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3 years ago

Find the length of the hypotenuse of a right triangle if a = 3 and b = 4.

Mathematics

2 answers:

natulia [17]3 years ago

7 0

It’s B, because of the Pythagorean theorem.

Mandarinka [93]3 years ago

4 0

Answer:

5..(b)

Step-by-step explanation:

Pythagoras theorem states that

Hypotenuse(squared)=opposite(squared)+ adjacent(squared)

hypotenuse=?,opposite=3,adjacent=4

hyp(squared)=3(squared)+4(squared)

hyp(squared)=9+16

hyp(squared)=25

find the square root of both sides

hypotenuse=5

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3 years ago

What is 3 1/3 -1 1/2 as a fraction?

eduard

Answer:

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Step-by-step explanation:

Step 1: Convert to Improper fractions

3 1/3 = 3*3/3 + 1/3 = 9/3 + 1/3 = 10/3

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3 years ago

Read 2 more answers

If x1 and x2 are the roots of the equation x^2 +5x-3=0, determine the value of x1^2 + x2^2. I know that I have to use vietas for

Arturiano [62]

Answer:

Step-by-step explanation:

Given

x² + 5x - 3 = 0

with a = 1, b = 5, c= - 3 , then

sum of roots x₁ + x₂ = - $\frac{b}{a}$ = - $\frac{5}{1}$ = - 5

product of roots = $\frac{c}{a}$ = $\frac{-3}{1}$ = - 3

Now

(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is

(- 5)² = x₁² + 2(- 3) + x₂²

25 = x₁² - 6 + x₂² ( add 6 to both sides ), then

x₁² + x₂² = 31

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3 years ago