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Alex777 [14]
3 years ago
11

In a list of 7 consecutive integers, the sum of the first and last is 518. find the largest.

Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

262

Step-by-step explanation:

If x is the first integer, then x+1 is the second, x+2 is the third, and so on.  Meaning the 7th term in the list is x+6.

x + x + 6 = 518

2x = 512

x = 256

The first integer is 256, so the last integer is 262.

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6 0
3 years ago
A line passes through the points (2,4) and (5,6) .
Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points (x_1,y_1) and (x_2, y_2)

then the general form y -y_1=m(x-x_1) for linear equations where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

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then, by point slope intercept form;

y-4=\frac{2}{3}(x-2)

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}

then, by point slope intercept form;

y-6=\frac{2}{3}(x-5)

Yes, the only equation of line from the given options  which describes the given line are;

y-4=\frac{2}{3}(x-2)  and y-6=\frac{2}{3}(x-5)



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3 years ago
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Answer:

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3 0
2 years ago
Question 8 (1 point) Mrs. Hernandez is making a circular skirt for her daughter's Valentine banquet. She will glue a piece of se
lesya692 [45]

Answer: 113 inches

Step-by-step explanation:

To solve the question, we have to find the perimeter of a circle since the skirt is circular. This will be:

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where

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r = diameter/2 = 36/2 = 18

The closest measurement needed for the sequin trim will then be:

= 2πr

= 2 × 3.142 × 18

= 113.112

= 113 inches

4 0
2 years ago
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