Answer:
3.75
Step-by-step explanation:
4x+9=24
4x=24-9
4x=15
x=15/4
x=3.75
Answer:
4y + 3
Step-by-step explanation:
An equilateral triangle has three sides of equal length.
The length of each side is 1/3 of the perimeter.
(12y + 9)/3 = 12y/3 + 9/3 = 4y + 3
Answer: 4y + 3
Answer:
x = 18 and y = 6√10
Step-by-step explanation:
First using pythagoras theorem on the small triangle
h² = 6² + 2²
h² = 36 + 4
h² = 40
h= √40
h = √4 * 10
h = 2√10
Using the similarity theorem;
y/2√10 = 6/2
y/√10 = 6
y = 6√10
To get x we will use the pythagoras theorem
y² = x²+6²
(6√10)² = x² + 36
360 = x² + 36
x² = 360 - 36
x² = 324
x = 18
Hence x = 18 and y = 6√10
Domain restrictions are what x values make the denominator zero.
a² + 5a - 36 = (a + 9)(a - 4)
a ≠ -9 ; a ≠ 4
