Answer:
y = -2
Step-by-step explanation:
<u>SOLUTION :-</u>
Solve the equation.
- Add 8 to both sides in order to isolate the equation.


∴ y = -2
<u>VERIFICATION :-</u>
To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.
L.H.S :-
-2 - 8 = <u>-10</u>
R.H.S. :-
<u>-10</u> (already given)
⇒L.H.S. = R.H.S. (verified)
3x-4= - 10
add both side 4 so its a addition property
3x=- 6
now divide both side 3 so it is a <span>division property.
so x=-2</span>
we know that
The formula to calculate the slope between two points is equal to

<u>Part a) Find the slope of line PQ</u>

substitute in the formula


Any line parallel to X-axis has slope equal to zero
so
the line PQ is parallel to the x-axis
therefore
<u>the answer Part a) is </u>

<u>Part b) Find the slope of line MN</u>

substitute in the formula


Anything divided by zero is undefined
m=undefined
therefore
<u>the answer Part b) is </u>
undefined
<u>Part c) How are the two lines related ? </u>
we know that
Any line perpendicular to X-axis has slope undefined
Because the term
will always be zero
so
<u>the answer Part c) is</u>
the lines are perpendicular
Ms. Patterson will take t>2.5 hours to burn 590 calories riding her bike at the same rate which is 236 calories every hour.
<h3 /><h3>What amount of time Ms. Patterson will take to burn more then 590 ?</h3>
Given that -
she burns 236 calories in 1 hour get =
hours
so time taken to burn 590 calories at same rate =
hours
so time taken to burn 590 calories at same rate = 2.5 hours
hence Ms. Patterson will take t>2.5 hours to burn 590 calories riding her bike at the same rate which is 236 calories every hour.
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