Answer:
Gabrielle is 69 while Mikhail is 23.
Step-by-step explanation:
Let G represent Gabrielle's age and M represent Mikhail's age.
Gabrielle is three times Mikhail's age. In other words:
The sum of their ages is 92. In other words:
This is a system of equations. Solve. Substitute in G:
Thus, Mikhail is 23. Now, find Gabrielle's age:
Gabrielle is 69.
Answer:
x = 6
y = -1
Step-by-step explanation:
-2x + 5y = -17 ------ equation 1
3x- 10y = 28 ------- equation 2
equation 1× 2
-4x + 10y = -34 ------- equation 3
equation 2 + equation 3
-x = -6
x = 6
x = 6 substitute for equation 1
-12 + 5y = -17
5y = -5
y = -1
One way is to factor and group and get every 3
729=3 times 3 times 3 times 3 times 3 times 3
so we group the ones that happen 3 times
729=(3*3*3) times (3*3*3)
we know that we can take the cube root of each group and multiply the result
729=
![( \sqrt[3]{3*3*3})( \sqrt[3]{3*3*3})](https://tex.z-dn.net/?f=%28%20%5Csqrt%5B3%5D%7B3%2A3%2A3%7D%29%28%20%5Csqrt%5B3%5D%7B3%2A3%2A3%7D%29)
=(3)(3)=9
the answer is 9
9514 1404 393
Answer:
1. (a) -√5
2. 3/5
Step-by-step explanation:
1. sec²(θ) = tan²(θ) +1
sec²(θ) = (-2)² + 1 = 5
sec(θ) = ±√5
In the second quadrant, secant is negative, so ...
sec(θ) = -√5
__
2. cos(θ) = 1/sec(θ)
cos(θ) = 1/(5/3)
cos(θ) = 3/5
