By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 
<h3>What is section formula ?</h3>
Let point P(x,y) cuts line joining point 
and 
in 
then coordinate of point P is equal to 
Here given that point divides line segment from J to K into a ratio 5:1
So
Now we have to fin y coordinate of point that divides the directed line segment from J to K into a ratio of 5:1
We can calculated y coordinate by applying section formula as :
By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is
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The coordinates of B are (4 , -3) .
A cartesian coordinate system, which uses signed distances between two fixed perpendicular oriented lines and the point measured in the same unit of length, uniquely identifies any point in a plane by a pair of numerical coordinates.
- The origin of each reference coordinate line, known as an axis of the system or simply an axis (plural axes), is the intersection of the ordered pairs (0, 0).
- The coordinates can also be determined by looking at the locations of the perpendicular projections of the point onto the two axes, which are shown as signed distances from the origin.
Let the coordinates of B be (x, y)
As M is the mid point of AB , we know from the distance formula that the coordinates of M will be:
abscissae of M = (-2 + x) /2
or, 1 = (-2 + x) /2
or, x = 4
Ordinate of M = (5 + y)/2
or , 1 = (5 + y)/2
or, y = -3
Therefore the coordinates of B are (4 , -3)
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Answer:
A.) 55/8
Step-by-step explanation:
To make 6 7/8 an improper fraction, multiply the whole number by the denominator and add the result to the numerator.
That’s
6 x 8 = 48
48 + 7 = 55
Also, the denominator of the mixed number still remains the denominator of the improper fraction.
That’s
55/8
To divide you are basically taking something and putting it into groups. For example, if you have 20 divided by 5, you can look at it like this.
20 apples and 5 baskets, you place one apple in each of the 5 baskets. Than you do this again until there is an even amount of apples in each basket and you don't have any outside the baskets.
So what if you have 24 apples and 5 baskets. You could do the same steps but your going to have a remainder of 4 apples because 4 apples wont fit into 5 baskets without you cutting them.
And also if you have say, 21 apples and 5 baskets you can go through the same steps but you can cut the remainder apple into 5 equal peaces to get 4.2.
Answer:
12 pieces
Step-by-step explanation:
Since on Thursday Glenn and Ben each ate an eight, then total they ate 2*1/8=2/8=¼
¼ of 24 pieces is equivalent to
¼*24=6 pieces
The number of pieces that remain would be 24-6=18 pieces
The one third of leftover ate rhe next day will be equivalent to
⅓ of 18
⅓*18=6 pieces
Remaining pieces next day will be 18-6=12 pieces
Therefore, only 12 pieces out of 24 original pieces remain the following day.
