To prove:
Solution:
Multiply first term by 
and second term by 
.
Using the identity: 
Denominators are same, you can subtract the fractions.
Using the identity: 
Using the identity: 
------------ (1)
Using the identity: 
------------ (2)
Equation (1) = Equation (2)
LHS = RHS
Hence proved.
Answer:
2340 m^2
Step-by-step explanation:
The area of kite = multiply the lengths of the two diagonals and divide by 2
The top left triangle:
Using Pythagorean theorem:
c^2 = a^2 + b^2
so
b^2 = c^2 - a^2
b^2 = 51^2 - 24^2
b^2 = 2601 - 576
b^2 = 2025
b = 45
Top right triangle:
Using Pythagorean theorem:
c^2 = a^2 + b^2
so
b^2 = c^2 - a^2
b^2 = 53^2 - 45^2
b^2 = 2809 - 2025
b^2 = 784
b = 28
so the two diagonals:
24 + 28 = 52 m and 45 + 45 = 90 m
Area of the kite:
A = 52 x 90 / 2
A = 2340 m^2
First, break up the shapes into parts. The first one you see is 7 by 4 rectangle on the top.
A=l*w
A=7*4
A=28 for the rectangle, your not done
Now the triangle to the left
A=l*w/2
A=19*10/2
A=95
Now all you got left is the trapezoid, which area's formula is:
A=(b∧1+b∧2*h)/2
A=9+19*8/2
A=112.
Now you have the area for three of the figures, add them up:
112+95+28=235
So in total, the area of this figure is 235 cm^2
Answer:
Step-by-step explanation:
The equation of a line is y=mx+b, where m is the slope and b is the y-intercept. y and x are the y and x values of any point respectively.
The information we have:
y = 6
x = -1
m = -3
6 = -3*-1 + b
6 = 3 + b
b = 3
So now we know that m = -3 and b = 3
y and x were 6 and -1 in this case but we need an equation that works for any point on the line so we can keep y and x just as it is (variables, not numbers).
The final equation is:
y = -3x + 3
