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:
17 divided by 3, the quotient is 5
Step-by-step explanation:because 3x5 is 15 and you cannot go furhter than that.
Answer:
Quadrant 1
Step-by-step explanation:
The co-ordinates given match up exactly to co-ordinate 1 due to all the numbers given being positive.
There are 4 quadrants. Quadrant 1, 2, 3, and 4.
Answer:
Step-by-step explanation:
two step equation
n - 5/2 = 5
n = 5 + 5/2
n = 5 + 2.5
n = 7.5
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check
7.5 - 5/2 = 5
7.5 - 2.5 = 5
5 = 5
the answer is good
Y=Mx +b
B is 0 because that’s where the graph intercepts the y axis.
M is found by picking any two points and finding the rise and run because m is equal rise/run
Points of choice: (-2,4) and (2,-4)
=2−1/2−1 = -8/4
m is equal -2
Y= -2X
Look at the picture below to differentiate between positive and negative slopes.