If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.
<u>Given the following data:</u>
- Width of rectangle = 6 meters
- Length of rectangle = 8 meters
To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.
Note: The diagonal side of the rectangular pool represents the hypotenuse.
Mathematically, Pythagorean's theorem is given by the formula:
Substituting the given parameters into the formula, we have;
Hypotenuse = 10 meters.
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The first graph is c. c - 7 < 3.
The second graph is a. c + 7 ≤ 3.
The third graph is b. c - 3 > 1.
Let AB = t. And since X lies in the middle, so AX=BX = t/2 .
Let the height of the smaller flagpole is AO and of larger flagpole is BP .
Using tangent ratio rule in each triangle, we will get
And there ratio is
1. Set up the long addition.
2 4 7
+3 5 8
_______
2. Calculate 7+8, which is 15.
since 15 is two-digit, we carry the first digit 1 to the next column.
1
2 4 7
+ 3 5 8
________
5
3. Calculate 4+5, which is 9. Now add the carry digit of 1, which is 10. Since 10 is two-digit, we carry the first digit 1 to the next column.
1 1
2 4 7
+ 3 5 8
________
0 5
4. Calculate 2+3, which is 5. Now add the carry digit of 1, which is 6.
1 1
2 4 7
+3 5 8
______
6 0 5
5. Therefore, 247 + 358 = 605.
605
5x + y = -13.....multiply by -3
4x + 3y = -17
-----------------
-15x - 3y = 39 (result of multiplying by -3)
4x + 3y = -17
-----------------add
-11x = 22
x = -22/11
x = -2
5x + y = -13
5(-2) + y = -13
-10 + y = -13
y = -13 + 10
y = -3
solution (-2,-3)
