What is 100.34567 in a fraction and word form? Thank you! ❤

Point AAA is at {(2,-8)}(2,−8)left parenthesis, 2, comma, minus, 8, right parenthesis and point CCC is at {(-4,7)}(−4,7)left par

solniwko [45]

Answer:

The coordinates of point B are (-2, 2).

Step-by-step explanation:

Given:

Point A (2,−8)

Point C (−4,7)

Point B divides the line AB such that the ratio AB:BC is 2:1.

To find: The coordinates of point B.

Solution:

We can use the segment formula here to find the coordinates of point B which divides line AC in ratio 2:1

$x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}$

Where $(x,y)$ is the co-ordinate of the point which

divides the line segment joining the points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ in the ratio $m:n$ .

m = 2

n = 1

As per the given values

$x_{1} = 2\\x_{2} = -4\\y_{1} = 8\\y_{2} = 7$

Putting the values in the formula:

$x = \dfrac{2 \times (-4)+1\times 2}{2+1}=\dfrac{-8+2}{3} =-2\\y = \dfrac{2\times 7+1 \times (-8)}{2+1} = \dfrac{6}{3} =2$

So, <em>the coordinates of point B are (-2, 2)</em>.

6 0

3 years ago

If you are changing meters to centimeters, what direction do you move the decimal point?

zysi [14]

to the right. think about it. there's 100 centimeters in a meter so you would want to move the decimal place in a way that increases the value you have.

ex: 5.76 meters. move to the right twice = 576 centimeters

3 0

3 years ago

A company sells kitchen toys for kids, including artificial carrots that are cone shaped with a radius of 1 cm and a height of 6

sdas [7]

Answer:

Total space in the box is 75.2 cm³.

Step-by-step explanation:

Cone:

It is three dimension shape.
It has a vertex.
The slant height of a cone $l^2=r^2+h^2$ , $l$ = slant height, r= radius of the base, h= height
The lateral surface area is πrl
The volume of a cone is $\frac13 \pi r^2h$ .

The artificial carrot that are cone shaped with a radius 1 cm and a height of 6 cm.

So, the volume of the cone is = $\frac13 \pi r^2h$

$=\frac13 \pi (1)^2.6$

$=2\pi$ cm³

The volume 1 dozen carrots is = (12×2π) cm³

=75.4 cm³

The volume of the box= The volume of the 1 dozen carrot.

Total space in the box is 75.2 cm³.

4 0

3 years ago

Edmund purchased a computer for $1,800 on a payment plan (month zero). Three months after he purchased the computer, his balance

trapecia [35]

Answer:

Well I can't make a table but I can explain the answer.

Step-by-step explanation:

So you have $1,800 on a payment plan. In three months, the balance is 1,350. So 1,800-1,350=450. This means he paid $450 in three months. 450/3 is 150. He pays $150 a month. Then 2 months later, (5 months after purchase) he has balance is $1,050. 1,350-1,050=300. 300/2=150. Further evidence of the fact that he pays 150 dollars a month. This means that the 6th month, he will have $900 dollars left on the payment. 7th month... $850, 8th month... $600, 9th month... $450, 10th month... 300 dollars, 11th month... 150, and 12 month he will have paid off all of his computer. Hope it helps, sorry it is so long. Have a great day! :D

6 0

3 years ago

The figure is reflected across line m and then reflected across line n. What is the resulting transformation?

Harman [31]

Assuming AB in line m and CD is line n, the final image we be as shown in the figure below.

7 0

3 years ago

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