It would be c, y = 2/3x + 6
Your intention with the wording "consecutive integers of 12 feet" is not clear. Shown are triangles with sides 12 and 13 (a nice Pythagorean triple) as well as 11 and 12.
3.114
Step-by-step explanation:
Given slope of the line is 1.581,
Mean of the x-coordinate is 5.923,
Mean of the y-coordinate is 12.478
Equation of the line formula is
y = mx + c
12.478 = 1.581 × 5.923 + c
⇒ 12.478 = 9.364263 + c
⇒ c = 12.478 – 9.364263
⇒ c = 3.113737
⇒ c = 3.114 (Round off to three decimal places)
Hence, y-intercepts of the line to three decimal places is 3.114.
Answer:
6 cups of yellow paint and 9 cups of red paint are required for 3 batches of orange paint.
Step-by-step explanation:
Consider the provided information.
A particular shade of orange paint has 2 cups of yellow paint for every 3 cups of red paint.
We need to find the numbers of cups of yellow and red paint needed for 3 batches of orange paint.
For one batches of orange paint we need 2 cups of yellow and 3 cups of red.
So for 3 batches of orange paint we need:
2×3 = 6 cups of yellow paint.
3×3 = 9 cups of red paint.
The required number line is shown below.
If it is delayed by a month, a possible adjustment to the equation could look something like this:
S = 2(t-1)^2 + 100
These type of transformations are called horizontal shifts, aka "shift along the x-axis". So the answer is A.