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adelina 88 [10]
3 years ago
7

A rectangle has side lengths of x + 3 and 2 – x. Find an expression that describes the area of the rectangle.

Mathematics
2 answers:
Rus_ich [418]3 years ago
5 0

Answer:

D


Step-by-step explanation:

We find the area of a rectangle by multiplying the lengths of both the sides <em>(length and width).</em>

  • One side given is x+3
  • Another side given is 2-x

Multiplying these 2 will give us the expression for the area of the rectangle <em>(we use distributive property given by  a(b+c)=ab+ac in this problem to multiply)</em>

Area = (x+3)(2-x)\\=2x-x^2+6-3x

<em>Now combining like terms and rearranging, we have:</em>

<em>2x-x^2+6-3x\\=-x-x^2+6\\=-x^2-x+6</em>


Answer choice D is right.


bezimeni [28]3 years ago
3 0

Answer:

D

Step-by-step explanation:

distributive property:

2x - x^2 + 6 - 3x

simplify:

-x^2 - x + 6


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3x - 5y = 14 and – 2x + 2y = 0
zubka84 [21]

Answer:

x=5.6

y=-5.6

Step-by-step explanation:

3x - 5y = 14 Equation 1

– 2x + 2y = 0 Equation 2

Simultaneous equation can be solved either through elimination method or substitution method. But we use elimination method for this question

Multiply equation 1 by -2 (the coefficient of x in equation 2) and multiply equation 2 with 3 (the coefficient of x in equation 1), so that x will have the same coefficient in the new equations, and easy to eliminate

-2(3x - 5y = 14)

-6x+10y=-28 Equation 3

3(– 2x + 2y = 0)

-6x+6y=0 Equation 4

Subtract equation 4 from 3 to eliminate x

-6x+10y=-28

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-6x-(-6x)=-6x+6x=0

10y-6y=5y

-28-0=-28

5y=-28

y=-28/5

y=-5.6

Substitute for y in equation 2

– 2x + 2y = 0

– 2x + 2(-5.6) = 0

-2x-11.2=0

-2x=11.2

x=-11.2/2

x=5.6

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2 years ago
Which statement best describes a chord of a circle? (1 point)
Viefleur [7K]

Answer:

<em>c. It is a segment that connects two distinct points on a circle.</em>

Step-by-step explanation:

c. It is a segment that connects two distinct points on a circle.

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lutik1710 [3]

Answer:

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II) 8.76582 * 10 ³ hours

Step-by-step explanation:

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But the second answer has six significant figures if we round these we get 8.8  * 10 ³ hours which has two significant numbers

Aslo rounding the first gives 8.8 * 10 ³ hours which has two significant numbers  and is the same as the other answer rounded

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