First find the slope:
y-y/x-x
5-0/0-(-10
5/+10
slope: 1/2
then use:
y-5. 1
--- = ---
x-0. 2
cross multiply.
2 (y-5)=1 (x-0)
2y-10=x
move the ten to the other side, switch the sign
2y=x+10
divide by 2
y=1/2x+5
final answer is
y=1/2x+5
Step-by-step explanation:
a general line equation is
y = ax + b
the original line is
y = 3/5 x + 10
the factor of x is always the slope (inclination of the line).
it is "y change/x change".
the slope of a perpendicular line (angle of 90°) is turning the slope of the original line upside-down and flips the sign.
so, it is -5/3.
we use the point information to get the right "b" for our new line :
-5 = -5/3 × 15 + b
-5 = -5×5 + b
-5 = -25 + b
b = 20
so, the perpendicular line equation going through (15, -5) is
y = -5/3 x + 20
Answer:
the common ratio is 3
Step-by-step explanation:
to solve for the common ratio, I like to take the second term and divide it by the first term
15/5 = 3
then I will check the rest of the terms
15*3 = 45
45*3 = 135
It looks like the common ratio is correct!
Jordan has to work 2.3 hours to have enough money for the video game.
Answer:
3854ft
Step-by-step explanation:
By assuming that the cable is not doubled.
in order to find the length of the base of the mountain
tan74°=3400/x
x= 3400/tan74°
x≈ 975ft
Therefore, the length of the cable equals to
=
length≈ 3854ft
Thus, the shortest length of cable needed is 3854ft
