LCM for 2 and 13 plz help me out
1 answer:
[ Answer ]
[ Explanation ]
- Find LCM For 2 & 13
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LCM - The smallest number that two or more numbers can evenly fit into
- LCM - What We Know
- 2 & 13 Must Evenly Fit
- Must Be Smallest Number They Both Fit Into
- Multiple Of Two Or More Numbers
The Smallest Number That Both 2 & 13 Evenly Fit Into Is 26
26 ÷ 2 = 13
26 ÷ 13 = 2
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1. Check picture 1.
2. By drawing 2 pairs of points,as shown in the picture, we can easily draw the lines y=2x-1 and y=2x+2
3. We notice that the lines are parallel. (we can notice this also from the slopes of the lines, that is the coefficients of x'es, both equal to 2, which means the lines are parallel)
4. Pick (1, 3), as shown in the picture to check which side of each line we will color. (any point can work.)
5. Check (1, 3) in inequality y_<2x+2:
3_<2*1+2=4 is actually true, so we color the part of the line containing (1, 3)
Check (1, 3) in the inequality y_>2x-1: 3_>2*1-1=1 which is true, so we color the part of the line containing the point:
6. So we color the part below the black line and the part above the blue line.
The solution is the part colored in both cases, which is the strip between the lines.
7. Answer: picture 2 is the graph of the system of inequalities
<span>y_>2x-1 and y_<2x+2</span>
2. By drawing 2 pairs of points,as shown in the picture, we can easily draw the lines y=2x-1 and y=2x+2
3. We notice that the lines are parallel. (we can notice this also from the slopes of the lines, that is the coefficients of x'es, both equal to 2, which means the lines are parallel)
4. Pick (1, 3), as shown in the picture to check which side of each line we will color. (any point can work.)
5. Check (1, 3) in inequality y_<2x+2:
3_<2*1+2=4 is actually true, so we color the part of the line containing (1, 3)
Check (1, 3) in the inequality y_>2x-1: 3_>2*1-1=1 which is true, so we color the part of the line containing the point:
6. So we color the part below the black line and the part above the blue line.
The solution is the part colored in both cases, which is the strip between the lines.
7. Answer: picture 2 is the graph of the system of inequalities
<span>y_>2x-1 and y_<2x+2</span>
Answer:
The sequence of transformations will map figure K onto figure K′
is the first sequence <u>option (1)</u>
======================================================
Step-by-step explanation:
See the attached figure
as shown in the figure the K' is the image of K by reflection over x-axis
<u>But </u> We need to know which sequence of transformations will give the same result.
So, we will test the options by any point from K and its image from K'
i.e: we will test the options using the points (6,5) , (6,-5)
(6,5) ⇒ (6,-5)
<u>option (1):</u>
Reflection across x = 4, 180° rotation about the origin, and a translation of (x + 8, y)
(6,5) ⇒ (2,5) ⇒(-2,-5) ⇒ (6,-5)
<u>option (2):</u>
Reflection across x = 4, 180° rotation about the origin, and a translation of (x − 8, y)
(6,5) ⇒ (2,5) ⇒(-2,-5) ⇒ (-10,-5)
<u>option (3):</u>
Reflection across y = 4, 180° rotation about the origin, and a translation of (x + 8, y)
(6,5) ⇒ (6,3) ⇒ (-6,-3) ⇒ (2,-3)
<u>option (4):</u>
Reflection across y = 4, 180° rotation about the origin, and a translation of (x − 8, y)
(6,5) ⇒ (6,3) ⇒ (-6,-3) ⇒ (-14,-3)
As shown: The sequence of transformations will map figure K onto figure K′
is the first sequence <u>option (1)</u>
