Answer:
Step-by-step explanation:
<u>Given system</u>
- 4x + 6y = 18
- (y + 2) = 1/3(x + 2)
<u>Solution is the intersection point:</u>
<u>Simplify the first equation:</u>
- 2x + 3y = 9
- 3y = -2x + 9
- y = -2/3x + 3
<u>Check:</u>
- 1/9 = -2/3*4 1/3 + 9
- 1/9 = -26/9 + 9
- 1/9 = (27 - 26)/9
- 1/9 = 1/9
<u>Simplify the second equation:</u>
- y + 2 = 1/3x + 2/3
- y = 1/3x + 2/3 - 2
- y = 1/3x - 4/3
<u>Check</u>:
- 1/9 = 1/3*13/3 - 4/3
- 1/9 = (13 - 12)/9
- 1/9 = 1/9
Answer:
CD = 7
Step-by-step explanation:
Since D is on the line segment CE then
CE = CD + DE , substitute values
2x = x + 7 ( subtract x from both sides )
x = 7
Thus
CD = x = 7
Maybe if you need to measure a piece of clothing
Since they want the unit of volume to be cm^3, first we have to convert the values given from inch into cm
=> 12 in = 30.48cm
4 in = 10.16cm
14 in = 35.56cm
Since both of the figures are cylinders, we have to find them one by one
Find the volume of the upper cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 30.48cm/2 = 15.24cm
height = 30.48cm
We get V=3*(15.24)^2*30.48=21237.6cm^3
Find the volume of lower cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 35.56cm/2 = 17.78cm
height = 10.16cm
We get
V = 3*(17.78)^2*10.16 = 9635.6cm^3
Therefore, the volume of the object is
V = 21237.6cm^3 + 9635.6cm^3
= 30873.2cm^3.
Answer:
Ratio of the first six months of the year to the year to the last six months of the year in simplest form = (153/200)
Step by step Explanation:
we are told to calculate the ratio of the first six months of the year but we know that the net income for the first six months of the years wa given as $76,500 also net income for the first six months of the years was given as $100,000
and we are told to calculate the ratio of the first six months of the year.
CHECK THE ATTACHMENT FOR DELTA LED EXPLANATION