To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a⁸ + 9a⁸ = 12a⁸

You need to find the value of b so solve the first equation in terms of y:

5b + y = -4
y = -4 - 5b

then substitute the result (-4 - 5b) into the second equation:

5b + 2(-4 - 5b) = 1
5b + (2 x -4) + (2 x -5b) = 1
5b - 8 - 10b = 1
5b - 10b = 1 + 8
-5b = 9
b = \( \frac{9}{-5} \)
b = -1\(\frac{4}{5}\)

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

6a³ - 7a³ = -1a³

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).