All categories

1 year ago

Find the value of x. show work

Mathematics

1 answer:

dedylja [7]1 year ago

5 0

<h2>Answer:</h2><h2>x = √77</h2><h2>or</h2><h2>x = 8.77</h2>

Step-by-step explanation:

it's a right triangle

Pythagorean theorem

the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

x² = 9² - 2²

x² = 81 - 4

x² = 77

x = √77

x = 8.77

---------------------

You might be interested in

"I'm thinking of a fraction that is equivalent to 3/9

vlabodo [156]

Answer:

1/3

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Make q the subject of the formula <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bp%20%7D%20%20-%20%20%5Cfrac%7Bb%7D%7

alukav5142 [94]

Answer:

q=bp

a- cp

Step-by-step explanation:

a - b = c

p q

Multiply through by pq

qa - bp = cpq

qa - cpq = bp

q [a-cq] = bp

q= bp

a-cp

5 0

2 years ago

What is the square root of 24? show your steps.

yawa3891 [41]

Step-by-step explanation:

√24= √(2×2×2×3)

=2√2×3

=2√6

8 0

2 years ago

What is the exact value of tan(−π4)? Enter your answer in the box.

kondor19780726 [428]

Answer:

What is the exact value of tan(−π4)? is 20

4 0

1 year ago

From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square

timama [110]

Answer:

α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

(x -α)(x -β) = 0

Expanding this, we get ...

x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

(α +β)² = α² +β² +2αβ

α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

α² +β² = 3 4/9

4 0

1 year ago