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:
108 months old.
Step-by-step explanation:
Year = 12 months
9 Years = 9 x 12 months
9 years = 108 months.
Answer:
Step-by-step explanation:
<u>Let the number is x, then we have:</u>
- 6x - 19 = 4x + 11
- 6x - 4x = 11 + 19
- 2x = 30
- x = 15
It will be
.. y = -4/3x +c . . . . . for some value of c
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The slope of the perpendicular line will be the negative reciprocal of the slope of the given line, which is 3/4.
