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2 years ago

Which set of ordered pairs has point symmetry with respect to the origin (0, 0)?

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

7 0

The answer is the second option, which is: $(9, 2), (-9, -2)$

The explanation for this answer is shown below:

By definition, a set of ordered pairs that has point symmetry with respect to the origin $(0,0)$ , has the following form: (a,b), (-a,-b). Therefore, as you can see in the options shown in the problem, the only set of ordered pair that has the form mentioned before is: $(9,2), (-9,-2)$

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IRINA_888 [86]

Hey Hey! It's me again!

Answer:

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2 years ago

A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

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

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

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

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

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

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

Hence, the distance is 442 miles

7 0

2 years ago

What is the length of the unknown side of the right triangle? (1 point)

Dmitry_Shevchenko [17]

X^2 = 7^2 + 24^2x^2 =49 + 576x^2 = 625
x = 25

7 0

2 years ago

Read 2 more answers

'Ciumane ananen 32.50t + 5 = 28.75t + 20

gtnhenbr [62]

Answer:

The answer is 0.25

Step-by-step explanation:

(1)we group like terms by subtracting 32.50 by 28.75

(2) we subtract 20 and 5 to give us a value of 15

(3)when we subtract 32.50 and 28.75 we get a value of 3.75

(4)so the equation will look like this 3.75t = 15

(5)we divide 3.75 we both the two equations

(6)With a correct calculation, Your answer should be t = 0.25

6 0

2 years ago

In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following

Anna [14]

A circle is a figure bounded by a curved side which is referred to as circumference. Thus the area of the shaded region is option D. 81.65.

A circle is a figure bounded by a curved side which is referred to as circumference. Some of its parts are radius, diameter, sector, arc, etc.

The area of a circle can be determined by the given expression:

Area = π $r^{2}$

where r is the radius of the circle and π = $\frac{22}{7}$

So, the area of the shaded region can be determined as:

Area of the shaded region = area of the larger circle - area of the smaller circle

Area of the shaded region = π $(6.8)^{2}$ - π $(4.5)^{2}$

= π (46.24 - 20.25)

= $\frac{22}{7}$ x 25.99

= $\frac{571.78}{7}$

Area of the shaded region = 81.683

Thus the appropriate answer to the question is option D. 81.65.

For more clarifications on the area of a circle, visit: brainly.com/question/3747803

#SPJ1

6 0

1 year ago