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2 years ago

What values of x must be excluded from the domain of

Mathematics

2 answers:

zaharov [31]2 years ago

3 0

Answer:

B) x = -1 and x = 6

Step-by-step explanation:

The values that must be excluded from the domain are the values for which f(x) is undefined. Those values are the ones that make the denominator be zero.

We can find the zeros of the denominator by factoring.

... x² -5x -6 = (x +1)(x -6)

The product is zero when either factor is zero, so when x=-1 or x=6.

Illusion [34]2 years ago

3 0

Answer:

Step-by-step explanation:

-2 & 6

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Ierofanga [76]

The area of the triangle is $2\sqrt{3}$ = 3.4641 square feet.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.

In the given triangle, the hypotenuse is the side that is represented by c. The other sides on the triangle are represented by the values a and b.

Step 2:

Assume the other side of the triangle measures x units.

So according to the Pythagorean theorem,

$4^{2} = (2\sqrt{3} )^{2} + x^{2} , x^{2} = 4^{2} - (2\sqrt{3} )^{2} .$

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So the other side of the triangle, b measures 2 feet.

Step 3:

The area of a triangle is half the product of its base length and height.

The base length of this triangle is $2\sqrt{3}$ feet and the height is 2 feet.

The area of the triangle $= \frac{1}{2} (2\sqrt{3} )(2) = 2\sqrt{3} = 3.4641.$

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