Answer:
Q' (12,8) , R'( 24,20) and S' (24,8)
Step-by-step explanation:
Here, we want to get the coordinates of the image after dilating the pre-image by a scale factor of 4
What we have to do here is to multiply each of the coordinate on the pre-image by 4
We have this as;
Q' = (4*3, 2 * 4) = (12,8)
R' = (4*6, 4*5) = (24,20)
s' = (4*6, 4*2) = (24,8)
Answer:

Step-by-step explanation:
Area of the Rectangular Carpet=12*5=60m²
Area of the Square rug=2*2=4m²
Expressing the area of the rug as a fraction of the total area of the carpet, we have:
.
The fraction of the carpet that is covered by the rug is
.
578 bc 2 goes into 578 evenly
Answer:
1) The correct option is C. (2) The correct option is D. (3) The correct option is B. (4) The correct option is D. (5) The correct option is D.
Step-by-step explanation:
The slope formula is

(1)
Two points are (-2,5) and (1,4).
![m=\frac{4-5}{1-(-2)}=\frac{-1}{3}tex]Therefore option C is correct.(2)Use the above mentioned formula for each pair of coordinates.[tex]m=\frac{10-13}{17-12}=\frac{-3}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4-5%7D%7B1-%28-2%29%7D%3D%5Cfrac%7B-1%7D%7B3%7Dtex%5D%3C%2Fp%3E%3Cp%3ETherefore%20option%20C%20is%20correct.%3C%2Fp%3E%3Cp%3E%282%29%3C%2Fp%3E%3Cp%3EUse%20the%20above%20mentioned%20formula%20for%20each%20pair%20of%20coordinates.%3C%2Fp%3E%3Cp%3E%5Btex%5Dm%3D%5Cfrac%7B10-13%7D%7B17-12%7D%3D%5Cfrac%7B-3%7D%7B5%7D)



Therefore option D is correct.
(3)
The pair of points (6, y) and (10, -1). The slope is
.




Therefore option B is correct.
(4)
For vertical line the x coordinates always remains the same. Therefore when we subtract the same number we get zero in the denominator, therefore the value of slope is undefined for a vertical line.
Therefore option D is correct.
(5)
Two points from the table are (2,110) and (3,165).

Therefore option D is correct.
The correct question in the attached figure
Let
x-------------> <span>the number of granola bars
y-------------> the pounds of fruit
we know that
if 12 bars------------> cost $12
1 bars--------------> X
X=12/12---> x=$1
1 bar---------> cost $1
if 9 pounds of fruit----------> cost $36
1 pound-------------------> X
X=36/9--------> x=$4
1 pound -------> cost $4
</span><span>expression for the total cost=(1)*x+(4)*y----------> x+4y
</span><span>x=12
y=9
then
</span>the total cost=12+4*9----- $48
<span>an inequality that compares
the total cost with the amount you have to spend is
x+4y<=48
</span>
using a graph tool see the attached figure
<span>the inequality that models the number of granola bars you need to buy is
</span>
x<=12 the solution for the number of granola bars is the interval [0,12]