Answer:
y = 6x + 9
Step-by-step explanation:
The equation of a line in slope- interceot form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x + 12y = - 1 into this form
Subtract 2x from both sides
12y = - 2x - 1 ( divide all terms by 12 )
y = - 
x - 
← in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= 6
Note the line passes through (0, 9) on the y- axis ⇒ c = 9
y = 6x + 9 ← equation of perpendicular line
Answer:
300÷10=30
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
Perimeter = 84 feet
Side One = Side Two + 12 feet
Side Two + 17 = Side Three
Side Two + Side Two = Side Four
Perimeter = (Side Two + 12) + (Side Two) + (Side Two + 17) + (Side Two + Side Two) = 5 x (Side Two) + 29 = 84
5x + 29 = 84
5x = 55
x = 11
Side Two = 11 feet
Side One = 11 + 12 = 23 feet
Side Three = 11 + 17 = 28 feet
Side Four = 11 X 2 = 22 feet
The volume of railway car is 216 cubic meters
<em><u>Solution:</u></em>
Given that, Railway car is shaped like a rectangular prism with a length of 18 meters, a width of 3 meters and a height of 4 meters
To find: volume of railway car
<em><u>The volume of rectangular prism is given as:</u></em>
Where,
"l" is the length and "w" is the width and "h" is the height of prism
From given question,
length = 18 meters
width = 3 meters
height = 4 meters
Substituting the values, we get
Thus volume of railway car is 216 cubic meters
OK. Here we go:
What is the square root of 9 ?
You would say that 3 is, and you're correct.
But that's NOT the <em>only one</em> there is !
What about -3 ?
What do you get when you multiply (-3) times (-3) ?
(Remember that when the signs of both numbers are <em>the same</em>,
the answer is positive.)
(-3) times (-3) = 9
So -3 is <em>also</em> the square root of 9 .
That's right . . . every number has <em>two</em> square roots. They're both the
same number, but one is positive, and one is negative. When you
multiply <em>either one</em> of them by itself, you get the original number.
Another way to say the same thing is:
Every number has one positive square root and one negative square root,
and except for the signs, they're both the same number.
