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riadik2000 [5.3K]
2 years ago
6

Complete the following: (r-s)^2 = (___)^2 -(___)rs + s^2

Mathematics
1 answer:
kondaur [170]2 years ago
8 0

Answer:

First blank has the value r.

Second blank has the value 2

Step-by-step explanation:

The given equation on the left side is ( r- s)^{2}

Now,<u> ALGEBRAIC IDENTITY </u>states that

( a- b)^{2} = a^{2}  + b^{2} -  2 \times a \times b

Here, comparing a = r and b = s, we get

( r- s)^{2} = r^{2}  + s^{2} -  2 \times r \times s

So, the first blank has the value r.

Second blank has the value 2

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Half of sarans wire is equal to 2/5 of daniel's. chris has 3 times as much as sarah. in all, their wire is 6 feet. how long is s
Pepsi [2]
You need to make a series of equations from what you are given first. I am going to use the first letter of each of the names to represent the length of that persons wire.
1/2s=2/5d
3c=s
s+d+c=6 ft

Okay. Now you can combine the first two equations knowing what s equals:
1/2(3c)=2/5d
d=15c/4

Now you have d=15c/4 and s=3c, so you can replace d and s in the third equation.

3c+15c/4+c=6

Then solve for c and plug it into the equation 3c=s to find the length of sarah's wire.
7 0
2 years ago
Find the value of each variables in the parallelogram
Ksju [112]

Answer:

C = 6

D = 10

Step-by-step explanation:

C + 5 = 11

C + 5 -5 = 11 -5

C = 6

D + 4 = 14

D + 4 -4 = 14 -4

D = 10

4 0
3 years ago
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final c
Black_prince [1.1K]

Answer:

<em>The test statistic value Z = 4.64 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<em>Test the claim that the proportion of all children in the town who suffer not from asthma is 11%</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given sample size 'n' = 167

Given data In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma.

<em>Sample proportion </em>

                    p^{-}  = \frac{x}{n} = \frac{37}{167} = 0.2215

<em>Given Population proportion 'P'</em> = 11% = 0.11

<u><em>Step(ii) </em></u>:-

<em>Null Hypothesis : H₀ : p = 11</em>

<em>Alternative Hypothesis H₁: p≠11</em>

<u><em>Test statistic</em></u>

               Z = \frac{p^{-} -P }{\sqrt{\frac{P Q}{n} } }

              Z = \frac{0.2215 -0.11 }{\sqrt{\frac{0.11 X 0.89}{167} } }

             Z =   4.64

<u><em>step(iii)</em></u>

<em> Critical value Z = 1.96 </em>

<em>The calculated value Z = 4.64 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<u><em>Conclusion:-</em></u>

<em>Test the claim that the proportion of all children in the town who suffer not from asthma is 11%</em>

4 0
3 years ago
The distance from House B to House D is 50 feet. The distance from House A to House C is 40 feet. What is the area of the
Naya [18.7K]

Answer:

200

Step-by-step explanation:

40*50=200

7 0
3 years ago
If c (x) = StartFraction 5 Over x minus 2 EndFraction and d(x) = x + 3, what is the domain of (cd)(x)?
Volgvan

Answer:

The domain of the function (cd)(x) will be all real values of x except x = 2.

Step-by-step explanation:

The two functions are c(x) = \frac{5}{x - 2} and d(x) = x + 3

So, (cd)(x) = (\frac{5}{x - 2})(x + 3) = \frac{5(x + 3)}{x - 2}

Then, for x = 2 the function (cd)(x) will be undefined as zero in the denominator will make the function (cd)(x) undefined.

Therefore, the domain of the function (cd)(x) will be all real values of x except x = 2. (Answer)

8 0
3 years ago
Read 2 more answers
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