<h3>
Answer: (-1,3)</h3>
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Explanation:
Point M is currently located at (-3, -5). Note the y coordinate is y = -5. The vertical distance from this y coordinate to y = -1 is 4 units. If we move another 4 units up from y = -1, we end up at y = 3.
What does this mean? It means that reflecting point M over the line y = -1 has it end up on (-3, 3), which I'll call point N. See the diagram below.
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Next we reflect over the line x = -2. The horizontal distance from x = -3 to x = -2 is one unit. So we move another unit to the right to end up at x = -1.
Therefore, reflecting (-3,3) over the line x = -2 will have the point land on (-1, 3)
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When we reflect over the line y = -1 first and then the line x = -2 second, we will have the point (-3, -5) move to (-3,3) and then to (-1,3) in that order.
Check out the diagram below.
Answer:
i. 5(x + 0.2x) yards
ii. 6x yards
Step-by-step explanation:
Since the requested quilts are 20% larger than the normal pattern, then;
20% of x = 0.2 x
Thus,the yards of material to make each of the requested quilts increased by 0.2x yards.
So that;
To make one of the requested quilt, the yards required = x + 0.2x
For 5 requested quilts, the total yards required = 5(x + 0.2x)
Total yards of material for the requested quilts is 5(x + 0.2x).
Also,
5(x + 0.2x) = 5x + 5(0.2x)
= 5x + x
= 6x
Thus, the total yards required is 5(x + 0.2x) or 6x.
1.
Let N be the number of coins of Alex
2a+1=N
3b+1=N
4c+1=N
5d+1=N
6e+1=N
7f+1=N
so N-1 is a multiple of 2, of 3, of 4, of 5, of 6 and of 7
so N-1 has factors 7*6*5*2*X, where X is another factor.
2.
There is no need to write N-1 as 7*6*5*3*2*4, since being a multiple of 6, means being a multiple of 2, and of 3 as well. Also, no need to write *4, since 6 has already *2, but we need one more 2, that why we write 7*6*5*2*X
(7*6*5*2=420 is the LCM, least common multiple of 2,3,4,5,6,7)
3.
N-1=420*X.
X cannot be 2 or more since N would become larger that 800.
X must be 1, so N-1=420, which means N=421 is the number of coins
You can use side-angle-side postulate