comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as
so substituting the value of m in to the equation
=
as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0
Answer:
3/9
Step-by-step explanation:
15/45
divide both sides by a factor of each number; I'll be using 5.
3/9
It didn't have to be 5, I could have used 3, but in that case It wouldn't have been it's simplest form and I would have to divide again by another factor.
Answer:
I am think so opction (C).....
Answer:
Missing side=25 units.
Area of the figure= 470 sq units.
Step-by-step explanation:
The figure is made up of a rectangle and a triangle.
To get the base of the triangle, we find the difference between the two parallel sides, that is, 16ft and 31 ft.
31ft-16ft=15ft
The height of the triangle is 20 since it is parallel and equal to the length of the rectangle.
We therefore use pythagoras theorem to find ?
a²+b²=c²
15²+20²=c²
625=c²
c=25
ii. The figure is a trapezium therefore we use the following formula to find the area.
A= 1/2(a+b)h, where a and b are the two parallel sides. and h the distance between them.
=(1/2)(31+16)×20
=470 sq units
The formula for circumference is 2 x PI x r
Using the circumference we can find the radius:
50.24 = 2 x PI x r
Multiply 2 by PI:
2 x 3.14 = 6.28
50.24 = 6.28 x r
Divide both sides by 6.28:
R = 50.24 / 6.28
R = 8
The radius is 8 units.
