All categories

2 years ago

Given point B is located at

Mathematics

1 answer:

ELEN [110]2 years ago

4 0

Answer: $\Large\boxed{Point~B'~=~(-4,~-2)}$

Step-by-step explanation:

Given information

Point B = (-2, -4)

Reflection line: y = x

Concept:

When reflecting over the line y = x, the position of y and x in the original coordinate switches places.

This is because it is " y = x ", assuming that they could interchange

Find the coordinate of Point B'

Original (x, y) = (-2, -4)

Point B' = (x', y') = (y, x) = $\Large\boxed{(-4,~-2)}$

Please refer to the attachment below for a graphical understanding

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in

WIll reward with high brainly points if these questions are aswered correctly

Phoenix [80]

A = Ao(x)^t

Ao = 500

A = 500(x)^t

400 = 500 (x)^1

x = 4/5

A = 500(4/5)^t << The exp eqn

8 0

4 years ago

SCALCET8 3.9.005.MI. A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m3/min. How fast is the height

Lana71 [14]

Answer:

The height of the water is increasing at a rate of 0.05m/min.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder, with radius r and height h, is given by:

$V = \pi r^2h$

Radius 5 m

This means that $r = 5$ , and so:

$V = 25\pi h$

How fast is the height of the water increasing?

We have to differentiate V and h implictly in function of t. So

$\frac{dV}{dt} = 25\pi\frac{dh}{dt}$

Being filled with water at a rate of 4 m3/min

This means that $\frac{dV}{dt} = 4$ . The questions asks $\frac{dh}{dt}$ . So

$\frac{dV}{dt} = 25\pi\frac{dh}{dt}$

$4 = 25\pi\frac{dh}{dt}$

$\frac{dh}{dt} = \frac{4}{25\pi}$

$\frac{dh}{dt} = 0.05$

The height of the water is increasing at a rate of 0.05m/min.

8 0

3 years ago

Find two supplementary angles such that the smaller is 30 degrees more than one-half the larger

almond37 [142]

Answer: 100° and 80°
==================================
working:

supplementary angles = angle + angle = 180°

let the larger angle be x
smaller angle = (x/2) + 30

x + ((x/2) + 30) = 180°
(2x + x + 60) / 2 = 180°
3x + 60 = 360°
3x = 300°
x = 100°

Therefore the larger angle is 100°

smaller angle
= (100° / 2) + 30°
= 80°

Therefore, the two supplementary angles are 100° and 80°

6 0

3 years ago

What is the inequality shown

Artist 52 [7]

Answer:

-2 ≤ x < 8

Step-by-step explanation:

Shaded in circle above the number means greater/less than or equal to.

In this instance, -2

Non-shaded in circle above the number means greater/less than.

In this instance, 8

The line between the two circles is where any number (x) could be.

Between -2 and 8, so -2 ≤ x < 8

5 0

3 years ago

An internet provider states that, on average, the daily amount of time an adult spends on the internet is 4.5 hours. A sociologi

Rzqust [24]

Answer:

a. The average daily amount of time an adult spends on the internet is different than 4.5 hours.

Step-by-step explanation:

An internet provider states that, on average, the daily amount of time an adult spends on the internet is 4.5 hours.

At the null hypothesis, it is claimed that the mean is of 4.5 hours, that is:

$H_0: \mu = 4.5$

A sociologist studying the behaviors of internet consumers believes the average daily amount an adult spends on the internet is different than the amount stated by the internet provider.

At the alternative hypothesis, the sociologist claim, is that the mean is different of 4.5, that is:

$H_1: \mu \neq 4.5$

Thus, the correct answer is given by option a.

3 0

3 years ago