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3 years ago

Explain rate of change in graphs

Mathematics

1 answer:

zepelin [54]3 years ago

3 0

Answer:

change in y

over

change in x

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please make me brainliest

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In a homicide case 6 different witnesses picked the same man from a line up. The line-up contained 5 men. If the identifications

Vedmedyk [2.9K]

Answer:

since we have 6 witnesses and 5 men so,

therefore the probability that they would pick the same man is $\frac{5}{6} =0.83333$ to 5 decimal places

Step-by-step explanation:

probability is the likelihood of an event occurring or not happening.

6 0

3 years ago

The tangent to the circle x^2+y^2=18 is parallel to the tangent x+y=6

liubo4ka [24]

Answer:

y = -x - 6

Step-by-step explanation:

If we are looking for the equation of the line tangent to the circle, we have to find the first derivative of the circle function. If that tangent line is to be parallel to the given tangent line, we need to find the slope of the the given tangent line and make sure the slope of the line we are looking for is the same. First let's find the slope of the given tangent. If the given tangent is x+y=6, then to find the slope, solve for y:

y = -x + 6. So the slope of that line, and also the slope of the tangent we are solving for, is -1. Hold that thought while we find the derivative of the function. Using implicit differentiation, we find the derivative to be:

$2x+2y\frac{dy}{dx}=0$

Solving for the slope (dy/dx) gives us:

$2y\frac{dy}{dx}=-2x$ and

$\frac{dy}{dx}=\frac{-2x}{2y}$ so

$\frac{dy}{dx}=-\frac{x}{y}$

Subbing in the value of the slope we found:

$-1=-\frac{x}{y}$ so

-y = -x or, equivalently,

y = x. Now that we know that y and x are the same value, we can go back to the original circle to find out what they both are by substitution. If y = x, we make the substution:

If $x^2+y^2=18$ , then

$y^2+y^2=18$ and

$2y^2=18$ and

$y^2=9$ so

y = ±3

We will choose the negative root (you'll see why in a second) and sub that in for both y and x since y and x are th same number. Going back to the fact that the slope is -1:

y - (-3) = -1(x - (-3)) simplifies a bit to:

y + 3 = -x - 3 which gives us, in slope-intercept form:

y = -x - 6

That is the equation of the tangent to the circle that is parallel to the given tangent.

If we would have chosen the principle (or positive) root of 3, our equation would have looked like this:

y - 3 = -1(x - 3) and

y = -x + 3 + 3 so

y = -x + 6. Notice that that is the EXACT SAME EQUATION as the given tangent. That's why we have to pick the negative 3 as our root.

Good luck in your calculus class! Make sure you post your questions in here! Many of us LOVE the challenge of calculus!

3 0

4 years ago

The Washer family spent $15.80 each week for milk until the milk prices rose 5% in their town How much do they spend weekly on m

Law Incorporation [45]

15.80 * 1.05 should give you the answer

A method to solve it would be would be:
First converting 5% to a decimal then multiplying that by 15.80 in order the find 5 percent of 15.80...Afterwards you have to add that value to the original 15.80 ..And you should end up with the same answer.

6 0

4 years ago

Read 2 more answers

The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only

White raven [17]

To find the area of a triangle, use 1/2 x b x h. 3 x 4 = 12 1/2 of 12 = 6

There are two triangles, each of these are 6 6 x 2 = 12

The bottom shape is 3.5 x 3 3.5 x 3 = 10.5

The front shape is 3.5 x 5 3.5 x 5 = 17.5

The back shape is 3.5 x 4 3.5 x 4 = 14

Add them all together: 14 + 17.5 + 10.5 + 12 = 54

Your answer is 54!

7 0

3 years ago

Find the value of x please

Alja [10]

Answer:

x=22

Step-by-step explanation:

angle RTS = 5x-40 (isosceles triangle)

angle RTS + angle STU = 180 (straight line)

so 5x-40+5x = 180

10x = 220

x=22

8 0

3 years ago