Mark points (0,0), (-1,-1), (1,-1), (-2,-4), (2,-4)
A^2+B^3=c^2
6^2+8^2=c^2
36+16=c^2
52=c^2
Square root both sides
7.2=C
11 centimeters
This is because a rectangle has an area of length times width and so you can divide 88 by 8 to get 11
From the information given you have:
1) Smaller diagonal of the kite: 16 inches
2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)
3) Calculation of the height of the smaller triangle, h1:
10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6
4) Calculation of the height of the larger triangle, h2
17^2 = (16/2)^2 + (h2)^2 => h2 = √[17^2 - 8^2] = 15
5) Larger diagonal = h1 + h2 = 6 + 15 = 21
Answer: 21 inches
Hello there!
A C method : you multiply the A and C -> find the factors of AC that can add up to B. (a² + bx + c)
15a² + 14a - 8
you multiply 15 and -8 = -120
Find the two factors of -120 that adds up to 14.
We could used 20 and -6.
So we can split the original equation to this:
15a² + 20a - 6a - 8
Now, we use grouping method.
Let's group 15a² + 20a and -6a - 8.
15a² + 20a can be factored like this :
5a(3a + 4)
-6a - 8 can be factored like this :
-2(3a + 4)
So it is 5a(3a + 4) × -2(3a + 4)
We can simplify this into this :
(5a - 2)(3a + 4)
So your final answer is (5a - 2)(3a + 4).
Hope this helped! :)