Answer:
Last option: x = -5
Step-by-step explanation:
-3x + 25 = 40
-3x = 40 - 25
-3x = 15
3x = -15
x = -5
Let's solve your equation step-by-step.
Step 1: Add 5 to both sides.
Step 2: Solve Exponent to get.
d = −4.054522 or -4.05 hope this helps
Answer:
b.
Step-by-step explanation:
To figure this out, you just need to fold those nets in your head and see if the edges line up and it forms the figure you want it to. From what I can tell, net b is the only one that would form a rectangular prism.
EK=6, KF=6
By the Pythagorean theorem
EF≈8,48≈8
Answer: 8 units
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P.S. Hello from Russia :^)
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
