Answer:
18.18%
Step-by-step explanation:
55-45=10
10/55=0.18
Answer:
The equation of the linear function is y = 3x + 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
The rule of the slope is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
∵ A line passes through points (1, 6) and (2, 9)
∴ x1 = 1 ad y1 = 6
∴ x2 = 2 and y2 = 9
→ Use the rule of the slope above to find the slope of the line
∵ m =
=
= 3
∴ m = 3
→ Substitute the value of m in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of any
point on the line
∵ x = 1 and y = 6
∴ 6 = 3 (1) + b
∴ 6 = 3 + b
→ Subtract 3 from both sides
∵ 6 - 3 = 3 - 3 + b
∴ 3 = b
→ Substitute the value of b in the equation above
∴ y = 3x + 3
∴ The equation of the linear function is y = 3x + 3
Answer:
He will use the D box because it has a volume of

Step-by-step explanation:




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Answer:
the origin, (0, 0)
Step-by-step explanation:
The coordinates of A' are 1/2 those of A, meaning each has been multiplied by the scale factor 1/2. When the dilated points are all the original points multiplied by the scale factor, the center of dilation is the origin.
_____
For center of dilation Q, the image of a point A after dilation by a factor of k is ...
A' = kA + (k-1)Q
Then for points A, A', and dilation factor k, the center of dilation can be found to be ...
(A' -kA)/(k-1) = Q
Here, that is ...
Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)
Q = (0, 0)
X=2
Reason why is because 1+1 is 2 and X is what your product is