Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios
Where:
Substitute these in the above equation
Express as fraction
Cross multiply
Open bracket
Rewrite as:
Expand
Factorize
Factor out x + 284
Split
Solve for x
x can't be negative;
So:
Answer:
$17,771.92
Step-by-step explanation:
A = P (1 + r/n)^nt
A = Future value (the answer you're trying to find)
P = Initial deposit ($1000)
R = Interest rate (8.25%; this will be represented as a decimal in the equation (.0825))
N = # of times interest is compounded per unit t (12)
T = Time (35)
35 * 12 = 420
1000 (1 + .0825/12)^420
1000(1.006875)^420
1000*17.77191635
A = $17,771.92 (rounded to the nearest hundredths)
Y and x are the two varibles so 5 and 10 are your contants
Answer:
Yes.
Step-by-step explanation:
3/3 is equal to 1. If you add 3/3 to 2/3, you get 5/3, which means that yes, they are equivalent.
There are 59 integer solutions
Such questions are best solved by writing cases and calculating the total number of cases. So beginning with
1) x = -3. The possible combinations are as follows:-
-3 2 13
-3 3 12
-3 4 11
-3 5 10
-3 6 9
-3 7 8
-3 8 7
-3 9 6
-3 10 5
-3 11 4
10 combinations
2) x = -2
-2 2 12
through
-2 11 3
10 combinations
3) x = -1
-1 2 11
through
-1 10 3
9 combinations
4) x = 0
0 2 10
through
0 9 3
8 combinations
as we can see from the pattern at x =1 we get 7 combinations, at x =2 we get 6 combinations, at x=3 we get 5 combinations and at x =4 we get 5 combinations.
Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.
Learn more about combinations here :
brainly.com/question/13387529
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