(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1
-4x - 6y = -24
4x - 3y = 6
You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2
Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3
Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!
4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
The amount of water needed to fill the swimming pool completely is 864 cubic meters.
Given that each of the four sides of a swimming pool measures 12 m the pool is 6 m deep.
"Volume" is a mathematical quantity that indicates the amount of three-dimensional space occupied by an object or surrounding surface. Volume units are cubic units like m³, cm³, in³, etc.
As we know, the swimming pool is in cubic shape.
So, we will find the volume of cube using the formula V=l×b×h.
Here, l=12m, b=12m and h=m.
Now, we want to substitute the values in the formula, we get
V=12m×12m×6m
V=864m³
Hence, the amount of water needed to fill completely the swimming pool whose each of the four sides of a swimming pool measures 12 m the pool is 6 m deep is 864 cubic meters.
Learn more about the volume of cube from here brainly.com/question/1972490
#SPJ9
Answer:
5 units
Step-by-step explanation;
We can use the formula for finding the length or magnitude of line joining two points.
Length = √((x2-x1)² + (y2-y1)²)
The points joining the line are C (-1,4) and D (2,0)
Length = √((2+1)² + (0-4)²)
= √((3²) + (-4)²)
= √ (9+16)
= √25
= 5 units
Answer:
a = 93°, b = 120°, c = 150°
Step-by-step explanation:
b + 36 = 78 × 2 => b + 36 = 156 => b = 120°
87 × 2 - b = the minor arc between a and 78
=> 174 - 120 = 54
54 + b + 36 + c = 360
=> 54 + 120 + 36 + c = 360
=> c = 150°
(c + 36) ÷ 2 = a
=> (150 + 36) ÷ 2 = a
=> a = 93°
The area of the paper is the amount of space it occupies.
The length of papers around the edge is 1607680 cm
The given parameters are:
The area of the circle head is:
So, we have:
Substitute known values
The length of the paper is then calculated as:
This gives
Hence, the length of papers around the edge is 1607680 cm
Read more about areas at:
brainly.com/question/2264643
