Answer:
<h2>5</h2>
Step-by-step explanation:
If point T is on the line SU, then ST+TU = SU. Given TU=4x+1, SU=8, and ST=3x
Substituting the given values into the expression ST+TU = SU
8 = 3x+4x+1
8 = 7x+1
collect like terms;
7x = 8-1
7x = 7
Divide through by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the expression TU = 4x+1 to get the length of TU
TU = 4(1)+1
TU = 4+1
TU = 5
<em>Hence the length of TU is 5</em>
Hey there!
To start, you must use the distance formula which is
.
x1 and x2 are the x coordinates of the points (it does not matter which one you assign to be x1 and x2) and y1 and y2 are the y coordinates (also does not matter which one you assign to be y1 and y2).
Now, set up your formula and simplify:


=
≈ 25.0799
Answer:
I NOT 100% SURE BUT I THINK ITS .B)
Step-by-step explanation:
Answer:
3, 7, 11, 15, 19, 23, 27,.......
Step-by-step explanation:
Let the first term and the common difference of the AP be a and d respectively.
Therefore,
a + (7- 1) d = 27
a + 6d = 27
a = 27 - 6d...... (1)
Therefore,
a + (12 - 1) d = 47
a + 11d = 47......(2)
From equations (1) & (2)
27 - 6d + 11d = 47
24 + 5d = 47
5d = 47 - 27
5d = 20
d = 20/5
d = 4
Plug d = 4 in equation (1) we find:
a = 27 - 6*4
a = 27 - 24
a = 3
Therefore,
Thus, the sequence is: 3, 7, 11, 15, 19, 23, 27,.......