Answer:
(1, 2 )
Step-by-step explanation:
x + y = 3 (subtract x from both sides )
y = 3 - x → (1)
2x - y = 0 → (2)
Substitute y = 3 - x into (2)
2x - (3 - x) = 0
2x - 3 + x = 0
3x - 3 = 0 ( add 3 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into (1)
y = 3 - 1 = 2
solution is (1, 2 )
Its given that

We need to find t when d = 74
Therefore,
or


t(16t + 37) - 2(16t + 37) = 0
(t - 2)(16t + 37) = 0
t - 2 = 0 or 16t + 37 = 0
t couldn't be negative.
Therefore, t = 2
Hence, it will take 2 seconds for the object to travel 74 feet.
Answer:
X = 11
Step-by-step explanation:
So, in order to solve this equation, we need to isolate x.
So, we are going to subtract 8x from the right side to get the x on one side. The equation should look like this:
-2x + 7 = -15
Now in order to get x all alone on one side, we need to subtract 7 from the left side.
-2x = -22
Now we just have to divide the -2 from x.
X = 11
Answer:
[8i + 54j + 72k] joules per newton metre square.
Step-by-step explanation:
F(x,y,z) = z2i + 3xyj + 3y2k
F(3,0,0) = 0
F(3,3,1) = 1(2i) + 3(3)(3)j + 3(3)(2k)
= 2i + 27j + 18k
F(0,3,1) = 1(2i) + 3(0)(3)j + 3(3)(2k)
= 2i + 18k
The sum = [4i + 27j + 36k]
Since the particle moves back to the origin, we multiply the above Work Done by 2:
[8i + 54j + 72k]
And since work done is the product of Force and Distance, the S.I. unit is Joules/newton metre square