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TiliK225 [7]
3 years ago
13

2. The area of a rectangular plot is 2x2 + 5x + 3 and length (x+1). What is the width?pls help​

Mathematics
2 answers:
valentinak56 [21]3 years ago
7 0

Answer:

The width equals 2x+3

Step-by-step explanation:

horrorfan [7]3 years ago
4 0

Area of a Rectangle = Length x Width

(2x² + 5x + 3) / (x + 1) = 2x + 3

(x + 1) × (2x + 3) = 2x² + 5x + 3

So the width is 2x + 3

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Find the equation of a line that passes through (-5,4) and us parallel to y=-6/7x+3​
irina [24]

Given:

The given equation of line is

y=-\dfrac{6}{7}x+3

To find:

The equation of line that passes through (-5,4) and is parallel to the given line.

Solution:

Slope intercept form of a line is

y=mx+b    ...(i)

where, m is slope and b is y-intercept.

We have,

y=-\dfrac{6}{7}x+3      ...(ii)

On comparing (i) and (ii), we get

m=-\dfrac{6}{7}

Slope of given line is m=-\dfrac{6}{7}.

Slope of parallel lines are same. So, slope of parallel line is m=-\dfrac{6}{7}.

The required line passes through (-5,4) with slope m=-\dfrac{6}{7}. So, the equation of line is

y-y_1=m(x-x_1)

y-4=-\dfrac{6}{7}(x-(-5))

y-4=-\dfrac{6}{7}(x+5)

y-4=-\dfrac{6}{7}x-\dfrac{30}{7}

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y=-\dfrac{6}{7}x-\dfrac{2}{7}

Therefore, the correct option is a.

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3 years ago
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