Answer:
19 square units
Step-by-step explanation:
Hello!
Step 1: Plot the points
We are first going to plot the points on the coordinate graph and connect the points to create a shape.
Refer to attachment titled "Step 1"
Step 2: Box the shape
Since this is an irregular shape, I'm going to make a box around the shape and subtract the area of the empty spaces to find the area of the original polygon.
Refer to attachment titled "Step 2"
Step 3: Area of Edges
We are going to find the area of the shapes A, B, and C and subtract them from the area of the big box to find the area of the polygon.
Area of a triangle = 1/2(base x height)
- Area of Box = 6 un x 7 un
- Area of Box = 42 un²
Area of A:
- Area A = 1/2(4 un x 2 un)
- Area A = 1/2(8 un²)
- Area A = 4 un²
Area of B:
- Area B = 4 un x 4 un
- Area B = 16 un²
Area of C:
- Area C = 1/2(2 un x 3 un)
- Area C = 1/2(6 un²)
- Area C = 3 un²
Step 4: Area of the polygon
Now, we can simply subtract the values of A, B, and C from the box to get the area of the polygon.
- Area Polygon = Box - A - B - C
- Area Polygon = 42 un² - 4 un² - 16 un² - 3 un²
- Area Polygon = 38 un² - 16 un² - 3 un²
- Area Polygon = 22 un² - 3 un²
- Area Polygon = 19 un²
The area of the polygon is 19 un²
-Chetan K
Y = mx + b
Where m is the slope and b is the y-intercept
As you can already see it passes through the origin so b (the y-intercept) is (x, 0)
And the slope were it’s rise/run so it goes up 2.5 units and to the right 1 unit so it’s 2.5/1 = 2.5
m = 2.5
Answer:
.25 or 1/4
Step-by-step explanation:
to find gradient/ slope,
choose any two points on line and divide the difference in y- values over difference in x- values
i.e. (0, 1), (10, 3.5)
2.5/10=.25 or 1/4
What we Know: 3 box have some counters. There are 63 counters when they are all combined.
A and B counters = 36
The difference between A and C is 10.
Since we already know A and B we can subtract them from 63 to get C
C= 63- 36 = 27
Now we have to find A by looking for what number gives us the difference of 10 when subtracted from C.
36 = 18+ 18 or 19+ 17
18 and 18 wont work because it does not give us the difference of 10.
So A = 17 counters and B = 19 counters.
The solution is p = 10 and p = -2
To solve for both p's, you have to find two factors of -20 that when multiplied, equal -20, but when added equal -8 (2 and -10).Since the -20 is negative, one of the numbers has to be negative.
Now that you have the 2 numbers, you solve for "p".
P - 10 = 0. Add 10 to both sides, P = 10
P + 2 = 0. Subtract 2 on both sides. P= -2.
I hope this helps!
