Answer: NEITHER
Step-by-step explanation:
From the equation of lines given above, to know if relationships exist between the two lines, we must first determine that from their gradients or slopes.
From first equation
2x - y = 5,
y = 2x - 5
Therefore, m₁ = 2
From the second equation
3x - y = 5
y = 3x - 5
Therefore m₂ = 3
Recall, For the two lines to be parallel, m₁ = m₂ , and for the two line to be perpendicular, m₁m₂ = -1
since none fulfilled the conditions stated above, the answer then is
NEITHER
26&27
Start by writing out the equation which would be: 106=2(n+n+1)
N: fist integer
N+1: is the consecutive integer
Then solve:
106=2(2n+1). Combine.
106=4n+2. Distribute.
104=4n. Move whole numbers to the left.
N=26. Divide
N+1=27 Plug in for second integer
Yes,<span>the famous </span>geometric construction<span> </span><span> a pair of compasses, an unmarked ruler, and (of course!) a pencil and an </span>eraser<span>.</span>
Answer:
x<-8 or x>1/5
Step-by-step explanation:
![\frac{x+8}{5x-1} >0](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B8%7D%7B5x-1%7D%20%3E0)
First we replace > symbol by = sign
![\frac{x+8}{5x-1} =0](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B8%7D%7B5x-1%7D%20%3D0)
To solve for x we multiply 5x-1 on both sides
x+8 =0
x=-8
5x-1=0 solve for x
x= 1/5
WE got two values x=-8 and x= 1/5
Now we make a number line and check with each interval
x<-8, -8<x<1/5, x>1/5
Pick x= -9 and check with the given inequality
![\frac{-9+8}{5(-9)-1} >0](https://tex.z-dn.net/?f=%5Cfrac%7B-9%2B8%7D%7B5%28-9%29-1%7D%20%3E0)
1/46 >0 is true, so x<-8 satisfies our inequality
Pick x= 0 and check with the given inequality
![\frac{0+8}{5(0)-1} >0](https://tex.z-dn.net/?f=%5Cfrac%7B0%2B8%7D%7B5%280%29-1%7D%20%3E0)
-8 >0 is false , -8<x<1/5 does not satifies our inequality
Pick x= 2 and check with the given inequality
![\frac{2+8}{5(2)-1} >0](https://tex.z-dn.net/?f=%5Cfrac%7B2%2B8%7D%7B5%282%29-1%7D%20%3E0)
10/9>0 is true , x>1/5 satisfies our inequality
Answer:
Intersecting arcs are created and connected.
Copy an angle by creating arcs with a compass