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emmainna [20.7K]
3 years ago
15

Dylan uses the expressions (x2 – 2x + 8) and (2x2 + 5x – 7) to represent the length and width of his bedroom. Which expression r

epresents the area (lw) of Dylan's room?
Mathematics
2 answers:
balu736 [363]3 years ago
7 0

Answer:

2x^4+ x^3 - x^2 + 54x - 56 expression represents the area of Dylan’s room

Step-by-step explanation:

C on edge :)

lawyer [7]3 years ago
6 0

Answer:

2x⁴+x³-x²+54x+56

Step-by-step explanation:

Given the expression length of dylan room =  (x² – 2x + 8) and width = (2x² + 5x – 7), assuming the shap of the room is rectangular in nature, the formula for calculating area of a triangle is given as;

Area of rectangle = Length *Width

Area of the rectangle =  (x² – 2x + 8)(2x² + 5x – 7)

Area of the rectangle  = x²(2x² + 5x – 7) - 2x (2x² + 5x – 7) + 8(2x² + 5x – 7)

= (2x⁴+5x³-7x²)-(4x³+10x²-14x)+(16x²+40x-56)

expanding the bracket

= 2x⁴+5x³-7x²-4x³-10x²+14x+16x²+40x-56

Collecting the like terms;

= 2x⁴+5x³-4x³-7x²-10x²+16x²+40x+14x+56

= 2x⁴+x³-x²+54x+56

Hence, the expression that represents the area (lw) of Dylan's room is 2x⁴+x³-x²+54x+56

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Cloud [144]
Hi,

( - 9) - ( - 13) + (3)  \\  - 9 - ( - 13) + (3) \\  - 9 + 13 + 3 = 7

Hope this helps.
r3t40
4 0
3 years ago
Real Answers Only!!!!
lyudmila [28]

Answer:

The correct answer is C) Reflection across the Y-axis.

Step-by-step explanation:

This is because only the x-coordinates changed. If these coordinates were reflected across both the x and y axis' the sign of both the x and y coordinates would have changed. When  you reflect a point across the x axis, the y-coordinates change their sign. When you <u><em>reflect </em></u><u>a point across the y axis</u>, the <u>x-coordinates change</u> their sign.

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

5 0
3 years ago
Taylor needs to repair her car but cannot spend more than $260 for the repairs. The part needed for the repair will cost $80 and
Oksanka [162]

Answer: 6 hours

Step-by-step explanation:

Taylor cannot spend over $260.

Subtract the cost of the part needed for the repair:

= 260 - 80

= $180

$180 is left for fixing the car after buying the part.

As the labor costs $30 and now she cannot exceed $180 for labor, the total number of hours the mechanic can work is:

= 180 / 30

= 6 hours

6 0
3 years ago
Need help with these math questions please.
Bas_tet [7]

Answer:

8 - 2π square units.

π/16 - 1/8 square units.

6π - 9√3 square units.

Step-by-step explanation:

The area of the square = 2√2 * 2√2

= 2*2*2

= 8.

The area of the circle = πr^2

= π * [ ( 2√2)/ 2) ]^2

=  π (√2)^2

=  2π.

Second Question:

The area of the circle = π(1/2)^2 = π/4.

Finding the area of the square:

1^2 = 2x^2

x^2 = 1/2

So the area of the square = 1/2

So the area of the red part = 1/4 ( π/4 - 1/2).

= π/16 - 1/8.

Third question

Area of the circle = 6^2 * π = 36π.

Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.

The area of the segment = 6π -  0.5 * 6^2 sin 60

= 6π - 18√3/2

= 6π - 9√3 square units.

6 0
3 years ago
Jim’s pay is £180 each week.
irina [24]

increases by 11.1% and his raise £18 and £2 less than what he wants

8 0
2 years ago
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