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Stella [2.4K]
3 years ago
9

A small garden measures 8 ft by 7 ft. A uniform border around the garden increases the total area to 110 ft 2. What is the width

of the border?
Mathematics
1 answer:
Alik [6]3 years ago
8 0

Answer: 3

Step-by-step explanation:

You can answer this question by using the equation

(8+x)(7+x)=110

The x represents the width, as we do not know the area. If you simplify the equation, it becomes 56+15x+x2=110.

If you move all the terms to the left side, and rearrange it, it can become x^2+15x-54=0

This can be simplified into (x-3)(x+18)=0

This equation makes it so that x is either 3 or -18. It is not possible for a width to be -18, so the width must be 3.

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Find the diagonal of a square whose sides are of the given measure. Given = 6sqrt2
jeyben [28]

Answer:

=12 units

Step-by-step explanation:

When a square is cut along one diagonal, it forms a right angled triangle whose legs are the sides of the square and the hypotenuse is the diagonal of the square.

Therefore, the Pythagoras theorem is used to find the hypotenuse.

a² + b² = c²

(6√2)²+(6√2)²=c²

72+72=c²

c²=144

c=√144

=12

The diagonals of the square measure 12 units each.

 

6 0
4 years ago
Equation M: y = 3x + 4
solmaris [256]
Y = 3x + 4
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or look at it this way..
y = 3x + 4
y = 3x + 7

both have slopes of 3...but the y intercepts are different......when this happens, it means the lines are parallel with no solution
4 0
3 years ago
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I hope this helps you



0,2 close 1


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3 years ago
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Slav-nsk [51]
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