Step-by-step explanation:
let the numbers x and y
so x + y =13
x - y = 5
add two equations together
2x = 18
divide both side by 2
x = 9
sub in any equation
9 + y =13
y = 4
the numbers are 9 and 4
Answer:
sir the picture is black
Step-by-step explanation:
Answer:
the Largest shed dimension is 13.5 ft by 13.5 ft
Largest Area is 182.25 ft²
Step-by-step explanation:
Given that;
Perimeter = 54 ft
P = 2( L + B ) = 54ft
L + B = 54/2
L + B = 27 ft
B = 27 - L ------------Let this be equation 1
Area A = L × B
from equ 1, B = 27 - L
Area A = L × ( 27 - L)
A = 27L - L²
for Maxima or Minima
dA/dL = 0
27 - 2L = 0
27 = 2L
L = 13.5 ft
Now, d²A/dL² = -2 < 0
That is, area is maximum at L = 13.5 using second derivative test
B = 27 - L
we substitute vale of L
B = 27 - 13.5 = 13.5 ft
Therefore the Largest shed dimension = 13.5 ft by 13.5 ft
Largest Area = 13.5 × 13.5 = 182.25 ft²
Answer:
3rd Option and 4th Option
Step-by-step explanation:
Note: The options to the question is attached as picture below
<u>1st case</u>
Initial deposit (P) = 500
Annual interest rare (r) = 2.5%
Account balance after x years, y = P(1+r/100)×
y = 500(1+2.5/100)×
y = 500(1+0.025)×
y = 500(1.025)× ----- 3rd option
<u>2nd case</u>
Initial deposit (P) = 400
Annual interest rare (r) = 2%
Account balance after x years, y = P(1+r/100)×
y = 400(1+2/100)×
y = 400(1+0.02)×
y = 400(1.02)× ---- 4th option
Answer:
c = 6
Step-by-step explanation:
- Subtract 5 from both sides. This is to cancel out the + 5. You have 3c = 18
- Divide both sides by 3. 18/3 = 6, so c = 6.