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monitta
3 years ago
6

I WILL GIVE BRAINLIEST ANSWER TO THE CORRECT ANSWER!! PLEASE ASAP

Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0

Answer:

1.5

Step-by-step explanation:

the slope is regarded as :

= \frac{y2-y1}{x2-x1}

this is also known as the <em>gradient </em>, meaning the differences of two y values divided by the differences of the two corresponding x values

take two values on the slope and put in the form ( x,y)

we shall use two points A and B

A = (80 , 100)

B =  (20 , 10)

now use the formula:

\frac{10-100}{20-80}

=\frac{-90}{-60}

= \frac{3}{2}

also can be represented into an integer form

answer is <u>1.5</u>

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Length = 12 m and width = \frac{7}{2} m.

Solution:

Let the width of the rectangle be w.

Length of the rectangle = 2w + 5

Area of the rectangle given = 42 m²

<em>Area of the rectangle = length × width</em>

length × width = 42

(2w + 5) × w = 42

2w^2+5w=42

Subtract 42 from both sides, we get

2w^2+5w-42=0

Using quadratic formula,

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here, a=2, b=5, c=-42

$w=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 2(-42)}}{2 \cdot 2}

$w=\frac{-5 \pm \sqrt{25+336}}{4}

$w=\frac{-5 \pm \sqrt{361}}{4}

$w=\frac{-5 \pm19}{4}

$w=\frac{-5+19}{4}, w=\frac{-5-19}{4}

$w=\frac{14}{4}, w=\frac{-24}{4}

$w=\frac{7}{2}, w=-6

Dimension cannot be in negative, so neglect w = –6.

Width of the rectangle = \frac{7}{2} m

$L=2(\frac{7}{2} )+5=12 \  m

Hence length = 12 m and width = \frac{7}{2} m.

4 0
4 years ago
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