I think it would be easier to covert the fractions to decimals here
-1.2 * 1 1/5 / 3/10
= -1.2 * 1.2 / 0.3
= -1.44 / 0.3
= - 4.8 answer
Answer:
y = 3/4x
Step-by-step explanation:
We need to find the slope of the line
We have point (0,0) and point (4,3)
m = (y2-y1)/(x2-x1)
= (3-0)/(4-0)
=3/4
The y intercept is 0 since it crosses the y axis at 0
The slope intercept form of the line is
y = mx+b
y = 3/4x +0
y = 3/4x
Step-by-step explanation:
Let x represent the number.
We have 2x + 18 = 3x - 5, therefore x = 23.
The number is 23.
Two lines are perpendicular if and only if the product of their slopes is - 1.
So, you just need to find the slope of each line and find out the product of their slopes.
I will do one example for you.
L1: y = 3x + 5
L2: y = - 3x + 14
L3: y = -x/3 + 14
The slope of a line is the coefficient of the x.
So the slopes are:
L1: slope 3
L2: slope -3
L3: slope -1/3
So now multiply the slopes of each pair of lines:
L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular
L2 and L3: (-3) * (-1/3) = 1 => No, they are not perpendicular
L1 and L3: (3) * (-1/3) = -1 => Yes, they are penpendicular.
Answer:
Check the explanation
Step-by-step explanation:
Y = 11.5 + 4.5*X1 -2.5*X2 +0.7*X3+1.6*X4 -2.4*X5 -2.8*X6
FOR JANE
X1 =1 , X2 =1 , X3 =5 , X4 =0 ,X5=0, X6=1
SO,
Y =11.5+(4.5*1)-(2.5*1)+(0.7*5)+0+0-(2.8*1)
= 14.2
..........................
FOR Sophie
X1 =1 , X2 =1 , X3 =10 , X4 =1 ,X5=0, X6=0
so,
Y =11.5+(4.5*1)-(2.5*1)+(0.7*10)+ (1.6*1)+0+0
= 22.1
