Answer:
y = (-1/7)x + (24/7)
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
You have been given the value of the slope (m = -1/7). You have also been given values for "x" and "y" from the point (3,3). Therefore, you can substitute these values in for their variables and simplify to find the value of the y-intercept.
y = mx + b <----- Slope-intercept form
y = (-1/7)x + b <----- Plug -1/7 into "m"
3 = (-1/7)(3) + b <----- Plug in "x" and "y" values from point (3,3)
3 = -3/7 + b <----- Multiply -1/7 and 3
24/7 = b <----- Add 3/7 to both sides
Now that you know that m = -1/7 and b = 24/7, you can determine the formula satisfying the given information.
y = (-1/7)x + (24/7)
Here, I think I can help you out:
1. 21 ÷ 3
= 7
Therefore, the length is 7cm².
2. 35 ÷ 7
= 5cm²
- And so on. Simply divide the area by the length of the side given; you can answer up to question six using this strategy.
7. All sides of a square are the same length.
7 x 7
= 49cm²
9. 2 x 3.5
= 7m²
- The formula to find the area of a square/rectangle is length x width. Just multiply the given lengths for the answers :)
Answer: 6.5 feets
Step-by-step explanation:
The model of the spaceship was made to a scale of 1:16. Assuming the same unit of measurement used in the actual spaceship was also used in the model space ship and it was in feets. This means 1 foot on the model spaceship represented 16 feets on the actual spaceship.
In the movie, the ship is supposed to be 104 feet long. Let x be the corresponding length on the model. Therefore,
1:16 = x:104
1/16 = x/104
16x = 104
x = 104/16 = 6.5feets
So the length of the model is 6.5 feets
The answer is 8 because a negative number times or divide by a negative number the answer will be a positive number.
