Answer:
the width is 10 m
Step-by-step explanation:
if the relationship between area and width is
A = 80*w − w²
for an area A=700 m² , we have
700 m² = 80*w − w²
w² - 80*w + 700 m² = 0
aw² + b*w + c = 0
where a=1 , b=-80 and c=700
this quadratic equation has as solution the following formula
w = [-b ± √ ( b² - 4*a*c) ]/(2*a)
replacing values
w = [80 ± √ ( 80² - 4*1*700) ]/(2*1) = (80 ± 60)/2
then
w₁=(80 - 60)/2 = 10 m
w₂ =(80 + 60)/2 = 70 m
since the area has the form A= length * width = 80*w − w² = (80− w)*w
then the length of the rectangle is
length = 80− w
for w₁=10 m → length = 80− 10 = 70 m
for w₁=70 m → length = 80− 70 = 10 m
by definition the shorter side is the width ( and the longer one , the length) , therefore the only possible option is the first one .
Thus the width is 10 m
Answer:
40 more inches of fabric is needed to cover the entire table.
Step-by-step explanation: you add ten inches to every end of the table
(1) 3x+6y-12z=36
(2) x+2y-4z=12
(3) 4x+8y-16z=48
The first equation (1) is the second equation (2) multiplied by 3:
(2) x+2y-4z=12→3(x+2y-4z=12)→3x+6y-12z=36 (1)
The third equation (3) is the second equation (2) multiplied by 4:
(2) x+2y-4z=12→4(x+2y-4z=12)→4x+8y-16z=48 (3)
The equations are linearly dependent, Then the system of equations is dependent, and then consistent too.
A histogram is an image of data that resembles a bar graph and groups several categories into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis. To see how data distribution patterns look, utilize columns.
(a) Use classes with a 2 minute width and a 14 minute starting point to create a histogram of the journey times. Thus, the first lesson lasts between 14 and 16 minutes.
Describe the distribution's shape. What is the average journey time interval?
If a histogram has a bell shape, its center and spread can be used to parsimoniously characterize it. The axis of symmetry is located at the middle. The spread is the separation between the center and a particular point of inflection. The inflection points of the bell-shaped histogram are indicated here.
To learn more about Histogram refer to:
brainly.com/question/25983327
#SPJ13
Answer:
b) 60 is the distance in miles that must be travelled to get to Michael's grandparents' house
Step-by-step explanation:
hello
at the speed of x mph in 1 hour he travels x miles
so in 60/x hour he travels 60 miles
so 60 is the distance in miles that must be travelled to get to Michael's grandparents' house
another way to see it is as below
distance = vitesse * time so
time = distance / vitesse
hope this helps
