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My name is Ann [436]
3 years ago
6

Find the midpoint M of the line segment joining the points P = (-4, 6) and Q = (8, -4).​

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

M=(2,1)

Step-by-step explanation:

The mid points is half the distance of the x and y values so

-4 and 8 are 12 apart so 12/2=6 so -4+6=2

so the x value of M is 2

same for the y value 6 and -4 are 10 apart 10/2=5 and 6-5=1 so

so the y value of M is 1 so

M=(2,1)

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Answer:

Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds

Step-by-step explanation:

Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.

From the question, we know he wants to make 20 pounds of coffee

Thus;

x + y = 20 •••••••••••(i)

Let’s now work with the values

For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x

For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y

The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6

Thus by adding the two costs together we have a total of $139.6

So we have our second equation;

9.2x + 5.5y = 139.6 •••••••(ii)

From i, y = 20 - x

Let’s substitute this in ii

9.2x + 5.5(20-x) = 139.6

9.2x + 110 -5.5x = 139.6

9.2x -5.5x = 139.6-110

3.7x = 29.6

x = 29.6/3.7

x = 8 pounds

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y = 20 - x

y = 20-8

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What is the 13th term of this arithmetic sequence?<br><br> 132, 135, 138, 141, …
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The rule for this sequence is n + 3. 132 --> 135 is +3, 135 --> 138 is +3, and 138 --> 141 is +3. Let's use this rule until we find the 13th term. 132 (1) 135(2) 138(3) 141(4) 144(5) 147(6) 150(7) 153(8) 156(9) 159(10) 162(11) 165(12) 168(13) 168 is the 13th term in this sequence. I hope this helps!
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