1. The given rectangular equation is .
We substitute .
Divide through by
2. The given rectangular equation is:
This is the same as:
We use the relation
This implies that:
3. The given rectangular equation is:
This is the same as:
We use the relation and
This implies that:
Divide through by r
4. We have
We substitute and
This implies that;
5. We have
We substitute and
This implies that;
Answer: ( 12 , 9 )
Step-by-step explanation:
The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :
x =
y =
From the question
= 2
= ?
x = 4
= -1
= ?
y = 1
p = 1
q = 4
substituting the values into the formula ,we have
x =
4 =
4 =
+ 8 = 20
= 12
Also
y =
1 =
- 4 = 5
= 9
Therefore , the end of the stencil is located at point ( 12 , 9 )
Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
Answer:
The equation is not a linear function.
Answer:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0
center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34