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Flauer [41]
3 years ago
11

is there a proportional relationship between the area of an enlarged rectangle and the area of the original rectangle

Mathematics
1 answer:
Maru [420]3 years ago
6 0
I don’t think so because I haven’t done this sorry
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. Orlando needs to fix windows in his house. He must buy 3 feets of wood,
ira [324]

Answer:(7x3)+(4x24)=117

Step-by-step explanation:

Since he needs 3 feet of wood and it is 7 dollar per foot, you need to multiply 7 by 3. Since he needs 4 pieces of glass and its 24 dollars per glass multiply 4 by 24. Add the products. Ur done!

4 0
2 years ago
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An exponential function f(x) = ab^xpasses through the points (0, 2) and (3, 54). What are the values of a and
Vsevolod [243]

Answers:

a = 2

b = 3

=======================================================

Explanation:

Plug in x = 0 and y = 2 to find that

y = a*b^x

2 = a*b^0

2 = a*1

2 = a

a = 2

Then plug in x = 3 and y = 54 to determine the value of b

y = a*b^x

y = 2*b^x

54 = 2*b^3

2b^3 = 54

b^3 = 54/2

b^3 = 27

b = (27)^(1/3)

b = 3

So we have y = a*b^x update to y = 2*3^x

7 0
3 years ago
PLZZZZZZZZZZ I WILL GIVE BRAINLIEST AND 15PTS!!!!!!!!!!!!!!
vazorg [7]

Answer: ( 0, 2 )

Step-by-step explanation:

You have to put coordinates of each graph on these equations y = -x + 2 and y = (1/2)x + 2. If putting coordinates satisfies both equations, then that coordinate will be the solution.

For example, let's put (0, 2) to equations.

y = -x + 2

2 = -0 + 2

2 = 2, true

y = (1/2)x + 2

2 = (1/2) × 0 + 2

2 = 2, true

So, ( 0, 2 ) is the solution.

7 0
3 years ago
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A.Draw parallel lines AB and CD.
ddd [48]

Answer:

Lines stay parallel or overlap

Step-by-step explanation:

AB and CD are parallel lines

Rotation around a point 90 degrees clockwise will make these lines perpendicular to their initial position but AB and CD will still be parallel to each other

They will overlap if the distance between them and point E is equal

Their initial slope is same and equal to m

Their final slope will be -1/m as a result of 90 degrees rotation

5 0
3 years ago
Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each
emmasim [6.3K]

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

x\approx 2.9ft

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2

Jake wants to increase the area by 50%, so the new area would be:

A'=168(1.5) \\ \\ A'=252ft^2

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

x\approx 2.9ft

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

6 0
3 years ago
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