Answer:
x = 5.7 and y = 3.8
Step-by-step explanation:
We have given a system of equation.
5x+2y = 21 eq(1)
-2x+6y = -34 eq(2)
We have to find the solution of the given system.
Multiplying eq(1) by 3 , we have
15x+6y = 63
Subtracting above equation from eq(2), we have
15x+6y - (-2x+6y) = 63-(-34)
15x+6y+2x-6y = 63+34
17x+0 = 97
17x = 97
x = 97/17
x = 5.706≅5.7
Putting the value of x in eq(1) , we have
5(5.706)+2y = 21
2y = 21-28.53
2y = 7.53
y = 7.53/2
y = 3.765
We have to round it to the nearest tenth
y = 3.8
Hence, the solution of given system is x = 5.7 and y = 3.8
I think I did this test and I think it’s A
Answer:
1.9
Step-by-step explanation:
r=C/2π
r-12.1/2π=1.9257...
Answer:
Step-by-step explanation:
Given points P(1, -1, 4), Q (4,2,1) vector equation of a line joining the points with position vectors r₀ and r₁ is:
r = (1 - t)r₀ + tr₁
where
t ∈ [0, 1]
and r₀ = P = (1, -1, 4)
r₁ = Q = (4, 2, 1)
r(t) = (1 - t)
+ t



∴
The vector equation
where t ∈ [0,1] is:
r(t) = (1+3t)i - (1+3t)j + (4 - 3t)k
The parametric equation is:
x(t) = 1 + 3t
y(t) = -1 + 3t
z(t) = 4 - 3t
(x(t), y(t), z(t) ) = ( 1 + 3t, -1 + 3t, 4 - 3t )
4x + y = 54
8x + 2y = 104
8x + 8y - (8x + 2y) = 240 - 104
6y = 136
y=22 2/3
4x+ 22 2/3 = 54
4x= 31 1/3
x= 7 5/6