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:
Total pictures = 84+12 = 96
roll of films = 96 / 24 = 4
she used 4 rolls
The first one is wrong
(do you need help solving it?)
Answer:
each box has 52 in it
Step-by-step explanation:
first you subtract 288 from 548 =260
this is the total number of nails minus the total 1 inch nails
then you divide 260 by 5 because he has five boxes of 2 inch names which means that you have to account for the even number of nails in each box
V=(-5,-4)
to find the vertex you use V=-b/2a
y=-3(x+5)^2-4
which then turns to
y=-3x^2-30x-79
a=-3
b=-30 x=30/2(-3)
x=30/-6
x=-5
plug x into the equation and solve for y =-3(-5)^2-30(-5)-79
y=-4
x=-5 y=-4 Vertex=(-5,-4)
