A point T on a segment with endpoints D (1, 4) and F (7, 1) partitions the segment in a 3:1 ratio. Find T. You must show all wor
1 answer:
If a line segment is partitioned having ending points (1,4),(7,1) in the ratio of 3:1 then the coordinates will be (25/4,7/4)
Given Ending points (1,4), (7,1) and the ratio 3:1 in which the line segment is divided.
If we are given the ratio m:n and the ending points of the line segment then the coordinates of the point dividing the segment will be (mx2+nx1/m+n,my2+ny1/m+n)
Putting the values of m=3 n=1 x1=1 y1=4 x2=7 and y2=1 we get
Coordinates (x,y)=(3*7+1*1/3+1,3*1+1*4/3+1)
=(21+1/4,3+4/4)
=(22/4,7/4)
Hence the point which is dividing the line segment having ending points (1,4) and (7,1) in the ratio 3:4 is (22/4,7/4).
Learn more about ratio here brainly.com/question/2328454
#SPJ10
You might be interested in
Mrs. Benson has 184 math assignments left to grade.
<u>Step-by-step explanation:</u>
Here we have , Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade.We need to find Mrs. Benson has how many math assignments left to grade. Let's find out:
Let total Number of math assignments be x , So According to question 46 math assignments are graded & 80% are left i.e.
⇒
⇒
⇒
⇒
⇒
⇒
Now , Assignments left to grade is :
⇒
⇒
Therefore , Mrs. Benson has 184 math assignments left to grade.
Answer:
imaginary roots
Step-by-step explanation:
For a quadratic in the form ...
the discriminant is ...
You have a=1, b=-6, c=12, so the discriminant is ...
d = (-6)² -4(1)(12) = 36 -48 = -12
When the discriminant is negative, both roots are complex. When the discriminant is not a perfect square, both roots are irrational. Here, the discriminant is negative and not a perfect square, so the roots are complex with an irrational imaginary part.
The best single descriptor is <em>imaginary root</em>.
_____
The roots are (-b±√d)/(2a) = (6 ± 2i√3)/2 = 3 ± i√3. These roots have a rational real part and an irrational imaginary part. When the number with an imaginary part has a non-zero real part, it is called "complex", rather than "imaginary."