Answer:
v = ± 
Step-by-step explanation:
Given
v² = 47 ( take the square root of both sides )
v = ± ← note plus or minus
Since × = 47
and
- × - = 47
This is the construction of a perpendicular line to the given line AB using a point F, which does'not lies on the line AB.
The first two steps are constructed. We have to give the next two steps to complete the construction.
Step 3: Using the same radius A and B as centers, draw two arcs below the line AB.
Step 4: The two arcs will intersect at a point. Name that point as 'X'. Join 'F' and 'X'.
Thus, FX is the required perpendicular to the line AB from point 'F'.
Answer:
44
Step-by-step explanation:
substitute x = 4 and y = 12 into the expression
5x² - 3y
= 5(4)² - 3(12)
= 5(16) - 36
= 80 - 36
= 44
Step-by-step explanation:
x - 1 = - 3x - 14
Bringing like terms on one side
x + 3x = -14 + 1
4x = - 13
x = - 13/4
Answer:
Step-by-step explanation:
r=24/(4+2sin θ)
4r+2r sin θ=24
divide by 2
2r+r sin θ=12
2√(x²+y²)+y=12
2√(x²+y²)=12-y
squaring
4(x²+y²)=144-24y+y²
4x²+3y²+24y=144
4x²+3(y²+8y+16-16)=144
4x²+3(y+4)²-48=144
4x²+3(y+4)²=144+48
4x²+3(y+4)²=192
divide by 192
which is an ellipse with centre(0,-4) major axis on y-axis.
