Answer:
The point-slope form would be y - 4 = x - 2
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope. For that, we use the slope formula.
m (slope) = (y1 - y2)/(x1 - x2)
Now we plug the numbers into the equation.
m (slope) = (y1 - y2)/(x1 - x2)
m (slope) = (4 - -1)/(2 - -3)
m (slope) = 5/5
m (slope) = 1
Now we can use point-slope form along with the slope and either point to write the equation.
y - y1 = m(x - x1)
y - 4 = (x - 2)
Answer:
6
Step-by-step explanation:
You have a total of $30, but you can't spend it all on buckets of balls because first you have to pay the fee to attend the golf clinic.
So you have to figure out how much you have left after you spend $12 on fees.
$30−$12=$18
This means that you can spend $18 on buckets of golf balls.
At $3 each, how many buckets can you buy with $18?
18÷3=6
This means that you can buy
<u>6</u> buckets of golf balls at the clinic after paying the fee to join.
Equation:
12+3x=30
3x=18
x=6
Answer:
![41\text{ [units squared]}](https://tex.z-dn.net/?f=41%5Ctext%7B%20%5Bunits%20squared%5D%7D)
Step-by-step explanation:
The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.
The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:
- 4 triangles (corners)
- 3 rectangles (one in the middle, two on top after you remove triangles)
<u>Formulas</u>:
- Area of rectangle with length
and width 
: 
- Area of triangle with base
and height 
: 
<u>Area of triangles</u>:
All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.
Thus, the total area of one is 
The area of all four is then 
units squared.
<u>Area of rectangles</u>:
The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of 
units squared, and the both of them have a total area of 
units squared.
The last rectangle has a width of 7 and a height of 3 for a total area of 
units squared.
Therefore, the area of the entire octagon is ![8+12+21=\boxed{41\text{ [units squared]}}](https://tex.z-dn.net/?f=8%2B12%2B21%3D%5Cboxed%7B41%5Ctext%7B%20%5Bunits%20squared%5D%7D%7D)
The answer is 4. You do 12 times 1/3. This is because this is important in order to find out the answer. The answer is 4.
Answer: (a, 0)
<u>Step-by-step explanation:</u>
Notice that S is on the x-axis, therefore the y-coordinate is "0".
Notice that S has the same x-value of R. The x-value of R is "a".
