-27 - (-3) = -27 + 3 = - 24
560 - 2(25 + 11) = 560 - 2(36) = 560 - 72 = 488
8y - x^2....x = -5, y = 4
8(4) - (-5)^2 =
32 + 5^2 =
32 + 25 =
57
Answer:
The equation that represents the line passing through the point (2, -4) with a slope of one half is

Step-by-step explanation:
The equation of a line can be described by a first order equation in the following format:

In which a is the slope of the line.
Solution:
The line slope is
, so
.
The equation of the line now is:

The problem states that the line passes through the point(2,-4). This means that when x = 2, f(x) = -4
So:




So, the equation that represents the line passing through the point (2, -4) with a slope of one half is

Find the length of the radius.

Find the length of the diameter.
d = 2r = 2 × 5√2 = 10√2
Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)
The distance from B(x, y) to C(3, 5) is 5√2.

Solve system of equations.


Point B could have coordinates

But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).
Answer:
Ben
Step-by-step explanation:
Corinne is slower
Answer:
Tn = 3n-1
T6 = 17
Step-by-step explanation:
Given the arithmetic sequence;
2, 5...
first term a = 2
Common difference d = 5-2 = 3
nth term of an AP is expressed as Tn = a + (n-1)d
Tn = 2 + (n-1)(3)
Tn = 2 + 3n-3
Tn = 3n-1
Get the 6th term
T6 = 3(6)-1
T6 = 18-1
T6 = 17
Hence the 6th term of the sequence is 17