Answer:
<em>x = -2, y = -1</em>
Step-by-step explanation:
<u>System of Equations</u>
Solve the system:
y = 1/2x
y = -x - 3
Multiplying the first equation by 2:
2y = x
Substituting x in the second equation:
y = -2y - 3
Adding 2y:
3y = -3
y = -3/3
y = -1
And x = 2*(-1) = -2
Solution: x = -2, y = -1
Answer:
x is 10.3
Step-by-step explanation:
F(x + 1) = (5/2)*f(x)
f(x + 1) = 2.5*f(x), f(1) = 3.2
f(2) = 2.5f(1) = 2.5*3.2 = 8
<span>f(3) = 2.5f(2) = 2.5*8 = 20
</span>
f(4) = 2.5f(3) = 2.5*20 = 50
<span>f(5) = 2.5f(4) = 2.5*50 = 125</span>
We are tasked to solve the three angles given that we have the measurements of the sides such as
a = Zack to Rachel distance
b = Rachel to Maddie distance
c = Maddie to Zack distance
a =3
b =2.5
c =4
Solving the angles we need to use Law of Cosines:
cos A = 2.5² + 4² -3² /2*2.5*4
A = 48.59°
cos B=3² + 4² - 2.5² / 2*3*4
B = 38.625°
C=180 - 48.59° - 38.625°
C= 92.79°
The three angles are 48.59°,38.63° and 92.79°.