<u>Answer:</u>
(4.75, 4)
<u>Step-by-step explanation:</u>
We are to find the coordinates of the point that partitions the directed line segment AB in 1:3 ration.
For this, we will use the following formula:
, 
where 
is the ratio of the first segment to the whole line segment so in this case, it will 
.
So substituting the given values in the above formula to find the coordinates:
Therefore, the coordinates of the point that partitions the directed line segment AB in a 1:3 ratio are (4.75, 4).
It depends if it is
1. 3x+(1/14)=(2x)/8 or
2. (3x+1)/14=(2x)/8
if it is 1
1.
3x+(1/14)=2x/8
simplify 2x/8
2x/8=x/4
3x+(1/14)=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
84x+2=7x
subtract 7x from both sides
77x+2=0
subtract 2 from both sides
77x=-2
divide both sides by 77
x=-2/77
2.
(3x+1)/14=2x/8
simpify 2x/8
2x/8=x/4
(3x+1)/14=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
(2)(3x+1)=7x
distribute
6x+2=7x
subtract 6x from both sides
2=x
Answer:
A.−3x^4+2x^2−4x
B.4p^7−10p^5+2p^4
Step-by-step explanation:
A.x(−3x^3+2x−4) then simplify −3x^4+2x^2−4x
B. -2p^3(-2p^4+5p^2-p) then simplify 4p^7−10p^5+2p^4
Answer:
D= 10 Dollars each month
Step-by-step explanation:
You find this answer by subtracting the one time fee of 20 from the total payed of 70, leaving you with 50. You then divide that 50$ by 5 months.
1.introduce a constant k hence
y=kx then find the value of the constant first -4=k2 hence k =-2
y=-2×-6
y=12
Step-by-step explanation:
follow the same procedure for the others and remember if it is inversely proportional then it becomes y=k/x
