Hurry an engineer is designing a building and wants rectangular spaces to maintain a ratio of 2 to 3. for any measurement value x, the length and width of the rectangular spaces can be represented by the functions: length: f(x) = 3x width: g(x) = 2x which function represents the area for any rectangular space in the building? 6x2 6x 3x2 10x

Step-by-step explanation: The area would be the length (2x-6) multiplied by the width (3x-5)

(2x-6)(3x-5)

Use FOIL and the distributive property:

2x(3x)-5(2x)-6(3x)-6(5)

Simplify:

6x^2-10x-18x+30

Simplify and add the like terms:

6x^2-28x+30

2. 6x^2 – 28x + 30

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let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.