<h2>
Answer:</h2><h2>
The height of the triangle = 4cm</h2>
Step-by-step explanation:
Given, area of the triangle = 10 
Let the height of the triangle be h cm
Given, the base b is 3 cm less than twice its height.
b = 2h - 3 ... (1)
By formula, area of the triangle = 
bh .. (2)
substitute (1)in (2), we get
Area = (2h-3) h
10 = (2h-3) h
20 = 
- 20 = 0
solving the equation, we get x = 4, -2.5
The height of the triangle = 4cm
Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
Answer:
The number of children's tickets bought was 300 and the number of adult tickets bought was 700
Step-by-step explanation:
Let
x ----> the number of children's tickets bought
y ----> the number of adult tickets bought
we know that
-----> equation A
-----> equation B
Solve the system by substitution
substitute equation A in equation B
solve for x
<em>Find the value of x</em>
therefore
The number of children's tickets bought was 300 and the number of adult tickets bought was 700
Answer:
7x-6
Step-by-step explanation:
x+3+3x-18+3x+9 (Add like terms)
(x+3x+3x) (3-18+9) (solve) ( x is the same as 1x)
(7x) (-6)
7x-6
