Altitude forms a 30-60-90 (or 1-sqrt(3)-2) triangle. The hypotenuse is the equilateral triangle's side length, 12 centimeters. The altitude is the sqrt(3) side. 12 / sqrt(3) = 6sqrt(3). Therefore the altitude of the triangle is 6 * sqrt(3) centimeters.
Let the 2 numbers be x and y
x+ y = 35
let the larger number be x
3x = 4y
y = 3x/4
so,
x + 3x/4 = 35
7x/4 = 35
x/4 = 5
x = 4*5 = 20
so the larger number is 20.
Answer: In order to find what the coordinates of B are is by trying to know how we got to (-2,0) of line AB. You have to subtract 3 from A coordinate x which is 1,it will give you -2, and you have to subtract 1 from A coordinate y which is 1,it will give you 0.
There are 2,000 pounds in one Ton
So, multiply 2,000 lbs by 8T to get the total number of pounds
2,000 x 8 = 16,000 lbs
16,000 lbs = 8T
Answer:
find gradient/slope
-8-(-5) / -2-(-1) = -3/-1
= 3
y=3x+c
perpendicular line formula
m1(m2)= -1
(sub in the gradient before)
3(m2)= -1
m2= -1/3 ( perpendicular line gradient)
y=-1/3x+c
(sub in the coordinate)
-5=-1/3(-3/2)+c
-5=1/2+c
-11/2=c (y intercept)
answer: y= -1/3x - 11/2
