Answer:
A
Step-by-step explanation:
Let the smaller room have an area of x^2
Let the larger room have an area of (x + 3)^2
(x+3) ^2 + x^2 = 89 Be careful not to make it 89^2.
x^2 + 6x + 9 + x^2 = 89 Expand the binomial squared
2x^2 + 6x + 9 - 89 = 0 Subtract 89 from both sides
2x^2 + 6x + 9 - 89 = 0 Combine
2x^2 + 6x - 90=0 Divide by 2
x^2 + 3x - 45 = 0 This factors.
(x + 9)(x- 5) = 0
X + 9 gives nothing useful
x - 5 = 0
x = 5
x + 3 = 5+3 = 8
So the answer is A
Answer:
<em>24.66 mg</em><em> of medicine will be left.</em>
Step-by-step explanation:
The given exponential equation is,

Where,
A(t) = amount after time t
i = initial amount = 100 mg
r = rate of change = -14% = -0.14 (-ve is taken because the amount is decreasing)
t = time = 10 hours
Putting the values,



Answer: Alternative Hypothesis
Ha : u ≠ 80 inches ( mean not equal to 80 inches)
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean.
While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above, the mean door height is 80 inches
H0 : u = 80 inches
Ha : u ≠ 80 inches ( mean not equal to 80 inches)
Answer:
The answer to your question is 7.8 mi
Step-by-step explanation:
Data
H (4,3)
G (10, 8)
Process
1.- Use the distance between to points formula to find the distance
dHG = 
x1 = 4 y1 = 3
x2 = 10 y2 = 8
2.- Substitution
dHG = 
3.- Simplification
dHG = 
dHG = 
dHG = 
4.- Result
dHG = 7.8 mi