The answer would be 8.51m if you add all together
10
1000 divided by 100 is 10.
Answer:
Step-by-step explanation:
A to C
y = b + mx
b = y-intercept
m = slope of line
Looking at the line, the line crosses the y-axis at the coordinates (0,0). This means that the y-intercept is 0.
The slope formula is m=(y2-y1)/(x2-x1). Using the points on the line (-1, -3) and (1,3) we find that the slope is, 3.
Looking back we can see that our variables now have value so we can plug them into our formula.
y = b + mx
b = 0
m = 3
Substitute
y = 0 + 3x
The given equation of sphere is
![x^2 + y^2 + z^2 + 12x - 4y + 2z + 37 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20%2B%20z%5E2%20%2B%2012x%20-%204y%20%2B%202z%20%2B%2037%20%3D%200)
We have to use completing the square method , and in that method, we have to divide 12x ,-4y,2z by 2, square the results, and add the reult obtained after squaring to both sides. That is
![x^2 + y^2 + z^2 + 12x - 4y + 2z+36+4+1 = -37+36+4+1](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20%2B%20z%5E2%20%2B%2012x%20-%204y%20%2B%202z%2B36%2B4%2B1%20%20%3D%20-37%2B36%2B4%2B1)
![x^2 +12x+36+ y^2-4y+4 + z^2 +2z+1 = 4](https://tex.z-dn.net/?f=x%5E2%20%2B12x%2B36%2B%20y%5E2-4y%2B4%20%2B%20z%5E2%20%2B2z%2B1%20%3D%204)
![(x+6)^2 +(y-2)^2+(z+1)^2 = 4](https://tex.z-dn.net/?f=%28x%2B6%29%5E2%20%2B%28y-2%29%5E2%2B%28z%2B1%29%5E2%20%3D%204)
So here the center is (-6,2,-1) and radius is 2 .
Answer:
→ The table is:
→ x → -1 → 0 → 1
→ y → -3 → 0 → 3
The graph of the line is figure d
Step-by-step explanation:
∵ y = 3x
∵ x = -1, 0, 1
→ Substitute the values of x in the equation to find the values of y
∴ y = 3(-1) = -3
∴ y = 3(0) = 0
∴ y = 3(1) = 3
→ The table is:
→ x → -1 → 0 → 1
→ y → -3 → 0 → 3
∵ The form of the linear equation is y = m x + b, where
∵ y = 3x
→ Compare the equation with the form
∴ m = 3
∴ b = 0
→ That means the slope is positive, then the direction of the line must
be from left tp right and passes through the origin
∴ The graph of the line is figure d