Answer:
With all the lines, I may be wrong. But I'm confident that line B has a slope of 2.
This is because it rises up 2 up the y axis for every one unit on the x axis.
This is my answer, I hope it will help you
The x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is (17, 11)
<h3>Midpoint of coordinate points</h3>
The midpoint of a line is the point that bisects or divides the line into two equal parts
If the line JK is partitioned into the ratio 1:4 with the following coordinates
J(-15, -5) and K(25, 15)
Using the expression below;
M(x, y) =[mx1+nx2/m+n, my1+ny2/m+n]
Substitute the ratio and the coordinates
M(x, y) =[1(-15)+4(25)/4+1, 1(-5)+4(15)/1+4]
M(x, y) = [(85)/5, 55/5]
M(x, y) = (17, 11)
Hence the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is ((17, 11)
Learn more on midpoint of a line here: brainly.com/question/5566419
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Answer:
24
Step-by-step explanation:
The cake measures 10 inches by 15 inches. If pieces are 2.5 inches long and wide (they are square and equal) then 6 pieces will be cut along the length.
15/ 2.5 = 6
And 4 pieces will be cut along the width.
10/ 2.5 = 4
All together when the entire cake is cut, there will be 4*6 = 24 squares 2.5 inch long pieces.
Answer: 360 mg of the medicine will be detected after 48 hours
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
P represents the initial dosage of the medicine.
A represents the final dosage of the medicine after t hours.
t represents the number of hours.
r represents the rate of decay
From the information given
P = 1000 mg
r = 40% = 40/100 = 0.4
The expression becomes
A = 1000(1 - 0.4)^t
A = 1000(0.6)^t
In 48 hours, t = 2
Therefore,
A = 1000(0.6)^2
A = 360
