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Klio2033 [76]
3 years ago
7

What is the sum and product of x^2+12x+32=0? pls help me

Mathematics
2 answers:
miss Akunina [59]3 years ago
8 0

Answer:

Sum= -12

Product=32

Step-by-step explanation:

x^2+12x+32=0

By factorization, we get

x^2+4x+8x+32=0\\x(x+4)+8(x+4)=0\\(x+4)(x+8)=0\\

Therefore, the roots of the equation are = -4,-8

<u>Sum of the roots</u> =\alpha+\beta =\frac{-b}{a}

\alpha +\beta=-8-4=-12

<u>Product of the roots=</u>\alpha \beta =\frac{c}{a}<u></u>

\alpha \beta =8*4=32

Rzqust [24]3 years ago
5 0
<h2>Hope it helps uh !........</h2>

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Volume of prisms and cylinders
Mumz [18]

Answer:

7)V=16257.74

8)V= 226.19

9)V=12.56

10)V=6283.18

11)r=6.631

12)h=69.05

13)V=35328.78

Step-by-step explanation:

Volume of cylinder is given by formula:

V=πr^2h

where r is radius and h is height of cylinder

7)

r=15

h=23

Putting values in formula:

V= π(15)^2(23)

 =5175π

  =16257.74

8)

diameter=6

r=d/2=3

height =?

Finding height by pythagoras theorem:

h^2= 10^2-6^2

     =100-36

     =64

h=8

Putting values in formula:

V=π(3)^2(8)

  = 72π

   = 226.19

9)

r= 2

h=1

Putting values in formula:

V=π(2)^2(1)

  =4π

  = 12.56

10)

diameter =20

r=d/2=10

h=20

Putting values in formula:

V=π(10)^2(20)

  =2000π

  =6283.18

Now finding the missing measures:

11)

Given V=210π

h = 15

r=?

Putting values in formula:

210π=π(r)^2(15)

r^2= 210π/15

    =14π

r= 6.631

12)

V=197.82

r=3

h=?

Putting values in formula:

197.82=π(3)^2(h)

h= 197.82/9π

 = 69.05

13)

r=21

h=25.5

Putting values in formula:

V= π(21)^2(25.5)

 =11245.5π

  =35328.78 !

8 0
4 years ago
Kylie went into a grocery store and bought 3 apples and 4 bananas, costing a total of $6.50. Lily went into the same grocery sto
Katyanochek1 [597]

The system of equations that could be used to determine the price of each apple and the price of each banana is:

3x + 4y = 6.50

10x + 5y = 17.50

Where x is the price of each apple and y is the price of each banana

Step-by-step explanation:

The given is:

  • Kylie went into a grocery store and bought 3 apples and 4 bananas, costing a total of $6.50
  • Lily went into the same grocery store and bought 10 apples and 5 bananas, costing a total of $17.50

We need to write a system of equations that could be used to determine the price of each apple and the price of each banana

Assume that x represents the price per apple, and y represents the price per banana

∵ The price of each apple is $x

∵ The price of each banana is $y

∵ Kylie bought 3 apples and 4 bananas for a total $6.50

- Multiply x by 3 and y by 4, then add the products and equate

  the sum by 6.50

∴ 3x + 4y = 6.50 ⇒ (1)

∵ Lily bought 10 apples and 5 bananas for a total $17.50

- Multiply x by 10 and y by 5, then add the products and equate

  the sum by 17.50

∴ 10x + 5y = 17.50 ⇒ (2)

The system of equations that could be used to determine the price of each apple and the price of each banana is:

3x + 4y = 6.50

10x + 5y = 17.50

Where x is the price of each apple and y is the price of each banana

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

3 0
4 years ago
What is the LCD of 4 and 5?<br><br> 13<br> 21<br> 42<br> 36
Elis [28]
It’s 20
i’m not sure if you meant to put 20 or 21 but the answer is 20
8 0
3 years ago
Read 2 more answers
What is the equation of the following line?
quester [9]

Answer:

last one

y = \frac{1}{5}x

Step-by-step explanation:

slope = \frac{3-0}{15-0} = \frac{3}{15} = \frac{1}{5}

y- intercept is 0

5 0
3 years ago
Read 2 more answers
Help meeeeee pleaseeee
NeTakaya

Answer:

WhAT!?!?!?!?!

Step-by-step explanation:

WHAT that aint even right man the answers are not the same as da numberline like WhAT?!?!?!?!!!

4 0
3 years ago
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