Answer: 1: 34 units 2: 24.5
Step-by-step explanation:
For figure 1, just split the area into squares and triangles and find the area of each. If you split figure 1 into 1 square and 3 triangles you get...
4x4= 16
(4x3)/2= 6
(4x4)/2= 8
(4x2)/2= 3
16+6+8+3 = 34
You do the same for figure 2, but use 4 triangles and 1 tiny square
1x1= 1
(4x3)/2= 6
(3x3)/2= 4.5
(4x4)/2= 8
(5x5)/2= 5
1+6+4.5+8+5= 24.5
You shouldn't need to worry about negative numbers because you are looking at the area
Let
If M is the midpoint, the x and y coordinates of M are the average of the x and y coordinates of P and Q:
We can solve this expression for the coordinates of Q:
Plug in the values for the coordinates of M and P to get
Find two points on the graph that the line crosses through almost perfectly. It looks like (1,10) and (9,1) will do.
Use them to compute the slope:
m = (1 - 10) / (9 - 1)
= -9/8
Then set up the "point-slope form":
y - y0 = m * (x - x0)
You choose some point (x0, y0) that the line crosses through. We already know the line passes through (1,10) pretty well, so let's use that.
x0 = 1
y0 = 10
Now finish plugging into the equation:
y - 10 = -9/8 * (x - 1)
The above equation will work fine for an answer, but let's go a step further and solve for y.
y - 10 = -9/8x + 9/8
y = -9/8x + 9/8 + 10
y = -9/8x + 9/8 + 80/8
y = -9/8x + (9 + 80)/8
y = -9/8x + 89/8
The answer is just do easy subtraction 3/4
Answer:
1.25
Step-by-step explanation:
Because they are equal triangles, all of their sides are equal
so, lets take one side of each triangle (4, 5)
the law:
the scale factor = the larger side ÷ the smaller side
x = 5 ÷ 4
x = 1.25
For checking:
the larger side = the smaller side × the scale factor
Y = 4 × 1.25
Y = 5
