Hey there!!
The value of the numbers or the variables in a mod is always positive.
The ultimate value for the above given equation is -5
As the answer is negative, the mod has no solutions.
Hence, the answer is no solutions , option ( b )
Hope my answer helps!
-x+4y=8: Parallel
4x+y=-1: Perpendicular
y=-1/4x+6: neither
y=-4x-3: Perpendicular
Answer:
x=9
Step-by-step explanation:
4(x-2)=2x+10
<=> 4x-8=2x+10
<=> 2x=18
<=>x=9
Answer:
4.5 units
Step-by-step explanation:
The formula given is used to calculate the length of a segment given the coordinates of the endpoints.
let (x₁, y₁ ) = A(-1, 1) and (x₂, y₂ ) = (3,3), then
AB =
= 
=
=
≈ 4.5 ( nearest tenth )
Answer:
C. 28 = (2x - 1)(x)
Step-by-step explanation:
Given :
There is a rectangular swimming pool.
Width of swimming pool is x
Length is one less than twice the width
Area of the swimming pool is 28 sq ft.
To Find : Equation could be used to model the area of the swimming pool.
Solution:
Since we are given that Length is one less than twice the width.
And width is x (given)
So, length = 2x-1
Area of the swimming pool is 28 sq ft.
Now ,
Formula of area of rectangle : Length*Width
⇒28= (2x-1)(x)
So, equation used to model the area of the swimming pool: 28= (2x-1)(x)
Hence Option c is correct.