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olga55 [171]
2 years ago
7

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the

n m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b? −6 −5 5 6
Mathematics
2 answers:
NeX [460]2 years ago
5 0

Answer:

m = -1/6.

b = 5.

Step-by-step explanation:

Slope m =  (3 - 6) / (12 - -6)

=  -3 / 18

= -1/6.

y = -1/6 x + b

when x = 12 y = 3 so

3 = -1/6 * 12 + b

b =  3 + 2 = 5.

Aloiza [94]2 years ago
3 0

Answer: 5

Step-by-step explanation:

We can find our intercept b from the equation of the straight line:

y - y₁ = m (x-x₁ )

point A(-6, 6)

x₁ = -6 and y₁ =6

m= -1/6 (as stated in the question)

Inputing this values in our equation, we have;

y - 6 = -1/6 ( x - -6)

y - 6 = -1/6(x+6)

y - 6 = -1/6x -1

y = -1/6x - 1 + 6

y= -1/6x + 5

comparing y= mx+b with the equation above; b=5

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Eileen makes her own granola using 1 3/4 cups of oats and 2/3 cup of puffed rice. How many cups of granola does she have?
barxatty [35]

Answer:

2 5/12 cups

Step-by-step explanation:

<u>First, turn 1 3/4  into improper fraction:</u>

1 3/4 = 7/4

<u>Next, Find LCG (least common multiple) of 3 and 4</u>

Multiples of 4: 4, 8, 12, 16, 20, 24

Multiples of 3: 3, 6, 9 , 12, 15, 18

<u>Multiply 7/4 by 3 and 2/3 by 4</u>

7/4 x 3 = 21/12

2/3 x 3 = 8/12

<u>Add both fractions</u>

21/12 + 8/12 = 29/12

<u>Reduce 29/12</u>

29/12 = 2 5/12

So Eileen has 2 5/12 cups of granola

Hope this helps ;)

4 0
2 years ago
One link in a chain was made from a cylinder that has a radius of 2 cm and a height of 20 cm. How much plastic coating would be
Gelneren [198K]

Answer:

A. 251.2cm2

Step-by-step explanation:

Given radius of the cylinder 'r' = 2 cm

Given Height of the cylinder 'h' = 20 cm

Area of the curved surface =  2 π r h

The plastic coating would be needed to coat the surface of the chain link

                 A =  2 π r h

                A =  2 × 3.14 ×2×20

               A   = 251.2 cm²

Conclusion:-

The  plastic coating would be needed to coat the surface of the chain link

                     = 251.2 cm²

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