Compare the graphs of the inverse variations y=-0.2/x and y=-0.3/x. Provide at least 3 comparisons

Answers

Answer 1

Answer: - both are not defined for x = 0

- both have the same symmetry axis: y = x

- both are hyperbolas

- both have the same asymptotes: the y-axis, i.e. y = 0

- both have the same limits when x approaches 0 by the right and by the left: positive and negative infinity.

- both have the same limits when x approaches + and - infinity: zero.

- they never touch one to each other

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A,B,C,D are 4 towns. B is 40 kilometeres due east of A. C is 30 kilometeres due north of A. D is 45 kilometeres due south of A. Worko out the bearing B from C

Answers

Answer:

Step-by-step explanation:

The diagram illustrating the scenario is shown in the attached photo.

We would determine angle ACB by applying the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Taking angle ACB as the reference angle,

Tan C = 40/30 = 1.33

Angle ACB = tan^-1(1.33) = 53.1°

The bearing is calculated with respect to the northern direction. Therefore, the bearing of B from C is

180 - 53.1 = 126.9°

The two angles of a triangle are 78 ° and 82°. So what is the measure of the remaining third angle? a. 160° b. 20° c. 360° d. 180°

Answers

Answer:

B. :))

Step-by-step explanation:

Triangles = 180°

78 + 82 + x = 180

160 + x = 180

x = 20

Evaluate the summation of 20 times 0.5 to the n minus 1 power, from n equals 3 to 12.

Answers

Answer:

The sum of the series is 9.99

Step-by-step explanation:

We are given the series $\sum_(n=3)^(12)20(0.5)^(n-1)$ .

So, $a_(n)=20(0.5)^(n-1)$ , where n=3 to 12

Then, we have,

$1.\ a_(3)=20(0.5)^(3-1)\na_(3)=20(0.5)^(2)\na_(3)=5$

$2.\ a_(4)=20(0.5)^(4-1)\na_(4)=20(0.5)^(3)\na_(4)=2.5$

Thus, the common ratio is $r=(2.5)/(5)=0.5$

Since, the sum of first n terms of a series is $S=(a_(1)(1-r^(n)))/(1-r)$ .

As n = 3 to 12, then the number of terms = 10, first term=a₃= 5 and r= 0.5

So, the sum of 10 terms is $S=(5(1-(0.5)^(10)))/(1-0.5)$

i.e. $S=(5(1-0.00098))/(0.5)$

i.e. $S=(5* 0.99902)/(0.5)$

i.e. $S=(4.9951)/(0.5)$

i.e. S = 9.99

Hence, the sum of the series is 9.99

Answer: 9.99

Step-by-step explanation:

I just took the quiz!

URGENT PLEASE WUICKLY AWBSER

Answers

Answer:

1) Reflection

2) Translation

3) Dialation

4) Translation (Hard to see, If it has gotten biggeror smaller, it is dialation)

5) Reflection

Let $A = (5,12)$, $B = (0,0)$, and $C = (14,0)$. For a point $P$ in the plane, the minimum value of $PA^2 + PB^2 + PC^2$ can be expressed in the form $m/n$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.

Answers

Answer:

Step-by-step explanation:

do it

To find the minimum value of the sum of the squares of distances, we can use calculus. The minimum value can be expressed as $233/9$.

To find the minimum value of $PA^2 + PB^2 + PC^2$, we need to find the point $P$ that minimizes the sum of the squares of the distances from $P$ to $A$, $B$, and $C$. Let's denote the coordinates of $P$ as $(x, y)$. Using the distance formula, we can find the expressions for the squares of the distances:

$PA^2 = (x - 5)^2 + (y - 12)^2$
$PB^2 = x^2 + y^2$
$PC^2 = (x - 14)^2 + y^2$

The sum of these expressions is $PA^2 + PB^2 + PC^2$:

$PA^2 + PB^2 + PC^2 = (x - 5)^2 + (y - 12)^2 + x^2 + y^2 + (x - 14)^2 + y^2$

Simplifying the expression:

$PA^2 + PB^2 + PC^2 = 3x^2 + 3y^2 - 38x - 24y + 365$

To find the minimum value, we can use calculus. Taking the partial derivatives of this expression with respect to $x$ and $y$ and setting them to zero, we can find the critical points. The coordinates of the point $P$ that minimizes the sum of the squares of the distances are $(x, y) = (13/3, 8/3)$. Plugging these values into the expression, we get:

$PA^2 + PB^2 + PC^2 = (13/3)^2 + (8/3)^2 = 233/9$

Therefore, the minimum value can be expressed as $233/9$, and $m + n = 233 + 9 = 242$.

Learn more about Sum of squares of distances here:

brainly.com/question/34148489

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A perfect score on a quiz is 100. Mrs. Frisoil gives students 1 point for putting their name on the paper. If there are only 9 questions on the quiz, how much is each question worth? Explain how you found your answer

Answers

Answer:

Step-by-step explanation:

Let's start with the total number of points (100) and take what we already know, away.

We know the name is worth one point.

99 points left over

Let's divide by the 9 questions there are to see if they all equal the same.

They do because 99/9 is 11 points each!

Very glad I could help!!

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