Answer:
x = +-sqrt(3) and they are the actual solutions
Step-by-step explanation:
x^2/ (2x-6) = 9/(6x-18)
get a common denominator of 6x-18
x^2/ (2x-6) * 3/3 = 9/(6x-18)
3x^2/ (6x-18) = 9/(6x-18)
since the denominators are the same, the numerators must be the same
3x^2 = 9
divide by 3 on each side
x^2 = 3
take the square root of each side
sqrt(x^2) = +-sqrt(3)
x = +-sqrt(3)
Answer:
see explanation
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
=
[2a + (n - 1)d ]
where d is the common difference and a is the first term
here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence
=
[(2 × 5) + 2(n - 1) ]
=
(10 + 2n - 2)
=
(2n + 8)
= n² + 4n
When sum = 165, then
n² + 4n = 165 ← rearrange into standard form
n² + 4n - 165 = 0 ← in standard form
(n + 15)(n - 11) = 0 ← in factored form
equate each factor to zero and solve for n
n + 15 = 0 ⇒ n = - 15
n - 11 = 0 ⇒ n = 11
but n > 0 ⇒ n = 11
All my work is shown in the image.
The width and height of Talia's Scale drawing are :
- Width = 4.35 in
- Height = 5.7 in
We can obtain the actual length of the side of the house from Mike's drawing :
- Mike's scale = 3 ft to 1 in
Actual measurements:
- Scale ratio × model drawing
- Height, h = 9.5 × 3 = 28.5 feets
- Width, w = 7.25 × 3 = 21.75 feets
Measurement of Talia's Scale drawing :
- Talia's scale = 5 ft to 1 in
- Actual measurement ÷ scale
- Height = 28.5 ÷ 5 = 5.7 in
- Width = 21.75 ÷ 5 = 4.35 in
The width and height of Talia's scale drawing are 5.7 and 4.35 respectively.
Learn more : brainly.com/question/17388747?referrer=searchResults