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3 years ago

(5,2) and 16,5) Slope

Mathematics

1 answer:

Bogdan [553]3 years ago

6 0

Answer:

y=10/18x- 9 2/3

Step-by-step explanation:

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Could someone please check the Answer to my Math problem, Thank you.

denis-greek [22]

Y=6 looks good to me hope you get an A

8 0

3 years ago

A triangle has a base of 3 feet, and a height of 6 feet. If its area is increased to 335 ft² by increasing the base and height b

Nonamiya [84]

So you have to find the area, because it says 335 ft². Then add 335 ft ² to the area. The answer is that sum. In otherwords, 9 plus 335

6 0

3 years ago

A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

The equation for Pythagorean's Theorem is

$x^2+y^2=c^2$ where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Looking at that equation, it looks like we need a value for x, y, $\frac{dx}{dt}$ and $\frac{dy}{dt}$ .

Since we are looking for $\frac{dx}{dt}$ , that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

$x^2+6^2=10^2$ and

$x^2+36=100$ and

$x^2=64$ so

x = 8.

NOW we can fill in the derivative and solve for $\frac{dx}{dt}$ .

Remember the derivative is

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ so

$8\frac{dx}{dt}+6(-2)=0$ and

$8\frac{dx}{dt}-12=0$ and

$8\frac{dx}{dt}=12$ so

$\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec$

7 0

4 years ago

How do I solve this?

Yuki888 [10]

The answer is B. The values of y must only be positive because it is equal to
$| - x|$
The other options states that the values of y could be negative which is why it is wrong.

3 0

4 years ago

A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain?

Flauer [41]

The domain will be x>0 because their cannot be negative people or negative cost of living per person.

4 0

4 years ago