9514 1404 393
Answer:
(3, 1)
Step-by-step explanation:
We assume you want the solution to the system ...
The second equation gives a nice expression for x, so we can use that in the first equation.
2(y+2) -3y = 3 . . . . substitute for x in the first equation
2y +4 -3y = 3 . . . . . eliminate parentheses
-y = -1 . . . . . . . . . . . collect terms, subtract 4
y = 1 . . . . . . . . . . . . multiply by -1
x = 1 +2 = 3 . . . . . . substitute for y in the second equation
The solution is (x, y) = (3, 1).
Answer:
A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2
Step-by-step explanation:
<u>Step 1: Determine the sides</u>
A → 3 ft
B → 7 ft
C → 4 ft
D → 5 ft
<u>Step 2: Determine the surface area</u>
Area of the sides
Area of the top and bottom triangles
Total Area
Answer: A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2
9514 1404 393
Answer:
11
Step-by-step explanation:
The future value of the account is given by the formula ...
A = P(1 +r/12)^(12t) . . . . principal P invested at rate r for t years
Solving for t, we find ...
A/P = (1 +r/12)^(12t) . . . . . . . . . . . divide by P
log(A/P) = 12t·log(1 +r/12) . . . . . . take logs
Divide by the coefficient of t, then fill in the numbers.
t = log(A/P)/(12·log(1 +r/12)) = log(202800/93000)/(12·log(1 +.068/12))
t ≈ 11.497
It will take about 11 years for the account balance to reach the desired amount.
We know that :
Ф Product of the slopes of two lines perpendicular to each other should be equal to -1
Let the slope of the line perpendicular to given line be : M
Given equation of the line : y = -1/2x + 4
This line is in the form : y = mx + c, where m is the slope and c is the y intercept
Comparing with y = mx + c :
we can notice that slope of the given line is -1/2
⇒ M × -1/2 = -1
⇒ M × 1/2 = 1
⇒ M = 2
<u>Answer</u> : Slope of the line perpendicular to given line is 2
Answer:
<h2>-1 is the right answer.</h2>
