X^2+10x+16＝0
First, you find factors of 16.
1 x 16
2 x 8
4 x 4
Next, you find which of the factor pairs adds up to 10 (from the 10x). In this case, 2 x 8 because 2 times 8 is 16 and 2 plus 8 is 10.
Then, the equation will be written out as: (x+2) (x+8). Take those two equations and set them equal to 0, and then solve.
x+2＝0
-2 -2
x＝-2
x+8＝0
-8 -8
x＝-8
So, your answers are x＝-2 and x＝-8. You can check by plugging in those two numbers as x.
20 7
----- = ------
100 x
100 x 7 = 700
700/20 = 35
X = 35
Answer:
(x + 7)^2 = 64
Step-by-step explanation:
x^2 + 23x – 19 = 9x - 4
x^2 + 23x - 9x = -4 + 19
x^2 + 14x = 15 = 0
Completing the square:
(x + 14/2)^2 - (14/2)^2 = 15
(x + 7)^2 - 49 = 15
(x + 7)^2 = 64
The train is traveling at 165 mph
495/3=165
825/5=165
1155/7=165
1485/9=165
you're given the pythagorean theorem, which is a^2 + b^2 = c^2.
what you're trying to find is ?, which is the number under the radical.
let's pretend one leg is a and the other is b.
a = 9
b = 10
so let's plug it into the equation. we get 9^2 + 10^2 = c^2
so that equals 81 + 100 = c^2
181 = c^2
so c will equal the square root of 181. therefore, ? = 181.
hope i helped! good luck.
