Subtract and simplify: (10x4 – 2x + 7) – (6x4 + 2x3 – 4x2 – 1) a. 4x4 – 2x3 + 4x2 – 2x + 6 b. 4x4 + 2x3 – 4x2 – 2x + 8 c. 4x4 – 2x3 + 4x2 – 2x + 8 d. 16x4 + 2x3 + 4x2 – 2x + 8

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions