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mojhsa [17]
3 years ago
6

Find the solution to the following equation by transforming it into a perfect square trinomial.

Mathematics
2 answers:
Alja [10]3 years ago
6 0
x^{2} -12x=13\ \ \ \Leftrightarrow\ \ \ x^2-2\cdot x\cdot 6+6^2-6^2=13\\\\ \Leftrightarrow\ \ \ (x-6)^2=13+36\ \ \ \Leftrightarrow\ \ \ (x-6)^2=49\ \ \ \Leftrightarrow\ \ \ (x-6)^2=7^2\\\\x-6=7\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x-6=-7\\\\x=13\ \ \ \ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ x=-1\\\\Ans.\ x\in \{-1,\ 13\}
alexandr1967 [171]3 years ago
4 0
X² -12x  = 13                       way to obtain 36   >       (-12/2)²  =  36    
x²  -12x + 36 =13 +36      since we add 36 to the left,we must also add 36 to the right
(x-6)²  =  49
x-6  =    7
x  =    7 + 6 =  13    or      -7 + 6  = -1
x =  -1    or    13
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liq [111]

Answer:

WITH DECIMAL: the bigger the demominateor (the bottom number) is, the smaller the value of the number. for ex. 1/4 is smaller then 1/2, 1/8 is bigger then 1/16, etc.

1/4 would go in between 0 and -1 because 1/4 isn't a whole number

-3 1/4 would go in between -3 and -4 becauce 3 AND 1/2 is more then just a 3

-2 3/4 would go in between -2 and -3 becasue 2 + other 3/4 is going to be bigger than 2 but smaller than a 3

9/4 is a tricky one casue 9 is bigger then 4. so you need to see how many times 4 goes into 9 (2 times = 4 +4 = 8) so the simplfied version would be 2 1/4 casue 9 - 8 = 1. so the 9/4 would go in between 2 and 3

lastly, the 3/4 would go in between 0 and 1 becasue 3/4 is deffinately smaller than 1 and definatly bigger than 0

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2 years ago
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Mnenie [13.5K]

Using the Pythagorean Theorem, we have that the distance from home plate to second base is about 127 feet.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the <u>sum of the legs squared</u> of the triangle, according to the following equation:

h^2 = l_1^2 + l_2^2

The distance between each consecutive base is of 90 feet, hence the distance from home plate to 2nd base is the hypotenuse of a <u>right triangle in which the legs are of 90 feet</u>, being the distances from home plate to 1st base and 1st base to 2nd base.

Then:

h² = 90² + 90²

h = sqrt(90² + 90²)

h = 127 feet.

The distance from home plate to second base is about 127 feet.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

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Alisiya [41]

Answer:

45/2

Step-by-step explanation:

ashjasdhkjasdha hello there

There are two people and there are 45 minutes to shoot the ball. As both people shoot for the exact same time, you have to divide 45 by 2 to split the time into two equal halves. Thus, the answer is 45 divided by 2, or just 45/2.

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goldenfox [79]

Answer:

-3/4

Step-by-step explanation:

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the radius of a standard baseball is about 3 in. about how many square in of horsehide required to cover 100 balls, to the neare
ipn [44]

Answer:

Step-by-step explanation:The surface area of a sphere (the shape of a baseball) is given by the formula, SA = 4 (pi) r^2. Given the circumference of the circle, you can solve for the radius.  

The formula for circumference is C = 2 x pi x r.  

So input 9 for C and solve. 9 = 2 x pi x r.  

You will get that r is equal to about 1.43 in.  

Now put that r value into the surface area equation: SA = 4 (pi) 1.43^2  

You will get a surface area equal to about 25.7 in^2.  

Now multiply that number by the number of baseballs you need to cover, 100.  

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