Answer:
5 units
Step-by-step explanation:
3x + 4y = 8
4y = -3x+8
y = -3/4+2
The shortest distance between a point and a line is the perpendicular line.
Slope of the perpendicular line: 4/3 and point (-3,-2)
b = -2-(4/3)(-3) = 2
Equation of the perpendicular line: y=4/3x+2
y is equal y
4/3x+2= -3/4x+2
4/3x +3/4x = 2-2
x = 0
Plug x=0 into one of the equations to find y
y = 4/3(0) + 2
y = 2
(0,2) and (-3,-2)
Distance = sqrt [(-3-0)^2 + (-2-2)^2]
Sqrt (-3)^2+ (-4)^2
Sqrt 25 = 5
Answer:
Volume of the sphere is 
Step-by-step explanation:
It is given diameter of the sphere d = 6 cm = 0.06 m
Radius of the sphere
We know that volume of the sphere is given by
Therefore ,
Therefore volume of the sphere is
Answer:
He spends 36$
Step-by-step explanation:
Multiply 3.00 by 12 months. You will get 36.00 Hope this helps, let me know if correct, and have a great day!!
So 2.25 is 50% of the original price
let's write original price as x
50% of x = 2.25
0.5 * x = 2.25
divide both sides by 0.5
x = 4.5
The original price is 4.5
To check:
50% * (4.5) =?= 2.25
0.5 * 4.5 =?= 2.25
2.25 = 2.25
Hope this helps.
Set up a triangle with the ladder being the hypotenuse the wall being one side and the distance away being the other side. Now use pythagorean theorem a^2+b^2=c^2
4^2+15^2=c^2
16+225=c^2
241=c^2
C=15.52 now round
C=15.5 feet
