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Ksenya-84 [330]
3 years ago
9

NEED HELP-20pts- MUST SHOW STEPS AND HOW YOU DID IT

Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0
3. slope is 7  (slope = rise/run) count from the left most point to the other
     up 7 right 1 both positive so slope = 7/1 reduced is 7
4.  slope is 1/3 same process as above 
     up 1 right 3 both positive movement so slope is 1/3 
5.  y = 1/3x - 4    slope intercept form is y = (slope)x + (y-intercept)
     y-intercept is where the graph touches the y-axis
6.  y = 3x + 4
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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
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Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

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