years ago
JK is tangent to OG at point K, m2JKG = (x+¹3¹), and m2KGJ = (x+2). What is<br><br> mzJGK=
brilliants [131]
Ok ok fine here is the answer

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3 years ago
Can someone help???
OLga [1]
The formula for that is V=\frac{lwh}{3}
but the answer is 4,940cm³ so C.
6 0
3 years ago
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