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KIM [24]
3 years ago
13

The side lengths of a right triangle are 2,3, and 4 determine whether this set of numbers forms a right triangle

Mathematics
1 answer:
sergejj [24]3 years ago
4 0

Answer:

NO.

Step-by-step explanation:

The formula of the sides of a right triangle is a^{2}+ b^{2}= c^{2}, where c is the longest side. 2 squared is 4. 3 squared is 9. Adding them up gives you 13, and 4 squared is 16. 16 does not equal 13 so no.

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You buy tomato sauce for $0.37 per ounce. One portion of potato gnocchi requires 2 ounces of tomato sauce. How much does the sau
Novay_Z [31]

Answer:

$0.74 = 74 cents

Step-by-step explanation:

The cost of one ounce of tomato = $0.37

1 portion of potato gnocchi requires 2 ounces of tomato sauce.

To find the cost of one portion of the potato gnocchi, we have to simply find the cost of 2 ounces of tomato sauce.

That is:

Cost = 2 * 0.37 = $0.74

Hence, one portion of potato gnocchi costs $0.74

Since $1 = 100 cents, the cost in cents will be:

0.74 * 100 = 74 cents

6 0
3 years ago
Three apples and 2 oranges cost $1.25, while 2 apples and an orange were 75 cents. At the rate, find the cost of 6 apples and an
Effectus [21]
X - apple
y - orange

3x+2y=1.25\\
2x+y=0.75\\\\
3x+2y=1.25\\
-4x-2y=-1.5\\
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-x=-0.25\\
x=0.25\\\\
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0.5+y=0.75\\
y=0.25\\\\
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3 0
3 years ago
Slope intercept form<br>.<br><br>​
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3 years ago
What are the roots to<br> the equation<br> 2x² + 6x-1=0?
lys-0071 [83]

Answer:

The roots of  equations are as m =  \frac{-3}{2} + \frac{\sqrt{11} }{2}  And n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}    

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = \frac{ - b}{a}

And products of roots = \frac{c}{a}

So, m + n = \frac{ - 6}{2} = - 3

And m × n =  \frac{ - 1}{2}

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 (\frac{ - 1}{2})

Or, (m - n)² = 9 + 2 = 11

I.e m - n = \sqrt{11}

Again m + n = - 3    And m - n = \sqrt{11}

Solving this two equation

(m + n) + ( m - n) = - 3 + \sqrt{11}

I.e 2 m =  - 3 + \sqrt{11}

Or, m = \frac{-3}{2} + \frac{\sqrt{11} }{2}

Similarly n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}      

Hence the roots of  equations are as m =  \frac{-3}{2} + \frac{\sqrt{11} }{2}  And n =  \frac{-3}{2} - \frac{\sqrt{11} }{2}      Answer

6 0
4 years ago
Jonathan has 25 coins in his pockets and they are all either nickels or quarters. If he has a total of
victus00 [196]

Answer:

The answer is 10 quarters and 15 nickels

Step-by-step explanation:

Lets say x equals the number of quarters and y quals the number of nickels. Since there is a total of 25 coins that means that x+y=25. But, the quarter costs 0.25, and the nickel costs 0.05. That means that we have to multiply the number of each coin with their cost. Which leads us to: (x*0.25)+(y*0.05)=3.25. By solving these two equations you'll see that x=10 and y=15.

3 0
3 years ago
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