X^2+y^2=169, 3x+2y=39 please answer using substitution and each step
1 answer:
Answer:
x=13,y=0
Step-by-step explanation:
We are given a system of equations
For equation 1,square all terms to reduce it
√x²+√y²=169
x+y=13
Make x the subject as required by the question to use substitution method
x=13-y
Plug x=13-y into eqn 2
3(13-y)+2y=39
39-3y+2y=39
39-y=39
y=39-39=0
Plug y=0 into equation 1
x+0=13
x=0
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Volume of Solids
The volume of the solid is 758.83 in³
Step-by-step explanation:
Given that the cone and half sphere is hollow
The volume of the cone =
The Volume of the sphere =
So the Volume of the half sphere =
The volume of solid = volume of cone + volume of the half sphere
Given
height h = 19 in
radius r = 5 in
=
= 1/3 × 3.14 × 5 × 5 × 19
= 497.16 in³
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Answer:
+ 3x +9x +27 = 0
x(x+3)+9(x+3)=0
(x+3)(x+9)=0
x=-3, x=-9
Step-by-step explanation:
a=1 b=12 c=27
sum=12
factor=27x 1
3x9
also 3+9=12