Answer:
Step-by-step explanation:
In order to make d the subject of the formula, you need to isolate it.
- You started with d-7 = 4d + 3/e
- Move 4d to the left side by subtracting 4d from both sides to cancel it from the right so you have...
d - 7 = 4d + 3/e This will leave you left with -3d - 7 = 3/e
-4d -4d
- Then move over the -7 by adding 7 to both sides...
-3d - 7 = 3/e This will leave you left with -3d = 3/e + 7
+7 +7
- Finally to get d by itself divide both sides of the equation by -3 and you'll be left with...
- You can cancel out the 3 in the -3/3e and make it -1/e so your final answer will be
(a) Answer: One solution.
Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."
(b) Answer: Infinitely many solutions.
Explanation:
2x + 3y = 5.5
4x + 6y = 11 | divide by 2
-->
2x + 3y = 5.5
2x + 3y = 5.5
--> equations are identical.
2x + 3y = 2x + 3y
so any (x,y) will satisfy this equation. This means infinitely many solutions.
(c) Answer: One solution
Explanation:
Continuing the two lines it becomes obvious they will cross at one point (the solution)
(d) Answer: No solution
Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.
the sum of the angles in an ngon (a polygon with n sides) is (n-2)*180
so an octagon has 8 sides and has a sum total of (8-2)*180=1080 degrees
if each of 7 angles is 132, then 1080=?+7*132
1080=?+924
156=?
the 8th angle is 156 degrees
Hey there! :)
When teachers ask you for the standard form in math, they are asking you to find the simplest form an equation with variables can be in.
Ax + By = C
Example : put y=2x -3 into standard form.
Subtract 2x from both sides.
-2x + y = -3 —> standard form.
Hope this helped! :)
