This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25
(x + 3)(x + 3) = x^2 + 6x + 9 by the same method
(2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.
4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5
2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17
Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289
a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer
It is an arithmetic series
Answer:
16 13 13 11 11 9 9 8 Median = 11 Mean = 11.25
Answer:
Option B: 3(27b + 9c - 5d)
Step-by-step explanation:
The equation is actually 8lb+ 27c - 15<u>d</u>
A common factor is 3:
3(27b + 9c -5d)
Option B: 3(27b + 9c - 5d)
Answer:
x = 3 and y = 1
Step-by-step explanation:
Give system of equations are :
8x-9y=15 ...(1)
−x+4y=1 ...(2)
Multiply equation (2) by 8.
−8x+32y=8 ..(3)
Add equation (1) and (3).
8x-9y -8x + 32y = 15+8
23y = 23
y = 1
Put the value of y in equation (2).
−x+4(1)=1
-x = -4+1
x = 3
Hence, the values of x and y are 3 and 1.