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3 years ago

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

$3x+2y=1.25\\
2x+y=0.75\\\\
3x+2y=1.25\\
-4x-2y=-1.5\\
--------\\
-x=-0.25\\
x=0.25\\\\
2\cdot0.25+y=0.75\\
0.5+y=0.75\\
y=0.25\\\\
6x+y=6\cdot 0.25+0.25=1.5+0.25=\boxed{1.75}$

3 0

3 years ago

Slope intercept form .

Damm [24]

I think u forgot to attach the picture

5 0

3 years ago

What are the roots to the equation 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