Subtract 3/y-2 - 1/y+3

Answers

Answer 1

Answer: to subtract fractions, we need a common denominator.

$(3)/(y-2)$ - $(1)/(y+3)$

the common denominator will be (y-2)(y+3)

$(3(y+3)-1(y-2))/((y-2)(y+3))$
$(3y + 9 - y + 2)/((y-2)(y+3))$
$(2y + 11)/((y-2)(y+3))$

The answer above will be the simplified form.

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4. Find the distance between the two points. Round to the nearest tenth if necessary.(-2, -1) and (3, 5).

Answers

Answer:

Distance = 7.8 units

Step-by-step explanation:

In coordinate geometry, the distance between the 2 points is given by

$Distance = \sqrt{(x1-x2)^(2) + (y1-y2)^(2) }$

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

x1 = -2 , y1 = -1 , x2 = 3, y2 = 5

$Distance = \sqrt{((-2)-(3))^(2) + ((-1)-(5))^(2) }$

$Distance = √(61)$

Distance = 7.8102 units

To the nearest tenth, Distance = 7.8 units

There are 5/6 as many black pants as blue pants in george's closet. There are 5/9 as many black pants as brown pants in his closet. What is the ratio of the number black pants to the total number of pants in his closet?

Answers

Answer is the ratio 1 : 4

Work Shown

x = number of black pants

y = number of blue pants

z = number of brown pants

x = (5/6)y

x = (5/9)z

z = (9/5)x

x+y+z = total number of pants

x+y+z = (5/6)y + y + (9/5)x

x+y+z = (5/6)y+y+(9/5)*(5/6)y

x+y+z = (5/6)y+y+(3/2)y

x+y+z = (5/6)y+(6/6)y+(9/6)y

x+y+z = ( (5+6+9)/6 )y

x+y+z = (20/6)y

x+y+z = (10/3)y

numberOfBlackPants : Total

(5/6)y : (10/3)y

6*(5/6)y : 6*(10/3)y

5y : 20y

5 : 20

1 : 4

The ratio of the number of black pants to the total number is 1 : 4

It means the total is 4 times that of the number of black pants.

What is the slope of the line represented by the equation 4x+3y=12

Answers

To do this we need to rewrite the equation in terms of y
4y=12-3x
y=3-3x/4
Therefore the gradient is -3/4

What is the volume of a rectangular prism with a length of 812 cm, width of 913 cm and a height of 1225 cm?

Answers

812*913*1225 = 908161100cm^3
or 8.12*9.13*12.25 = 908.1611 m^3

Volume is Length X width X height. They already give you the values, so you'd multiply 812 by 913 and 1225, which would give you;

908161100

for a given right triangle , side a =490 feet and side b =960 feet what is the measure of angle B to the nearest degree ?

Answers

Hello,
2 possibilities:

1)
b is the hypotenuse and than B=90°

2)
or tan B=960/490=1.9591...
==>B=62.9594...°≈63°

How many 5-card hands can be dealt from a standard deck of 52 cards

Answers

its 10.4if u need proof just ask :)

4. 5 cards can be delt in a stack of 52 cards

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