Line y = 4/9 x - 2 has a slope of 4/9.
For perpendicular lines, the ploduct of the two slopes is -1. Thus the slope of the required line is -1/(4/9) = -9/4
Equation of a line is given by y - y1 = m(x - x1)
y - 3 = -9/4(x - 4)
y - 3 = -9/4 x + 9
y = -9/4 x + 9 + 3
y = -9/4 x + 12.
Answer:
10:17
Step-by-step explanation:
The number of apples in the fridge is 10
The total number of apples is 17 (10+7)
The question is asking for the ratio of apples in the fridge to all of the apples
So, The ratio would be 10:17
Hope this helps!
Answer:
$356
Step-by-step explanation:
So if they are 400 students we need to:
0.89*400=$356
To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder:

where

is the volume

is the radius

is the height
We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words:

. We also know that the radius is r cm and height is h cm, so

and

. Lets replace the values in our formula:





Next, we are going to use the formula for the area of a cylinder:

where

is the area

is the radius

is the height
We know from our previous calculation that

, so lets replace that value in our area formula:



By the commutative property of addition, we can conclude that: