2 years ago

Factor the expression

Mathematics

1 answer:

IgorC [24]2 years ago

3 0

Answer:

(3y + a) (b - y)

Step-by-step explanation:

3by - 3y^2 + ab - ay

3y (b - y) + a (b - y)

(3y + a) (b - y)

hope this helps! <3

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On a farm the number of cows and the number of sheep are in the tatio 6:5 the number of sheep and the number of pigs are in the

Rzqust [24]

Answer:

There are 70 sheep in the farm.

Step-by-step explanation:

Consider the provided information.

Let c represents the cows, s represents the sheep and p represents the pigs.

The number of cows and the number of sheep are in the ratio 6:5.

$\dfrac{c}{s} =\dfrac{6}{5}$

$c =\dfrac{6s}{5}$

The number of sheep and the number of pigs are in the ratio 2:1.

$\dfrac{s}{p} =\dfrac{2}{1}$

$p =\dfrac{s}{2}$

The total number is 189.

$c+s+p=189$

Substitute the value of c and p in above.

$\dfrac{6s}{5}+s+\dfrac{s}{2}=189$

$\dfrac{12s+10s+5s}{10}=189$

$27s=1890$

$s=70$

Hence, there are 70 sheep in the farm.

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3 years ago

Evaluate (b+c) if a=2,b=-5 and c= -3

anastassius [24]

The answer would be -8

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3 years ago

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olga55 [171]

Step-by-step explanation:

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3 years ago

The diameter of a circle is 7 cm. Find the circumference to the nearest tenth

Anton [14]

Answer:38.5 cm

Step-by-step explanation:To find the radius divide 7 by 2 which is 3.52. Then multiply 3.5 by itself which is 12.253.

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2 years ago

If sin theta =1/4, theta in quadrant II, find the exact value of cos[theta +pi/6]

Mashcka [7]

Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)

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3 years ago