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harkovskaia [24]
3 years ago
8

Factor 3x^2-20x-7.

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Hi,

Without discriminant:

3x^2-20x-7\\\\ =3(x^2-\dfrac{2*10}{3} )-7\\\\ =3(x^2-\dfrac{2*10}{3}+\dfrac{100}{9} )-\dfrac{100}{3}-7\\\\ =3(x-\dfrac{10}{3})^2-\dfrac{121}{3}\\\\ =\sqrt{3}[(x-\dfrac{10}{3})+\dfrac{11}{3}]*\sqrt{3}[(x-\dfrac{10}{3})-\dfrac{11}{3}]\\\\ =3(x+\frac{1}{3})(x-\dfrac{21}{3})\\\\ =(3x+1)(x-7)

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20 m<br> 12 m<br> 34 m <br><br> Find the surface area of this figure
Ad libitum [116K]

Surface area of the fig is 2350.9 sq m (approx).

Step-by-step explanation:

Given,

Diameter = 34 m

so, radius (r) = 17 m

Height of the cylinder (h) = 12 m

Slant height of the cone (l) = 20 m

To find the surface area of the fig

Surface area of the  fig = surface area of cylinder + surface area of cone

Formula

Surface area of cylinder = 2πrh

Surface area of cone = πrl

So,

Surface area of cylinder = 2π×17×12 sq m = 408π sq m

Surface area of cone = π×17×20 = 340π sq m

Surface area of the  fig = 408π+340π sq m = 748π sq m

= 2350.9 sq m (approx)

8 0
4 years ago
Given that<br> x : 20 = 5 : x<br> Calculate the positive value of x.
AleksandrR [38]
673 jhsjsgsgysiusgdvzvdhgdcxvvd
3 0
3 years ago
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Somebody help me please because this makes no sense .​
alexandr1967 [171]
BCA hope this helps
6 0
3 years ago
I need help with this question
Lina20 [59]
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3 years ago
Is it a b c or d need help please!
Gekata [30.6K]

Answer:

it's a

Step-by-step explanation:

we subtract 9 from the 30 in the other side. that makes 21

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3 years ago
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