Answer: 2.11cm
Step-by-step explanation:
Given the following :
The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm
The area of trapezoid is calculated using the formula:
1/2(a + b) × h
Where ;
a = Length of side 1
b = length of side 2
h = height
Take a = (2z + 3) and b = (6z – 1), h = z
Therefore ;
1/2 (2z + 3 + 6z - 1) × z
Opening the bracket
(z + 1.5 + 3z - 0.5) × z
(4z + 1 ) × z = 20cm^2
4z^2 + z = 20cm^2
Using Quadratic formula:
4z^2 + z - 20 = 0
a = 4, b = 1, c = - 20
(-b±√b^2 -4ac) / 2a
Z = 2.11 or - 2.364
z cannot be negative, therefore,
Z = 2.11 cm
Answer:
-5 is the slope and -6 is the y intercept
Step-by-step explanation:
This is in the form
y =mx+b where m is the slope and b is the y intercept
y = -5x -6
-5 is the slope and -6 is the y intercept
Answer:
A
Step-by-step explanation:
The additive inverse property states that if we have a number a, then:

Here, we have the equation:

And we divide both sides by 2:

To acquire:

So, we did <em>not</em> use the additive inverse property since we didn't add anything.
Instead, we used the<em> division property of equality</em> by dividing both sides by 2.
So, our answer is A.
And we're done!