Answer:
The answer is "3"
Step-by-step explanation:
In the question, some of the data is missing which is defined in the attached file. please find it.
![\to 7+(-4)\\\\\to 7-4\\\\\to 3](https://tex.z-dn.net/?f=%5Cto%207%2B%28-4%29%5C%5C%5C%5C%5Cto%207-4%5C%5C%5C%5C%5Cto%203)
That's why 3 is correct.
Answer:
C
Step-by-step explanation:
The number line in option C contains the points -4, -1, 1 and 2 correctly plotted.
Answer: 6 blocks
Step-by-step explanation:
Given
Volume of the rectangular prism is ![V=\dfrac{3}{4}\ yd^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B3%7D%7B4%7D%5C%20yd%5E3)
Length of the cubic block is ![a=\dfrac{1}{2}\ yd](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B1%7D%7B2%7D%5C%20yd)
Volume of each cubic block is
![\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3](https://tex.z-dn.net/?f=%5CRightarrow%20V_o%3D%5Cleft%20%28%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5E3%5C%5C%5C%5C%5CRightarrow%20V_o%3D%5Cdfrac%7B1%7D%7B8%7D%5C%20yd%5E3)
Suppose, n blocks are required to measure the volume of Prism
![\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}](https://tex.z-dn.net/?f=%5CRightarrow%20V%3DnV_o%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B3%7D%7B4%7D%3Dn%5Ccdot%20%5Cdfrac%7B1%7D%7B8%7D%5C%5C%5C%5C%5CRightarrow%20n%3D%5Cdfrac%7B3%5Ctimes%208%7D%7B4%7D%5C%5C%5C%5C%5CRightarrow%20n%3D6%5C%20%5Ctext%7Bblocks%7D)
Thus, 6 blocks are required to measure the volume of prism.
Answer:
The transformed points of the triangle ABC are
,
, ![C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)](https://tex.z-dn.net/?f=C%27%28x%2Cy%29%20%3D%20%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%2C%20%5Cfrac%7B9%7D%7B2%7D%5Cright%29)
Step-by-step explanation:
The new points after applying the scale factor are, respectively:
![A' (x,y) = \frac{1}{2}\cdot (1,1)](https://tex.z-dn.net/?f=A%27%20%28x%2Cy%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%281%2C1%29)
![A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)](https://tex.z-dn.net/?f=A%27%20%28x%2Cy%29%20%3D%20%5Cleft%28%20%5Cfrac%7B1%7D%7B2%7D%2C%20%5Cfrac%7B1%7D%7B2%7D%5Cright%29)
![B' (x,y) = \frac{1}{2}\cdot (9,1)](https://tex.z-dn.net/?f=B%27%20%28x%2Cy%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%289%2C1%29)
![B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)](https://tex.z-dn.net/?f=B%27%28x%2Cy%29%20%3D%20%5Cleft%28%5Cfrac%7B9%7D%7B2%7D%2C%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29)
![C'(x,y) = \frac{1}{2}\cdot (1,9)](https://tex.z-dn.net/?f=C%27%28x%2Cy%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%281%2C9%29)
![C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)](https://tex.z-dn.net/?f=C%27%28x%2Cy%29%20%3D%20%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%2C%20%5Cfrac%7B9%7D%7B2%7D%5Cright%29)