Answer:
i) 3*m*n + 7
Then we can write the first term as:
"3 times the product between two numbers"
Where the product of two numbers is m*n
And after that we need to add 7, then the complete sentence is:
"3 times the product between two numbers, increased by 7"
ii) x*y + (x + y)
The first part, x*y, can be written as:
"the product of two numbers"
where the two numbers are the number x and the number y.
After that, we add the sum of these two numbers, then the complete sentence can be:
"the product of two numbers, plus the sum of these two numbers"
Slope is equal to rise over run. For this question we use 0-6=-6 as the numerator and 9-7=2 as the denominator, thus the slope is -6/2=-3
Answer: option A. 30 °.
Explanation:
1) Draw this triangle: Eyes - Ship A - height of the cliff:
The angle of the vertix where the eyes are is: 90° - depreesion angle = 90° - 60° = 30°.
2) opossite leg = horizontal distance to the ship A = x
3) adjacent leg = height of the cliff = 1500 feet
4) tan(30°) = x / 1500 feet => x = 1500 tan(30°) = 1500 √3 / 3 = 500√3
5) Draw the triangle of the eyes - ship B - hieght of the cliff
6) The unknown is the depression angle of the eyes with ship B, α
7) opposite leg = 500√3 feet + 1000√3 feet = 1500√3 feet
8) adjacent leg = height of the cliff = 1500 feet
9) tan(α) = opposite leg / adjacent leg = 1500√3 / 1500 = √3
10) α = arctan(√3) = 60°
11) Depression angle = 90° - 60° = 30° Which is the answer
If r = -3 and s = 5:
(r^-4)(s^2) = (-3^-4)(5^2) = (1/81)(25) = 25/81
If r = 5 and s = -3:
(r^-4)(s^2) = (5^-4)(3^2) = (1/625)(9) = 9/625
