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3 years ago

Use the X method to find the solutions of 6x2 + 2x – 20 = 0.

Mathematics

2 answers:

Keith_Richards [23]3 years ago

5 0

Answer:Hopes this helps!

6x²+2x-20=0

==>6x²+12x-10x-20=0

==>6x(x+2)-10(x+2)=0

==>(x+2)(6x-10)=0

==>x=-2 or x=5/3

leonid [27]3 years ago

4 0

Answer

-2

5/3

Step-by-step explanation:

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AfilCa [17]

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Further explanation:

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Third Expression is:

$(\frac{1}{2})(-\frac{1}{2})$

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4 years ago

A rectangular parcel of land has an area of 6,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Drupady [299]

Answer:

50ft by 120ft

Step-by-step explanation:

Area of a rectangle = L × W

6000ft² = L × W

L = 6000/W

When a diagonal line divides a rectangle into 2 right angled triangles, the diagonal line = Hypotenuse of either of the triangle and it is the longest side.

The formula for a right angle triangle =

a² + b² = c²( c = hypotenuse)

We are told in the question that:

A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel

Let us assume the side that the hypotenuse is longer than = Width

Hence, the Diagonal = (W + 10)²

Therefore

L² + W² = (W + 10)²

Since L = 6000/W

W² + (6000/W)² = (W + 10)²

W² + (6000/W)² = (W + 10) (W + 10)

W² + (6000/W)² = W² + 10W + 10W + 100

W² + (6000/W)² = W² + 20W + 100

W² - W² + (6000/W)² = 20W+ 100

6000²/W² = 20W + 100

6000² = W²( 20W + 100)

6000² = 20W³ + 100W²

20W³ + 100W² - 6000² = 0

20W³ + 100W² - 36000000 = 0

20(W³ + 5W² - 1800000) = 0

Factorising the quadratic equation,

20(W − 120)(W² + 125W + 15000) = 0

W - 120 = 0

W = 120

Therefore,

W(Width) = 120feet

Since the Width = 120 feet

We can find the length

6000ft² = L × W

L = 6000/W

L = 6000/120

L = 50 feet

The dimensions of the land, correct to the nearest foot is 50ft by 120ft

3 0

3 years ago

Place the samples in order from the sample with the greatest variation to the sample with the least variation.

yulyashka [42]

60 women, 45 women, 20 women, 5women ,

7 0

3 years ago

Read 2 more answers

The length of a rectangle is 2 inches more than a number. The width is 1 inch less than twice the same number. If the area of th

Tanya [424]

Answer:

length: 6 inches

width: 7 inches

Step-by-step explanation:

Let n represent the number. Then the length is (n+2) and the width is (2n-1). The product of these dimensions is the area:

42 = (n+2)(2n -1) = 2n^2 +3n -2

2n^2 +3n -44 = 0 . . . . subtract 42

(n -4)(2n +11) = 0 . . . . . factor

n = 4 . . . . . . . . we aren't interested in the negative solution

Length = 4+2 = 6 . . . inches

Width = 2·4 -1 = 7 . . . inches

6 0

3 years ago

you are traveling down the interstate averaging 50 MPH. How much has passed when you have traveled 120 miles?

kirill [66]

I assume you are asking how much time has passed
now, we can set up a proportion with this:
let x = time(in hours)
$\frac{120miles}{50miles} = \frac{x}{1 hour}$
we cross multiply to get:
$50x=120$
divide both sides by 50 to get:
$x= \frac{120}{50} =2.4= \frac{12}{5}=2 \frac{2}{5}$ hours

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3 years ago