The answer is A(87).I just plugged the numbers into the Pythagorean Theorem. 200^2 - 180^2 = the square root of 7,600, which equals about 87.
Step-by-step explanation:
Take the LCM of the denominators:
=> LCM = 18
=> -7/9 x 2/2 = -14/18
=> -4/9 x 2/2 = -8/18
=> 1/9 x 2/2 = 2/18
=> 1/2 x 9/9 = 9/18
When the number is negative, the greater the number, the smaller it is.
So, -14 is smaller than -8.
< = smaller than
=> -14/18 < -8/18 < 2/18 < 9/18
=> -7/9 < -4/9 < 1/9 < 1/2
Answer:
a) (x + 5) (x - 5)
b) (x + 5i) (x - 5i)
c) (x + (5i/2)) (x - (5i/2))
d) (x-1)(x-1)
e) x +i√3 +1) (x -i√3+1)
Step-by-step explanation:
To solve this, we will need to factorize each quadratic function making it equal to zero first and then proceeding to find x
a) f(x) = x²-25
x²-25 = 0
⇒(x + 5) (x - 5)
b) f(x)=x²+25
x² + 25 = 0
x²= -25
x = √-25
x = √25i
x = ±5i
⇒(x + 5i) (x - 5i)
c) f(x)=4x²+25
4x²+25 = 0
4x²= -25
x² = -25/4
x = ±√(-25/4)
x = ±(√25i)/2
x = ±5i /2
⇒(x + (5i/2)) (x - (5i/2))
d) f(x)=x²-2x+1
x²-2x+1 = 0
⇒(x - 1)²
e) f(x)=x²-2x+4
x²-2x+4 = 0
x²-2x = -4
x²-2x +1 = -4 +1
x²-2x + 1 = -3
(x-1)² +3 = 0
(x-1)²= -3
x-1 = √-3
x = ±√3i +1
⇒(x +i√3 +1) (x -i√3+1)
Answer:
-16
Step-by-step explanation:
-29+13 is -16
and -16-13 is -29.
Answer:
60 cubes
Step-by-step explanation:
10 times 6
6 are in each layer but there are 12 going down layer by layer
so 10 times 6 equal 60
the actuall answer is 60
= 60
