The different statements and reasons to prove that −3(x + 8) = −21 are as detailed below.
<h3>How to utilize properties of Algebra?</h3>
Statement 1; −3(x + 8) = −21
Reason 1; Given
Statement 2; −3(x + 8)/-3 = −21/-3
Reason 2; Division property of Equality
Statement 3; x + 8 - 8 = 7 - 8
Reason 3; Subtraction Property of Equality
Statement 4; x = -1
Reason 4; Given
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First find the numbers with the factors of:
2,3,4,5,6,7
find the minum
if something has a factor of 6 then it also has a factor of 3 and 2 so just multiply by the lcm of all of them which is found by
2=2
3=3
4=2 times 2
5=5
6=2 times 3
7=7
LCM=2 times 2 times 3 times 5 times 7=420
now divide 100000 by 420 and round down
100000/420=238.095=238.1 round doen 238
multiply 420 by 238 and get 99960
that is the answer 99960
Answer:
Well technically its inf due to the arrow, there are no points showing where to start from and where to end
the way you do it it you just count the amount of units it goes up, in this case for every square its going up 5 units, once you get that number you put that on top of your fraction, then you go over on the x axis till you hit your line (x axis is going by 10 every time). This would be your number on the bottom of the fraction.
Ill do what I can see here
40 1
---- Simplified to ----
80 2
Step-by-step explanation:
Obviously this isnt the answer but thats how you get it, hope this helps
Since you're only asked the ordered pair of D'', it's much easier just to plot and reflect point D twice than to do that for all four points!
Remember that reflecting points is like putting a mirror at the line of reflection or flipping that point over at that line. The reflected point should be the same distance from the line of reflection as the original point.
1) Reflect D over the x-axis to get D'.
D is at (4,1). Draw a line that is perpendicular to the line of reflection and goes through D. D is as far from the line of reflection as D' should be on its other side (both are on that perpendicular line). Since D is 1 unit above the x-axis, that means D' is 1 unit below at (4, -1). See picture 1.
2) Reflect D' over <span>y=x+1 to get D''.
D' is at (4, -1). Draw </span>y=x+1 and the line perpendicular to it going through D''. D'' is the same distance from the line of reflection on the other side. See picture 2. D'' is at (-2, 5).
Answer: D'' is at (-2, 5)