Answer:
x = 9/4
Step-by-step explanation:
f(x) = 4x - 9
(first substitute f(x) with 0)
0 = 4× - 9
(Move four)
-4x = -9
=> x = -9/-4
= 9/4
Answer:
282.74
Step-by-step explanation:
Wavelength denotes the time for one cycle of a periodic process
Answer:
Step-by-step explanation:
1). x² - 10x + a²
By using the formula of (a - b)² = a² - 2ab + b²
x² - 2(5)x + a²
Therefore, for a perfect square of the expression a should be equal to 5.
Therefore, (x² - 10x + 25) will be the answer.
2). x² + 2ax + 36
= x² + 2(a)x + 6²
For a perfect square of the given expression value of a should be 6.
x² + 2(a)x + 6² = x² + 2(6)x + 6²
= (x + 6)²
Therefore, x² + 12x + 36 will be the answer.
3). 

To make this expression a perfect square,
a² = 
= 
Therefore, the missing number will be
.
Answer:
Step-by-step explanation:
m and n are parallel and cut by a transversal
<u>Finding x</u>
- 8x + 12 + 2x + 18 = 180 (consecutive interior angles sum up to 180°)
- 10x + 30 = 180
- 10x = 150
- x = 15
<u>Finding y</u>
- 8x + 12 = 3y - 18 (vertical angles are equal)
- 8(15) + 12 = 3y - 18
- 132 = 3y - 18
- 150 = 3y
- y = 50