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Serga [27]
3 years ago
9

PLEASE HELP!! I’m very confuse

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

Given:

A(16, 4)

B(34, 40)

Line segment AB partition in the ratio 1 : 5.

To find:

The coordinate of a point that partitions AB.

Solution:

Section formula:

$P(x,y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+m y_{1}}{m+n}\right)

Here x_1=16, y_1=4, x_2=34, y_2=40 and m = 1, n = 5

$P(x,y)=\left(\frac{1\times 34+5 \times 16}{1+5}, \frac{1\times 40+5 \times4}{1+5}\right)

$P(x,y)=\left(\frac{ 34+80}{6}, \frac{40+20}{6}\right)

$P(x,y)=\left(\frac{ 114}{6}, \frac{60}{6}\right)

$P(x,y)=(19, 10)

The coordinate of point that partitions the segment AB is (19, 10).

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Can 57 rows be divided into a number of equal sections? explain how you found your answer?
Helen [10]

You need to find out if 57 can be divided evenly by a number other than 1 and 57.

57 is odd, so it is not divisible by 2.

The digits of 57 are 5 and 7. Add 5 + 7 to get 12. Since 12 is divisible by 3 (12/3 = 4), then 57 is also divisible by 3.

57/3 = 19

19 is a prime number, so the only factors of 57 are 1, 3, 19, 57.

57 rows can be divided into 19 sections of 3 rows each or 3 sections of 19 rows each.

8 0
3 years ago
Write 0.003 as the product of a whole number and a power of 10
Arte-miy333 [17]

3 × 10^{-3}

expressing as a whole number, using the digits available, we obtain

3

Now consider the position of the decimal point in the original 0.003

To get it back to where it should be we require to move the decimal point 3 places to the left , denoted by a negative exponent

0.003 = 3 ×  10^{-3}


8 0
2 years ago
Rachel has 1/2 pound of flour in a container. If the container is 2/5 full, how many pounds of flour can Rachel fit in the entir
Westkost [7]

Answer:

1 1/4 pounds

Step-by-step explanation:

You can write the equation ...

  (1/2) lb = (2/5) × container

Multiplying by the inverse of 2/5 gives ...

  (1/2)·(5/2) lb = container

  5/4 lb = container

  container = 1 1/4 lb

3 0
3 years ago
Approximately how many times greater is 1.2×103 than 4×10−1 ?
Galina-37 [17]
3000 Quick answer
Let your calculator do the work. Be careful how you enter this in. (Are you supposed to estimate it? We'll get around to that.) Write it like this.

1.2 * 10^3 divided by 4 * 10^-1 Your calculator will do this nicely. The trick is the - 1. Put it in the calculator like this.
1.2 
*
10
^
3
=
÷
4
*
10
^
(-1) 
= The calculator should read 3000
That's one way to do it. Another way is just to do it all by hand. The numbers are easy enough
1.2 * 10^3 means shift the decimal 3 places right. 1 200 which is 1200
4 * 10^-1 can be handled 2 ways 10 to the minus 1 in the denominator becomes 10^1 in the numerator. Notice the sign change on the 10 when you shift if :it becomes plus! That's why you did it.

1200 * 10^1 
12000

Now you are still left with 4 in the denominator.
12000/4 = 3000. 

The first method always works. The second one gives you a better understanding of how powers work. There are other ways of doing this, but these are the two best, I think.
4 0
3 years ago
Point \blue{A}Astart color blue, A, end color blue is at \blue{(-4, 8)}(−4,8)start color blue, left parenthesis, minus, 4, comma
ASHA 777 [7]

Answer:

The coordinates of point B are (6,7).

Step-by-step explanation:

Given points are

Blue = A(-4,8)

Purple = M(1,7.5)

Green = B

It is given that point M is the midpoint of point A and B.

Let coordinates of points are (a,b).

Midpoint of two points is

Midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

M=(\dfrac{-4+a}{2},\dfrac{8+b}{2})

Coordinates of midpoint are (1,7.5).

(1,7.5)=(\dfrac{-4+a}{2},\dfrac{8+b}{2})

On comparing both sides we get

1=\dfrac{-4+a}{2}\Rightarrow 2=-4+a\Rightarrow a=6

7.5=\dfrac{8+b}{2}\Rightarrow 15=8+b\Rightarrow b=7

Therefore, the coordinates of point B are (6,7).

6 0
2 years ago
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