If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.
Solution:
h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13
The present distance of the boat from the port is 13 miles.
So, put your "x's" together first and then your intercepts. That should answer your question :)
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
27202 - 3489 you can't do 2-9 so you cross out the 0 next to it and put it into a 10 and then turn your to into a 12 so 12 - 9 is 3 then since you have your 0 turned into 10 you do 10-8 you would you get 2 then you can't do 2-4 so we got the cross out your 7 next to it and turn that into a 6 then change 2 into 12 and then do 12 - 4 equals 8 then since you changed your 7
into a 6 6-3 would you get three and then you do 2-0 because there is no number there and you put down 23823 so 23823 is your answer
