Answer:
cos(E)=0.8
Step-by-step explanation:
cos(E)=adjacent/hypotenuse
Using a common pythagorean triple, we can find that side GE is 30 (18^2+24^2=30^2)
Then we just get cos(E)=24/30, which is 0.8
Answer:
B) y = x + 2 and y = -x - 4
Step-by-step explanation:
Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be
![\frac{x}{a} + \frac{y}{b} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Ba%7D%20%20%2B%20%20%5Cfrac%7By%7D%7Bb%7D%20%20%3D%201)
The line with positive slope has x-intercept a=-2 and y-intercept b=2.
Its equation is:
![\frac{x}{ - 2} + \frac{y}{2} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B%20-%202%7D%20%20%2B%20%20%5Cfrac%7By%7D%7B2%7D%20%20%3D%201)
Multiply through by 2
![- x + y = 2](https://tex.z-dn.net/?f=%20-%20x%20%2B%20y%20%3D%202)
Solve for y,
![\boxed {y = x + 2}](https://tex.z-dn.net/?f=%20%5Cboxed%20%7By%20%3D%20x%20%2B%202%7D)
For the line with a negative slope,
the x-intercept is a=-4 and the y-intercept is b=-4
Its equation is
![\frac{x}{ - 4} + \frac{y}{ - 4} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B%20-%204%7D%20%20%2B%20%20%5Cfrac%7By%7D%7B%20-%204%7D%20%20%3D%201)
Multiply through by -4
![x + y = - 4](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%20%20-%204)
Solve for y
![\boxed {y = - x - 4}](https://tex.z-dn.net/?f=%20%5Cboxed%20%7By%20%3D%20%20-%20x%20-%204%7D)
Answer:
y ≥−3
Step-by-step explanation:
1 By inspecting the graph, the range is:
y\ge -3y≥−3
Done
Answer:
the answer is a
Step-by-step explanation: