What lines are perpendicular to 2x-7y=-25

Step-by-step explanation:

Given the line 2x-7y = -25

First let us get the slope of the line:

Rewrite the equation in the form y = mx+c

2x-7y = -25

-7y = -2x-25

y = -2x/-7-25/-7

y = 2/7 x +25/7

The slope of the line is 2/7

Ffor two lines to be perpendicular, the product of their slope must be -1

mM = -1

m(2/7)= -1

2m = -7

m = -7/2

Hence the lines perpendicular to the given line must be a line that has a slope of -7/2. Since we are not given option, we can say example of such line is y = -7/2 x + 15

The eight term is,  

Step-by-step explanation:

Arithmetic sequence states that a sequence of numbers such that the common difference between any two succeeding numbers is a constant (d).

The formula for nth term is given by:

where a is the first term , d is the common difference and n is the number of terms.

To find the eighth term(i.e, in the arithmetic sequence defined by

Explicit formula :             .....[1]

Substitute n = 8 in equation [1] we have;

Simplify:

Therefore, the eighth term in the arithmetic sequence defined by the explicit formula is;