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3 years ago

Consider the perfect square trinomial identity:a^2+2ab+b^2=(a+b)^2

Mathematics

1 answer:

vlada-n [284]3 years ago

8 0

Answer:

Step-by-step explanation:

x² + 10x + 25

a² +2ab + b² = (a + b)²

b² = 25

b = √25

b = 5

2ab = 2*x*5 = 10x

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3 years ago

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Ymorist [56]

Answer:

First Question

lower limit of 9 mph $j = 8.5 \ mph$

upper limit of 9 mph $q = 9.5 \ mph$

Second Question

lower limit of 120 pounds is $i = 119.9 \ pounds$

upper limit of 120 pounds is $l = 120.1 \ pounds$

Third Question

lower limit of 187 pounds is $a = 186.75 \ pounds$

upper limit of 187 pounds is $b = 187.25 \ pounds$

Step-by-step explanation:

From the question we are told that

The amount of beer administered is three 12-ounce beers

The amount of coffee administered is two cups of coffee

The speed limit is 60-mph

The smallest unit of scale is 1 mph

The first subject scores 9 mph

Generally given that the smallest unit of scale is 1 mph then the deviation of 9 mph will be by $\frac{1}{2} \ mph$

Hence the lower limit of 9 mph is

$j = 9 - 0.5$

$j = 8.5 \ mph$

And the upper limit of 9 mph is

$q = 9 + 0.5$

$q = 9.5 \ mph$

Generally given that the measuring weight on a scale that is accurate to the nearest 0.2 pound then 120 pounds will deviate by $\frac{1}{0.2} \ pounds$

Hence the lower limit of 120 pounds is

$i = 120 - 0.1$

$i = 119.9 \ pounds$

And the upper limit of 120 pounds is

$l = 120 + 0.1$

$l = 120.1 \ pounds$

Generally given that the measuring weight on a scale that is accurate to the nearest 0.5 pound then 187 pounds will deviate by $\frac{1}{0.5} \ pounds = 0.25 \ pounds$

Hence the lower limit of 120 pounds is

$a = 187 - 0.25$

$a = 186.75 \ pounds$

And the upper limit of 120 pounds is

$b = 187 + 0.25$

$b = 187.25 \ pounds$

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4 years ago

Solve for m: 598 + 15.75m < 850

inna [77]

Answer:

m < 16

Step-by-step explanation:

598 + 15.75m < 850

15.75m < 850 - 598

15.75m < 252

m < 16

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3 years ago