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gladu [14]
3 years ago
14

Write the equation of a line parallel to y=3x-2 and goes through the point (-6,-11)

Mathematics
1 answer:
zzz [600]3 years ago
5 0

Answer:

The equation of the line would be y = 3x + 7

Step-by-step explanation:

In order to find the equation of the new line, start by taking the slope from the first line (3). This is because parallel lines have the same slope. Next, we use that and the point in point-slope form.

y - y1 = m(x - x1)

y - -11 = 3(x - -6)

y + 11 = 3(x + 6)

y + 11 = 3x + 18

y = 3x + 7

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The length of a rectangle is 3 more yrd than twice the width. The area is 869yrd^2
Otrada [13]

Width=20.108 yrd and Length=43.216 yrd

Step-by-step explanation:

Let width = w

Length =3+2w

Area = 869 yrd^2

We need to find length and width of rectangle.

The formula used is:

Area= length*width

Putting values:

Area= length*width

869= (3+2w)*(w)

869= 3w+2w^2

2w^2+3w-869=0

Using quadratic equation to find value of width w:

w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a=2, b=3 and c=-869

w=\frac{-3\pm\sqrt{(3)^2-4(2)(-869)}}{2(2)}

w=\frac{-3\pm\sqrt{6961}}{4}

w=\frac{-3\pm 83.4}{4}

w=\frac{-3+83.4}{4}\,\,and\,\,w=\frac{-3-83.4}{4}

w=20.108\,\,and\,\,w=-21.6

Since width can't be negative so, width w=20.108

Length will be: L=3+2w = 3+2(20.108)=3+40.216=43.216

So, Width=20.108 yrd and Length=43.216 yrd

Keywords: Area of rectangle

Learn more about Area of rectangle at:

  • brainly.com/question/3306327
  • brainly.com/question/6270221
  • brainly.com/question/6564657

#learnwithBrainly

4 0
3 years ago
Two solutions of the polynomial equation are given. Use synthetic division to find any remaining solutions.
liubo4ka [24]

Answer:

The remaining solutions are -7 and 3.

Step-by-step explanation:

The synthetic division is shown in the attachment. After dividing the first two found factors from the polynomial, the remaining quadratic is ...

x^2 +4x -21 = 0

Its rational roots will be factors of -21, and the sum of their opposites will be 4. Knowing that 21 = 3·7, we can guess that the remaining roots are -7 and 3. The synthetic division confirms that. (A graph also confirms it.)

8 0
3 years ago
There are three different companies that are willing to provide the hot dogs.
Oliga [24]

Answer:uhghyge

Step-by-step explanation:

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5 0
3 years ago
Identify the double displacement reaction.
Anit [1.1K]
A double replacement reaction occurs when the ionic parts of two ionic compounds are exchanged. 

Reaction 1 results in a product which is a single compound. No ionic parts are exchanged. 

Reaction 3 results in one compound being separated into its elemental parts. No ionic parts are exchanged. 

Reaction 4 has two reactants, but Pb is an element and not an ionic compound. No ionic parts are exchanged. 

Hence, the answer is Reaction 2. Both NaBr and Ca(OH)2 are ionic compounds. Br - is the anion in NaBr, and (OH)2 is also an anion. Ionic parts are exchanged. 
3 0
3 years ago
The ratio 2.5m to 60cm can be written in the form 1:n find the value of n. someone please help asap
Svetach [21]

Answer:

24

Step-by-step explanation:

2.5 divided by 2.5 equals 1. So 60 divided by 2.5 equals 24.

5 0
3 years ago
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