While taking an online pretest for an algebra class, the distance formula was displayed as shown below.

Mathematics

1 answer:

olga_2 [115]3 years ago

6 0

The calculated distance would be in square units instead of linear units.

Answer: Option C.

<u>Explanation:</u>

The Distance Formula itself is actually derived from the Pythagorean Theorem. This is the formula where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).

The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.

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Step-by-step explanation:

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3 years ago

If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) g(9) = 6 h(9) = 4 g' (9) = −6 h' (9) = 4 fx(6, 4) = 9 fy(6, 4)

horsena [70]

Answer:

dz / dt = -50

Step-by-step explanation:

To solve the chain rule must apply, we have all the necessary values to make the calculation, as follows:

using the chain rule, we find:

dz / dt = (∂z / ∂x) * (∂x / ∂t) + (∂z / ∂y) * (∂y / ∂t)

Evaluating when t = 9, we have to:

fx (6, 4) * g '(9) + fy (6, 4) * h '(9)

We know that g '(9) = −6; h '(9) = 4; fx (6, 4) = 9; fy (6, 4) = 1

Replacing:

(9 * -6) + (1 * 4) = -50

Por lo tanto dz / dt = -50

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3 years ago

In the diagram below, x is a whole number. what is the smallest possible value for x?

lesya692 [45]

Answer:

The smallest possible value for x is $9\ units$

Step-by-step explanation:

we know that

The <u>Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

$x+x>17\\2x>17\\x>8.5\ units$