She didn't divide B, instead she multiplied it.
Answer: (f)
Step-by-step explanation:
Given
Line that passes through
and ![(0,0)](https://tex.z-dn.net/?f=%280%2C0%29)
Using two point form, equation of a line is given by
![\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-y_1%7D%7Bx-x_1%7D%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Insert the values
![\Rightarrow \dfrac{y-0}{x-0}=\dfrac{3-0}{-\frac{1}{2}-0}\\\\\Rightarrow \dfrac{y}{x}=-6\\\\\Rightarrow y=-6x](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-0%7D%7Bx-0%7D%3D%5Cdfrac%7B3-0%7D%7B-%5Cfrac%7B1%7D%7B2%7D-0%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7By%7D%7Bx%7D%3D-6%5C%5C%5C%5C%5CRightarrow%20y%3D-6x)
Thus, option (f) is correct
Answer: False. When multiplying or dividing by an negative inequality you flip the sign.
Step-by-step explanation:
This pattern appears to alternate between doubling and subtracting by 1.
To get from 3 to 6, we multiply by two.
To get from 6 to 5, we subtract one.
To get from 5 to 10, we multiply by two.
To get from 10 to 9, we subtract one.
To get from 9 to 18, we multiply by two.
To get from 18 to 17, we subtract one.
Therefore, next we need to multiply by two.
17 x 2 = 34
So, the next number is 34.
To find the number after, we subtract one.
34 - 1 = 33
Thus, the number after is 33.
In conclusion, the next two numbers are 34 and 33.
9514 1404 393
Answer:
A. x² -4
B. 2x² +8
Step-by-step explanation:
The area of a square is the square of the side lengths. That means the area of each large square is x², since it has a side length of x.
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A. The area of 4 small squares is subtracted from the area of the large square to find the shaded area:
x² -4×1² = x² -4 . . . area of Figure A
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B. The area of two small squares is added to the area of two large squares to find the shaded area:
2x² +2×2² = 2x² +8 . . . area of Figure B