The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

z² - 2z - 35 = -2z + 1
z² - 2z - 35 - 1 = -2z
z² - 2z + 2z - 36 = 0
z² - 36 = 0

Next, factor the quadratic equation:

z² - 36 = 0
(z - 6)(z + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 6) or (z + 6) must equal zero:

If (z - 6) = 0, z must equal 6
If (z + 6) = 0, z must equal -6

So the solution is that z = 6 or -6

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(6 + 5)(2)
a = ½(11)(2)
a = ½(22) = \( \frac{22}{2} \)
a = 11

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 1² + 4²
c² = 1 + 16
c² = 17
c = \( \sqrt{17} \)

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.