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2 years ago

Find the length of the hypotenuse of a right triangle whose legs have lengths 4 and 8

1 answer:

6 0

Ya gotta use the Pythagorean theorem :)

a² + b² = c² (reminder: c is the hypotenuse)

4² + 8² = c²

16 + 64 = 80

√80 = 8.94

H = 8.94

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Use the limit theorem and the properties of limits to find the limit. Picture provided below

sashaice [31]

Answer:

b. 1/2

Step-by-step explanation:

lim (x -3)(x +2)

x-->-∞ ---------------

2x^2 + x +1

= lim (x^2 -3x +2x - 6)

x-->-∞ -----------------------

2x^2 + x +1

= lim (x^2 -x - 6)

x-->-∞ -----------------------

2x^2 + x +1

When we plug in x = -∞, we get indeterminate form.

Now we have to use the L'hospital rule.

d/dx (x^2 - x - 6) = 2x -1

d/dx (2x^2 + x + 1) = 4x + 1

Now apply the limit

lim (2x - 1) / (4x + 1)

x--->-∞

Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.

According to the rule, we get

= 2/4

Which can simplified as 1/2

The answer is 1/2

Hope this will helpful.

Thank you.

3 0

2 years ago

Read 2 more answers

What is 37 1/4 x 24 Please help!! im doing it for math!

Olenka [21]

Answer: 894

Step-by-step explanation:

3 0

2 years ago

HELP WILL GIVE BRAINLIEST IF CORRECT

mart [117]

Answer:

B. No, the remainder is -50.

General Formulas and Concepts:

Algebra I

Roots are when the polynomial are equal to 0

Algebra II

Synthetic Division

Step-by-step explanation:

Step 1: Define

Function f(x) = x³ - 10x² + 27x - 12

Divisor/Root (x + 1)

Step 2: Synthetic Division

See Attachment.

To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.

Please excuse the bad handwriting. Hope this helped!