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3 years ago

Find the distance cd rounded to the nearest tenth. c=(7 -4) and D=(-8,-5)

Mathematics

2 answers:

nikitadnepr [17]3 years ago

6 0

Answer: 15.0 units.

Step-by-step explanation:

The distance between two points A (a,b) and B (c,d) is given by :-

$AB=\sqrt{(d-b)^2+(c-a)^2}$

Given points : C=(7 -4) and D=(-8,-5)

Now, the distance between two points C=(7 -4) and D=(-8,-5) will be :-

$CD=\sqrt{(-5-(-4))^2+(-8-7)^2}\\\\\Rightarrow\ CD=\sqrt{(-5+4)^2+(-15)^2}\\\\\Rightarrow\ CD=\sqrt{(-1)^2+(-15)^2}\\\\\Rightarrow\ CD=\sqrt{1+225}\\\\\Rightarrow\ CD=\sqrt{226}=15.0332963784approx15.0$

Hence, the distance between C=(7 -4) and D=(-8,-5) is CD = 15.0 units.

Lelu [443]3 years ago

3 0

Use either the distance formula or the Pythagorean Theorem. i suggest you plot the 2 given points and draw the line segment CD connecting these points.

What is the horiz. distance between the 2 points? The vertical distance?

If you'd square the horiz. distance and also square the vertical distance, and then add these two squares together, and finally take the positive square root of this sum, you'll have the distance cd. Round it off to the nearest tenth.

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Step-by-step explanation:

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2 years ago

Given fx) = 17- x2, what is the average rate of change in f(x) over the interval [1, 5]?

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Let R = rate of change

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R = [17 - 5^2] - [17 - 1^2]/(5 - 1)

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Answer:

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Step-by-step explanation:

<u><em>Verify each statement</em></u>

Option 1) Function A is a linear function and Function B is a nonlinear function

The statement is True

Because

Function A

The function A represent a proportional relationship that can be expressed in the form

Find the value of k

For x=1, y=5 ----> $k=\frac{5}{1}=5$

For x=2, y=10 ----> $k=\frac{10}{2}=5$

For x=3, y=15 ----> $k=\frac{15}{3}=5$

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The graph is a straight line

therefore

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Function B

we have

$y=4x^2+2$

This is a quadratic equation (vertical parabola open upwards)

The graph is a curved line

therefore

Function B represent a nonlinear function, because the graph is not a straight line

Option 2) Function B has two y-intercepts at (0, 2) and (0, –2)

The statement is False

Because

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=4(0)^2+2=2$

Therefore

The function B has only one y-intercept at (0,2)

Option 3) Function A has a positive rate of change.

The statement is True

Because

The rate of change of the function A is equal to the slope

The slope of the function A is m=5

Is a increasing function

As x increases the value of y increases

As x decreases the value of y decreases

Option 4) Function B has a negative rate of change

The statement is False

Because

To find the average rate of change, we divide the change in the output value by the change in the input value

we have

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For the domain ----> (-∞,0)

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For the domain ----> (0,∞)

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