The solution for the given system of equations (x,y) is (-1/2, -5/2).
<u>Step-by-step explanation:</u>
The given system of equations are :
x - y = 2 ------(1)
x + y = -3 -------(2)
To solve the system of equations, you can use elimination method.
In this method, the first step is followed by adding both the equations.
x - y = 2
(+) <u>x + y = -3 </u>
<u>2x = -1 </u>
⇒ 2x = -1
divide by 2 on both side, to get x value.
⇒ x = -1/2
The value of x is -1/2
The second step is to substitute x = -1/2 in any of the two equations.
Put x = -1/2 in equation (1),
⇒ -1/2 -y = 2
Cross multiply the denominator 2 on both sides,
⇒ -1-2y =4
Add 1 on both sides,
⇒ -2y = 4 + 1
⇒ -2y = 5
Divide by -2 on both sides,
⇒ y = -5/2
The value of y is -5/2
The solution to the system of equations is be given by (x,y).
Therefore, the solution is (-1/2, -5/2).
The distance covered by the hiker if he traveled a horizontal distance of 120 ft at and angle of 6° will be given by:
cos θ=adjacent/hypotenuse
let the hypotenuse be h, adjacent =120 ft, θ=6°, thus plugging in the values we shall have:
cos 6=120/h
h=120/cos 6
h=120.661 ft
Answer: 120.661 ft
Answer:
The last graph (to the far right).
Step-by-step explanation:
As long as each x-value has one y-value, it is a function. However, the last graph has an x-value at -1 where there are two y-values. So, it does not pass the Vertical Line Test, and it is a relation rather than a function.
Hope this helps!
<h3>The two lines intersect at (4,8)</h3>
Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)
Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)
Put this together to get the answer (x,y) = (4,8)