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irinina [24]
3 years ago
14

How do I factor the quadratic equation

Mathematics
1 answer:
anastassius [24]3 years ago
4 0
Factor the following:
10 y^2 - 35 y + 30
Factor 5 out of 10 y^2 - 35 y + 30:
5 (2 y^2 - 7 y + 6)
Factor the quadratic 2 y^2 - 7 y + 6. 
The coefficient of y^2 is 2 and the constant term is 6. 
The product of 2 and 6 is 12. 
The factors of 12 which sum to -7 are -3 and -4. So 2 y^2 - 7 y + 6 = 2 y^2 - 4 y - 3 y + 6 = y (2 y - 3) - 2 (2 y - 3):
5 y (2 y - 3) - 2 (2 y - 3)
Factor 2 y - 3 from y (2 y - 3) - 2 (2 y - 3):
Answer:  5 (2 y - 3) (y - 2)
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Find the perimeter of a triangle with vertices A(3, 1), B(2, -1), and C(-3, 2). Leave
natulia [17]

The perimeter of triangle is: 14.15 units

Step-by-step explanation:

First of all we have to find the lengths of sides of triangles

Given

A(3, 1), B(2, -1), and C(-3, 2)

The distance formula will be used to find the lengths of sides

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\

So,

AB = \sqrt{(2-3)^2+(-1-1)^2}\\=\sqrt{(-1)^2+(2)^2}\\=\sqrt{1+4}\\=\sqrt{5}\\=2.24\ unitsBC = \sqrt{(-3-2)^2+(2+1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\= 5.83\ units\\AC = \sqrt{(-3-3)^2+(2-1)^2}\\=\sqrt{(-6)^2+(1)^2}\\=\sqrt{36+1}\\=\sqrt{37}\\=6.08\ units

The perimeter of triangle will be:

P = AB+BC+AC\\= 2.24+5.83+6.08\\=14.15\ units

Hence,

The perimeter of triangle is: 14.15 units

Keywords: Triangle Perimeter

Learn more about perimeter at:

  • brainly.com/question/573729
  • brainly.com/question/572693

#LearnwithBrainly

7 0
3 years ago
Please help! 20 points! Calculate the average rate of change for the given function, from x = 1 to x = 4.
zvonat [6]

Answer:

4) 2

Step-by-step explanation:

(4-0) / (1-(-1)) = 4/2 = 2

(10-4) / (4-1) = 6/3 = 2

4 0
3 years ago
What number does these numbers share -21,22,65?
finlep [7]

Answer:

uh cuz

Step-by-step explanation:

8 0
3 years ago
To stay properly hydrated a person should drink 32 fluid ounces of water every 60 minutes of exercise how much water should Damr
pychu [463]
Write and solve an equation of ratios, as follows:

32 fl oz              60 min
-----------     =     ------------
      x                  135 min

Then 60x = (32)(135) = 4320, and x = 72 oz.

damron should drink 72 fl. oz. of water if he rides 135 min.
4 0
3 years ago
Choose the correct way to write a comparison of seven-twelfths and ten-twelfths.
ra1l [238]

Answer:

ok so lets work this out

Step-by-step : 10/12 is closer to 12 than 7/12  soooo its not any of the ones that have these (:) and 10 is bigger than 7 so its

7/12 < 10/12

3 0
2 years ago
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