12 times since there are 12 inches in one foot.

**Answer:**

6y² - 20y + 6

**Step-by-step explanation:**

Use FOIL method

(3y - 1)(y-3) = 3y*y + 3y*(-3) + (-1)*y + (-1)*(-3)

= 3y²- 9y - y + 3 {add the like terms}

= 3y² - 10y + 3

2(3y - 1)(y - 3) = 2 ( 3y² - 10y + 3)

= 2*3y² - 2*10y + 2*3

= 6y² - 20y + 6

Hey there! :D

Think of this like a triangle. The dock is 15 feet above ground. It is the side of the triangle. The line connecting the bottom of the dock to the base of the conveyor belt is 40 feet. This is like the base.

The conveyor belt itself is at a diagonal, and should be the hypotenuse.

Use the Pythagorean theorem.

a^2+b^2=c^2

15^2+40^2= c^2

225+1,600= c^2

Add the values together.

1,825= c^2

Find the square root of 1,825.

c= 42.7 (rounded to the nearest tenth)

The conveyor belt is **42.7 **feet long.

I hope this helps!

~kaikers

**Answer:**

**a. 10x + 2y = 23**

**b. 4x - y + 3 = 0**

**c. y + 8 = 0**

**d. 2x - y + 4 = 0**

**Step-by-step explanation:**

**a.**

Slope of the line '**m**' is = = -5

**Equation of the line with slope m and passing through the point (x₁,y₁) is y-y₁ = m·(x-x₁)**

⇒y-1.5 = -5·(x-2)

⇒y = -5x + 10 + 1.5

⇒<u>**5x + y = 11.5**</u> (or) <u>**10x + 2y = 23**</u>

**b.**

Slope of the line '**m**' = 4

**Equation of the line with slope m and passing through the point (x₁,y₁) is y-y₁ = m·(x-x₁)**

⇒y-15 = 4·(x-3)

⇒y = 4x -12 + 15

⇒<u>**4x - y + 3 = 0**</u>

**c.**

Line is parallel to y = 1

**Equations of parallel lines only differ by constant.** So the required line equation has the form y = c where c is any real number.

But, it is given that the line passes through the point (3,-8)

⇒c=-8

⇒<u>**y = -8**</u> (or) <u>**y + 8 = 0**</u>

**d.**

**Equation of a line with slope 'm' and y-intercept of (0,c) is of the form y = mx + c **

⇒y = 2x + 4

⇒<u>**2x - y + 4 = 0**</u>

This process goes with:

5 + 0.8x = 36 ~ Subtract both sides by 5.

0.8x = 31 ~ Divide both sides by 0.8.

x = 38.3 ~ Roughly 38, considering that it doesn't round off to completely covering 36 miles then the answer would be it would take 39 weeks.

Answer: 39 Weeks.

I hope that helps, have a great rest of your day! ^ ^

~Ghostgate