2y+4x=12
Move 4x to the other side as a negative number
2y=-4x+12
Divide all terms by 2
y=-2x+6
Now, in order for two lines to be perpendicular, their gradients have to multiply obeyed to get -1 (let a be the gradient of the given line and let b be the gradient of the line we're trying to find)
So, we do -2*b=-1
so, b is equal to 1/2
Now, we are given a coordinate so we substitute it in y-y1=m(x-x1)
y-1=1/2(x-8)
Expand brackets
y-1= 1/2x-4
Take -1 to the other side as a positive number
y=1/2x-3
So, the equation of the line is y=1/2x-3
Round to the nearest whole number:
a) 14 ⇒ 13.5 ; 13.9 ; 14.1 ; 14.4
b) 28 ⇒ 27.5 ; 27.9 ; 28.1 ; 28.4
c) 32 ⇒ 31.5 ; 31.9 ; 32.1 ; 32.4
d) 50 ⇒ 49.5 ; 49.9 ; 50.1 ; 50.4
e) 67 ⇒ 66.5 ; 66.9 ; 67.1 ; 67.4
f) 71 ⇒ 70.5; 70.9 ; 71.1 ; 71.4
g) 88 ⇒ 87.5; 87.9 ; 88.1 ; 88.4
h) 95 ⇒ 94.5; 94.9 ; 95.1 ; 95.4
If the following number is within the range of 1 to 4 then round down.
If the following number is within the range of 5 to 9 then round up.
Answer:
It's -5 + 3 basicaly because 2 negatives is one positive. So the answer is -2.
Answer:
Area of regular pentagon is 238.95 square inches.
Step-by-step explanation:
Given a regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.
we know a regular polygon divides into 5 congruent triangles.
Side of pentagon i.e base of one triangle is 11.8 inches.
Also, distance from center to middle of side which is height of triangle is 8.1 inches.
Area of 1 triangle= 
= 
= 47.79 sq inches.
Area of regular pentagon=area of 5 congruent triangles= 
=238.95 sq inches.
Answer: The z-score = 2.46
Step-by-step explanation:
Given: sample size : n= 10
Population mean : 
population standard deviation : 
Sample mean : 
Formula to calculate z :
Substitute all values, we get
Hence, the z-score = 2.46
