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Nostrana [21]
3 years ago
12

Find the distance between (3, −7) and (4, 1). Write your answer using a radical sign.

Mathematics
2 answers:
mr_godi [17]3 years ago
6 0
<h2><u>Given Points</u></h2>

  • ( 3 , -7 ) x = 3 and y = -7
  • ( 4 , 1 ) x = 4 and y= 1

<h2><u>Using</u><u> Formula</u></h2>

\large\begin{gathered} {\underbrace{\boxed{ \bf {\red{Distance \:  =  \:  \sqrt{(x_2 \:  -  \: x_1) ^{2}  \:  +  \: (y_2 \:  -  \: y_1) ^{2} } }}}}}\end{gathered}

<h2><u>Substuting</u><u> the</u><u> values</u></h2>

<u>\bf \longrightarrow \: Distance \:  =  \:  \sqrt{ \bigg(4 \:  -  \: 3 \bigg) ^{2}  \:  +  \:  \bigg(1 \:  -  \: [ - 7 ]\bigg) ^{2} }</u>

<u>\bf \longrightarrow \: Distance \:  =  \:  \sqrt{ (1) ^{2}  \:  +  \:  (1 \:   +  \: 7 ) ^{2} }</u>

<u>\bf \longrightarrow \: Distance \:  =  \:  \sqrt{ 1  \:  +  \:  (8 ) ^{2} }</u>

<u>\bf \longrightarrow \: Distance \:  =  \:  \sqrt{ 65 }</u>

<u>\Large  \purple \diamond \:  \:    \underbrace {\rm {{{\color{blue}{Distance \:  =  \:  \sqrt{65} }}}}} \:  \:  \purple   \diamond</u>

AlladinOne [14]3 years ago
5 0

Answer:

sqrt(65)

Step-by-step explanation:

To find the distance between the two points

d = sqrt(  (x2-x1)^2+ (y2-y1)^2)

   = sqrt( (4-3)^2 +(1 - -7)^2)

    = sqrt( 1^2 + (1+7)^2)

    = sqrt( 1+8^2)

    = sqrt(1+64)

sqrt(65)

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Teddy will buy at least 15 bags of ice for the graduation picnic. Each large bag of ice costs $4.00, and each small bag of ice c
anastassius [24]

Answer:

Step-by-step explanation:

Let number of large bags be x

Let number of large bags be x

Teddy will buy at least 15 bags of ice for the graduation picnic.

Each large bag of ice costs $4.00, and each small bag of ice costs $2.50. He will spend up to $50 on ice. The set of inequalities that describe this scenario are

4x + 2.5y lesser than or equal 50

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The combination of bags of ice that Teddy can buy is

b) 6 large bags and 10 small bags

From the option b, the total number of large and small bags is greater than 15 and the total cost is 49( it doesn't exceed 50)

3 0
4 years ago
Factorize <br>m²-2mn+n²-9r​
san4es73 [151]

Answer:

(m-n)^{2}-9r

Step-by-step explanation:

m²-2mn+n²-9r​

(m-n)^{2}-9r

3 0
3 years ago
25 POINTS: In 1960, 21.5% of U.S. households did not have a telephone. This statistic decreased by 75.8% between 1960 and 1990.
dem82 [27]

Answer: 94.8 % (approx)

Step-by-step explanation:

Let the total household in the U.S is x,

⇒ The total household who did not have a telephone in 1960 = 21.5 % of x

= 0.215 x

According to the question,

The total household who do not have a telephone in 1990 = 75.8 % less than the household in 1960 who did not have the cell phone,

= (100-75.8)% of 0.215x

= 24.2 % of 0.215x

= 0.05203x,

⇒ The household in 1990 who had a telephone = x - 0.05203x = 0.94797x

Hence, the percentage of household who has a telephone in 1990

= \frac{0.94797x}{x}\times 100

= 94.797\%\approx 94.8\%

⇒ Around 94.8% household had telephone in the US in 1990.

7 0
4 years ago
Values for the labor force participation rate of women​ (LFPR) are published by the U.S. Bureau of Labor Statistics. A researche
Anna [14]

Answer:

(A) For this research we made use of the paired t test.

(B) For the t test, we conclude that in the null Hypothesis H₀, there was no difference between the average labor force participation rate for women between the years of 1968 and​ 1972 as against the alternate Hypothesis Hₐ.

From the output data we have, since the P value is 0.024 and  is lesser than the alpha value of 0.05, we will accept the alternate Hypothesis instead of the null Hypothesis.

Note:Kindly find an attached copy of the complete question below.

Step-by-step explanation:

Solution

Recall that:

The U.S of Bureau of Labor Statistics have published Values for the labor force participation rate of women​ (LFPR).

We are more interested in if there was a difference between female participation 1968 and​ 1972, a rapid change in women.

so we will check values for 19 randomly selected cities for 1968 and​ 1972,

Now,

(a) Which of this test is most appropriate for this data

The test which will be more suitable for these data will be paired to test t.

Because the data is for labor force participation for two different years, we apply the t test. now that we are making a comparison of two different year times, we will apply the t test in this research.

In this case, the sample size for both the years evaluated should be same, since we need to pair each and all the data.

(b)By using the test you selected, explain your conclusion

Now, to test the data paired t test, we have already the null Hypothesis  H₀: In this case there  is no difference between the average labor force participation rate for women between the years of 1968 and​ 1972 as compared with the alternate Hypothesis Hₐ: there was a significant difference between the average labor force participation rate for women between the years of 1968 and​ 1972.

However, from the output, we have that the P value is 0.024 which is lower than the alpha value of 0.05.

In conclusion, the alternate Hypothesis accepted while the null Hypothesis is rejected.

Note: kindly find an attached copy of the complete question to this solution

below.

4 0
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andre [41]

Answer:

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3. yes

4. yes

5. no-2.1

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