√65Explanation:(−5,1)=x1,y1(3,0)=x2,y2The distance is calculated using formula:'Distance =√(x2−x1)2+(y2−y1)2=√(3−(−5))2+(0−1)2=√(3+5)2+(−1)2=√(8)2+(−1)2=√(64+1)Distance =√65
Answer:
x = 4
Step-by-step explanation:
X - 7 = -3 (add 7 to both sides)
X - 7 + 7 = -3 + 7
X = -3 + 7
X = 4
Given:
The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:

To find:
The selling price if the company wants the weekly revenue to be $1,600.
Solution:
We know that the revenue is the product of quantity and price.



We need to find the value of p when the value of R is $1600.



Divide both sides by 100.

Splitting the middle term, we get



Using zero product property, we get
or 
or 
Therefore, the smaller value of p is $2 and the larger value of p is $8.
The volume of the dilated cube is 
Explanation:
The volume of the cube is 
It is given that the cube is dilated by a factor of 5.
We need to determine the volume of the dilated cube.
Since, we know that the dilation is a transformation that changes the size of the image but not the shape.
Since, it is given that the volume of the cube is dilated by a factor of 5, the length of the image will be 5 times greater, the width of the image will be 5 times greater and the height of the image will be times greater than the original image.
Thus, the volume of the dilated cube is given by,




Thus, the volume of the dilated cube is 