1, 4, 6, and 7 are all alternate exterior angles because they are crossed by the transversal line through the middle and they are all on the outside, or exterior, and they are alternate, or opposite. they would be congruent only if they are parallel.
-hope this helps
a) The equation of axis is the middle y-coordinate, which is y = -1.5.
b) The period is the amount of time it takes for the graph to repeat, which is 6.
c) The amplitude is the vertical distance from an extreme point to the midpoint, which is 3.
d) This is a cosine graph since when x=0, y is not equal to 0.
The slope of any line on the x-y plane is expressed as the rise divided by the run - the "rise" here is the change in the y coordinate, and the "run" is the change in the x coordinate. Given -4 and 8 as your y coordinates in this problem, and 3 and -1 as your x coordinates, how can you find the change - or difference - in each? Once you have those, you'll just need to put the
6/5<13/10
6/5=120/100
6/5>11/10
(6/5 =12/10)
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).
