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Anarel [89]
3 years ago
9

A triangle has sides of lengths 4, 3, and 5. Is it a right triangle? Explain.

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

yes; 4² + 3² = 5²

Step-by-step explanation:

Pythagorean theorem.

In a right triangle the square of the hypotenuse is equal to  the sum of the squares of the other two sides. Hypotenuse is the longest side of the triangle.

4² + 3² = 5²

16 + 9 = 25

25 = 25  

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Select the two values of x that are roots of this equation
Jet001 [13]
<h2>Hello!</h2>

The answers are:

B.   \frac{-3-\sqrt{29}}{2}

C.   \frac{-3+\sqrt{29}}{2}

<h2>Why?</h2>

We can use the quadratic equation to find the two values of x that are roots of the given equation. We must remember that most of the quadratic equations have two roots, however, we could find quadratic equations with just one root or even with no roots, at least in the real numbers.

Quadratic equation:

\frac{-b+-\sqrt{b^{2}-4ac} }{2a}

So,

From the given equation we have:

a=1\\b=3\\c=-5

Substituting it into the quadratic equation to find the roots, we have:

\frac{-b+-\sqrt{b^{2}-4ac} }{2a}=\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}\\\\\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}=\frac{-3+-\sqrt{9+20} }{2}\\\\\frac{-3+-\sqrt{29}}{2}

So,

x_{1}=\frac{-3-\sqrt{29}}{2}\\\\x_{2}=\frac{-3+\sqrt{29}}{2}

Hence, the correct options are B and C.

7 0
3 years ago
Why does it make sense to use 660 and 60 to estimate the quotient
Alexxx [7]
What the qoutient sweetheart
5 0
3 years ago
Tracy was given a bag of 250 colored marbles .She randomly chose marble , recorded its color in the table ,and returned it to th
jok3333 [9.3K]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
What step do u preform first when evaluating the expression 3 + (18 - 6) + 20 divided by 4
Elena L [17]

Answer:

Step-by-step explanation:

=3+(18-6)+20÷4

=3+12+20÷4

=3+12+5

=20

use BODMAS rule (Bracket of Division, Multiplication, Addition, and Subtraction)

5 0
2 years ago
Read 2 more answers
Solve the equation<br><br> c/7=6 1/7
Softa [21]
c/7 = 6 1/7 ⇒ c = 43 ⇒ 43/7 = 6 1/7

Convert mixed fraction into a simple fraction

6 1/7 ⇒ (6 * 7 + 1)/7 = 43/7 

c/7 = 43/7

proportionality: 

a/b = c/d where    ad = bc

a = c 
b = 7 
c = 43
d = 7          

ad = bc ⇒ c7 = 7*43 ⇒ c7 = 301 ⇒ 7c/7 = 301/7 ⇒ c = 43

 
5 0
3 years ago
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