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n200080 [17]
2 years ago
6

A student is asked to calculate the value of 212 − 132 using the identity x2 − y2 = (x − y)(x + y). The student's steps are show

n below. Step 1: 212 − 132 = (a − b)(a + b) Step 2: = (c)(d) Step 3: = (8)(30) + 8(4) Step 4: = 240 + 32 Step 5: = 272 What are the values of a, b, c, and d?
Mathematics
1 answer:
xenn [34]2 years ago
7 0
(c)*(d)=8*30+8*4=8*34,=>
c=8
d=34
a+b>a-b, =>a+b=d, a-b=c; =>
{a+b=34
{a-b=8, =>a=b+8 ;
(b+8)+b=34
2b=34-8
b=13
a=13+8=21

Answer: a=21; b=13; c=8; d=34.


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Which number is irrational?<br> -4<br> 2/9<br> 8.26<br> 11
kipiarov [429]

Answer:

None of them are irrational.

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction.

Therefore:

-4 can be written as -4/1

2/9 is already in fraction

8.26 can be written as 826/100

11 can be written as 11/1

None of them are irrational.

However numbers like  \sqrt{x}, \pi are irrational as they can not be represented as fractions.

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2 years ago
Ava worked 40 hours this week and made $520. How much did he earn each hour?
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He made $13.00 an hour. Hope this helps! :)
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3 years ago
There are 15 pieces of the same size candy in a bag. Four are banana flavored, three strawberry flavored, six cherry flavored, a
salantis [7]

Answer:

0.5

Step-by-step explanation:

There are 15 pieces of the same size candy in the bag. Two are orange flavored, six cherry flavored. So the probability of picking an orange or a cherry flavored candy is 6/15+2/15=8/15≈0.5

4 0
2 years ago
Which of the following pairs of numbers contain like fractions?
Naddika [18.5K]

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6/7 and 1 5/7

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standa
nignag [31]

For this problem, the confidence interval is the one we are looking for. Since the confidence level is not given, we assume that it is 95%.

 

The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n


Where:

<span>
</span>

α= 5%


α/2 = 2.5%


t 0.025, 19 = 2.093 (check t table)


n = 20


df = n – 1 = 20 – 1 = 19

So plugging in our values:


8.41 ± 2.093 * 0.77 √ 1 + 1/20


= 8.41 ± 2.093 * 0.77 (1.0247)


= 8.41 ± 2.093 * 0.789019


= 8.41 ± 1.65141676


<span>= 6.7586 < x < 10.0614</span>

3 0
2 years ago
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