Answer:
1/2
Step-by-step explanation:
Pick two points on the line
(2,0) and (4,1)
Use the slope formula
m= (y2-y1)/(x2-x1)
= (1-0)/(4-2)
= 1/2
One-third of 12 cookies are peanut butter.
12/3 =4
4 cookies are peanut butter
Step-by-step explanation:
Putting values of m and n
10(5) + (4)2 / 4
50 + 16/4
50 + 4 = 54
Answer:
Dimensions → (5 inches × 4 inches)
Step-by-step explanation:
Scale factor used for the drawing by Steffie = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Since, scale factor = ![\frac{\text{Dimension of the drawing}}{\text{Actual dimension}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BDimension%20of%20the%20drawing%7D%7D%7B%5Ctext%7BActual%20dimension%7D%7D)
For Steffie,
Actual length of the crate = ![\frac{\text{Dimension of the drawing}}{\text{Scale factor}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BDimension%20of%20the%20drawing%7D%7D%7B%5Ctext%7BScale%20factor%7D%7D)
= ![\frac{15}{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B%5Cfrac%7B1%7D%7B3%7D%7D)
= 45 inches
Actual width of the crate = ![\frac{12}{\frac{1}{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B%5Cfrac%7B1%7D%7B3%7D%20%7D)
= 36 inches
Since Brian used the scale factor = ![\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D)
Length of the drawing = Actual length × Scale factor
= 45 × ![\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D)
= 5 inches
Width of the drawing = Actual width × Scale factor
= 36 × ![\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B9%7D)
= 4 inches
Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)
The coordinates of the point of intersection are read from the graph as ...
(3, 5).