4x-2y=8 ==> y=2x-4 (to better show you what I mean)
2 lines are parallel if they have the same slope (m the coefficient of x).
So y=mx + b // y =2x-4 means m=2 & y=mx + b, becomes y=2x + b.
Moreover they are telling us that this function passes by (-2,1), where -2 represents x & 1, represents y. To calculate b , replace x & y by their values:
y=2x+b ==> 1 = 2(- 2) + b==> 1 = -4 + b ==> b= 5. Finally the equation is
y=-2x+5
C more than 5 as an algebraic expression c>5
Answer:
y = -2x + 6
Step-by-step explanation:
y=mx + c
m is the gradient and c is the y intercept
m = (y 2 - y 1) / (x 2 - x 1) = (2-4) / ( 2-1) = -2
y= -2x + c
To find c, just sub one of the coordinates into the eqn:
By using the coordinates (1,4)
4 = -2(1) + c
c = 6
Therefore, the equation is y = -2x + 6
A)106°- angle at the centre is half of the angle at the circumference
b)74°- when a tangent meets a radius a right angle is created(90+90+106)= 286 360-286= 74°
Answer:
x=-9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−6(x+1)−18=26+4
(−6)(x)+(−6)(1)+−18=26+4(Distribute)
−6x+−6+−18=26+4
(−6x)+(−6+−18)=(26+4)(Combine Like Terms)
−6x+−24=30
−6x−24=30
Step 2: Add 24 to both sides.
−6x−24+24=30+24
−6x=54
Step 3: Divide both sides by -6.
−6x
−6
=
54
−6
x=−9
Answer:
x=−9
