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gregori [183]
3 years ago
8

Pq has a length of 17 units with p(-4,7). If the x and y coordinates of q are both greater than the x and y coordinates of p wha

t are possible integer value coordinates of q

Mathematics
1 answer:
prisoha [69]3 years ago
7 0

Answer:

Step-by-step explanation:

1²+16²=1+256=257≠289(17²)

2²+16²=4+256=260≠17²

3²+16²=9+256=265≠17²

4²+16²=16+256=272≠17²

5²+16²=25+256=281≠17²

6²+16²=36+256=292>17²

6²+15²=36+225=261≠17²

7²+15²=49+225=274≠17²

8²+15²=64+225=289=17²

9²+14²=81+196=277≠17²

10²+14^2=100+196>289

10²+13²=100+169=269≠17²

11²+13³=121+169=290>17²

11²+12²=121+144=265≠17²

12²+12²=144+144=288≠17²

so only integer values are 8²+15²=17²

(x+4)²+(y-7)²=17²

if x+4=8

x=8-4=4

y-7=15

y=15+7=22

so q is (4,22)

if x+4=15

x=15-4=11

y-7=8

y=8+7=15

point is (11,15)

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bonufazy [111]

Answer:

No association .

Step-by-step explanation:

Given : A scatter plot is made with the data shown below: Number of Waiters at a Restaurant 5 6 7 8 9 10 11 12 13 Customer Service Rating 4 2 10 7 1 2 8 9 5

To find : What type of association will the scatter plot for these data represent between the number of waiters at a restaurant and its customer service rating.

Solution : We have given :

Number of Waiters at a Restaurant =  5 6 7 8 9 10 11 12 13

Customer Service Rating  = 4 2 10 7 1 2 8 9 5 .

Here x coordinates are 5 6 7 8 9 10 11 12 13

y coordinates  are 4 2 10 7 1 2 8 9 5 .

(5,4) (6,2) (7,10 )(8,7) (9,1)(10,2)(11, 8) (12, 9) (13, 5)

We can see there is no pattern between x and y coordinates .

Therefore, No association .

6 0
4 years ago
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What is the surface area of this triangle prism rounded to the nearest tenth ?
Likurg_2 [28]

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94.37 m squared or 94.4 m squared. Rounded

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
tim has 74 socks, that are white or black. he has 1 more pair of white socks than black socks. how many individual socks of each
MAXImum [283]

Tim owns 74 socks, the colours of which are unknown.

He does, however, have an additional pair that is white rather than black.

Therefore, it suggests that we are working with the two hues white and black.

The result of dividing the total number of socks by two is:

= 74/2

= 37 socks, two pairs each for black and white.

But let's not forget that Tim has a pair of white socks in addition to his black pair.

The total number of white socks is equal to= 37+1= 38 socks.

Total black sock pairs= 37-1=36 socks.

Last but not least, the question asks us to count the number of single socks rather than pairs.

For white then:

There will be = (38x 2) socks per pair.

= 76 socks

For Black

The individual socks will be = (36 × 2)socks

= 72 socks

We can then deduce that there are 76 individual socks for white and 72 individual socks for black.

<h3>How many pairs of socks must you take to find a matching pair?</h3>

The solution would have to be four. Despite the large number of socks in the drawer, there are only three different colours, so if you take four socks, you will undoubtedly find at least one pair that matches.

To learn more about pair of socks visit:

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4 0
1 year ago
Find the slope of the line shown below
WITCHER [35]

Answer:

\frac{3}{2}

Step-by-step explanation:

From the attached photo, we can deduce:

(2,2) as (x1,y1)

(-2,-4) as (x2,y2)

Slope Formula =

\frac{y1 - y2}{x1 - x2}

Now we can substitute these values into the formula to find the slope.

Slope of line =

\frac{2 - ( - 4)}{2 - ( - 2)}  \\  =  \frac{2 + 4}{2 + 2}  \\  =  \frac{6}{4}  \\  =  \frac{3}{2} (reduced \: to \: simplest \: form)

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2 years ago
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irakobra [83]

Answer:

1x^{2}

Hope that helps!

Step-by-step explanation:

5 0
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