Help me please?!?!
2 answers:
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Answer:
1) y=⅚x -2⅓
2) y=8/3x -5
Step-by-step explanation:
<u>Point-slope form:</u>
y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line=
Thus, m=⅚
Susbt. m=⅚ into the equation,
y= ⅚x +c
Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.
When x=4, y=1,
1= ⅚(4) +c
Thus the equation of the line is .
The gradients of perpendicular lines= -1.
Gradient of given line= -⅜
-⅜(gradient of line)= -1
gradient of line
= -1 ÷ (-⅜)
= -1 ×(-8/3)
=
When x=3, y=3,
Thus the equation of the line is .
We need to estimate how tall is, on average, one of these object, and then count how many would be in a 5 feet high stack.
For example, on Google you may see that "1.5 cubic foot boxes are the standard box, manufactured by most companies". So, we assume that a standard cardboard box is 1.5 feet tall.
So, if we set the equation
So, there would be between 3 and 4 cardboard boxes in a 5 feet tall stack.
Similarly, we can see that the average book is 9 inches tall. 9 inches are 0.75
feet, so we have
So, there would be between 6 and 7 books in a 5 feet tall stack.
The average brick is 75 millimeters tall, which means 0.25 feet tall. Again, we have
So, there would be 20 bricks in a 5 feet tall stack.
Finally, a coin is about 0.006 feet, which leads to
So, there would be between 833 and 834 coins in a 5 feet tall stack.