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NemiM [27]
3 years ago
10

A rectangular vegetable garden will have a width that is 4 feet less than the length, and an area of 140 square feet. If x repre

sents the length, then the length can be found by solving the equation:
x(x-4)= 140

What is the length, x, of the garden?

The length is blank feet.

The solution is
Mathematics
1 answer:
UNO [17]3 years ago
8 0

Answer:

The length of the garden=14 feet

Step-by-step explanation:

<em>Step 1: Determine the dimensions of the garden</em>

length of the garden=x feet

width of the garden=(x-4) feet

<em>Step 2: Determine the area of the garden</em>

Area of the garden=length×width

where;

area=140

length=x

width=x-4

replacing'

x(x-4)=140

x²-4x-140=0, solve the quadratic equation;

x={-b±√(b²-4ac)}/2a

x={4±√4²-4×1×-140}/2×1

x={4±√(16+560)}/2

x={4±√576}/2

x=(4±24)/2

x=(4+24)/2=14, or (4-24)/2=-10, take x=14

The length=14 feet, width=(14-4)=10 feet

The length of the garden=14 feet

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Advocard [28]

Answer:

-3.5 or -6

Step-by-step explanation:

2x^2+19x+40=-2

2x^2+19x+40+2=0

2x^2+19x+42=0

2x^2+(12+7)x+42=0

2x^2+12x+7x+42=0

2x(x+6)+7(x+6)=0

(x+6)(2x+7)=0

either,

x+6=0

x=-6

or,

2x+7=0

2x=-7

x=-7/2

x=-3.5

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a fruit company delivers its fruit in two types of boxes large and small a delivery of five large boxes and two small boxes have
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Large boxes:19 kg

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8 0
3 years ago
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Delvig [45]

Answer:

Yes, look at the explanation:

Step-by-step explanation:

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8 0
3 years ago
What is the interquartile range (IQR) of the following data set 17 16 21 15 25 22 18 23 17
Pepsi [2]

IQR = 6

First locate the median Q_{2} at the centre of the data arranged in ascending order. Then locate the lower and upper quartiles Q_{1} and Q_{3} located at the centre of the data to the left and right of the median.

Note that if any of the above are not whole values then they are the average of the values either side of the centre.

rearrange data in ascending order

15 16 ↓17 17 18 21 22 ↓23 25

                     ↑

Q_{2} = 18

Q_{1} = \frac{16+17}{2} = 16.5

Q_{3} = \frac{22+23}{2} = 22.5

IQR = Q_{3} - Q_{1} = 22.5 - 16.5 = 6




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How many decimeters are in 3.5 dekameters? Use the metric table to help answer the question.
nataly862011 [7]

it’s 350 or B. hope this helps! :)

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3 years ago
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