Hey there!
We're going to write the equation for this line in slope-intercept form, y = mx+b, where m is the slope and b is the y-intercept. In order to write it in this form, as stated in the name, we need the slope and y-intercept. Since we have the slope given, we can use the points we have and set up that equation with the given slope to solve for b. We'll use the x and y values and throw them into the equation. We have:
-1 = 3/2(4) + b
-1 = 12/2 + b
-1 = 6 + 6
-6 = b
Now, since we have our slope and y-intercept, we can write our equation with these two values:
y = 3/2x - 6
Hope this helps!
Answer: The total number of ways are 792 ways.
Explanation:
The total number of spots available is 7.
The total number of eligible candidate is 12.
To find the number of combinations we have a combination formula.
Where n is total number of of objects and r is the number of selected objects.
Since we have to select 7 spots from 12 candidates, therefore the total number of ways is calculated as shown below,
Therefore, the total number of ways are 792 ways.
Answer: 120, 60, 180
Step-by-step explanation:
1) Area of a rectangle's formula is:
l × w
So, looking at the diagram, we get:
6 × 20 = 120 cm²
2) Area of a trapezoid's formula is:
× h (where both a and b are the different base lengths)
So, looking at the diagram, we get:
× 4 = 60 cm²
3) Add both to find the area of the entire figure.
120 + 60 = 180 cm²
Answer:
8 cm and 9 cm
Step-by-step explanation:
Those are they only numbers that aren't equal to or less than the third side.