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kondaur [170]
2 years ago
6

Find the value of x a. 2 b. 4 c. 6 d. 8

Mathematics
1 answer:
tiny-mole [99]2 years ago
8 0

Answer:

B, 4

Step-by-step explanation:

To do this you can use the Pathagaryos thereom a^2+b^2=c^2

So we have (x-2)^2+x^2=20

We can expand (x-2)^2 and get

x^2-4x+4

so we have x^2 -4x +4 + x^2=20

We can combine like terms and subtract 20 from both sides to get

2x^2-4x-16=0

We can factor this and get (2x+4)(x-4)

which means that x=4 and -2

Obviously the length can't be a negative and so we reject x= -2 and we get x=4

We can double check it and see that

(4-2)^2+4^2=20

and it does

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Evaluate the expression<br><br> x^2 (y - 2)<br> —————, if x=3, and y= -1<br> 3y
vitfil [10]

Answer:

\huge\boxed{\sf 9}

Step-by-step explanation:

\displaystyle = \frac{x^2(y-2)}{3y} \\\\Put \ x = 3, \ y = -1\\\\= \frac{(3)^2(-1-2)}{3(-1)}\\\\= \frac{9(-3)}{-3} \\\\= 9 \\\\ \rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3><h3>Peace!</h3>
4 0
2 years ago
Read 2 more answers
−9x+4y=6 9x+5y=−33 ​
blsea [12.9K]

Answer:

{x,y} = {-2,-3}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    -9x + 4y = 6

  [2]    9x + 5y = -33

Graphic Representation of the Equations :

   4y - 9x = 6        5y + 9x = -33  

Solve by Substitution :

// Solve equation [2] for the variable  y  

 

 [2]    5y = -9x - 33

 [2]    y = -9x/5 - 33/5

// Plug this in for variable  y  in equation [1]

  [1]    -9x + 4•(-9x/5-33/5) = 6

  [1]    -81x/5 = 162/5

  [1]    -81x = 162

// Solve equation [1] for the variable  x  

  [1]    81x = - 162  

  [1]    x = - 2  

// By now we know this much :

   x = -2

   y = -9x/5-33/5

// Use the  x  value to solve for  y  

   y = -(9/5)(-2)-33/5 = -3

3 0
2 years ago
Carly commutes to work, and her commute time is dependent on the weather. When the weather is good, the distribution of her comm
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We are given with
x1 = 20 min
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x2 = 30 min
s2 = 4 min

p = 0.9
Condition (x > 25)

We need to get the t-value between the two means and comparing it wit the t-value for the time of 25 minutes given that there is a 90% probability that the weather will be good. Simply use the t-test formula and use the t-test table to get the probability.
8 0
3 years ago
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On monday ,jan made wgitmddrawls of $25,$45 and $75 from her savings account .On the sane day, het twin sister lola made withdra
Dafna11 [192]
Part (a):
We will assume that the total amount is Jan's saving account is "m"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
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Amount of money remaining in her account = m - 145$
The amount of money Jan withdrew = 25$ + 45$ + 75$ = 145$

Part (b):
We will assume that the total amount is Lola's saving account is "n"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -35$ - 55$ - 65$
Amount of money remaining in her account = n - 155$
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She can make 4 basketballs in 1/2 hours.how many in 5 hours?
svetoff [14.1K]

Answer: 40

Step-by-step explanation:

8 0
2 years ago
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