An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.

You need to find the value of a so solve the first equation in terms of z:

2a + z = -2
z = -2 - 2a

then substitute the result (-2 - 2a) into the second equation:

-7a + 2(-2 - 2a) = 1
-7a + (2 x -2) + (2 x -2a) = 1
-7a - 4 - 4a = 1
-7a - 4a = 1 + 4
-11a = 5
a = \( \frac{5}{-11} \)
a = -\(\frac{5}{11}\)

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 3 x 1 = \( \frac{3}{2} \) = 1\(\frac{1}{2}\)

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z² - 5z - 6 = 0
(z + 1)(z - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z - 6) must equal zero:

If (z + 1) = 0, z must equal -1
If (z - 6) = 0, z must equal 6

So the solution is that z = -1 or 6

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).