(x² + 4x - 45)/(x² + 10x + 9)
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45
= (x² + 9x) - (5x + 45)
= x(x + 9) - 5(x + 9)
= (x + 9)(x - 5)
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9
= (x² + x) + (9x + 9)
= x(x + 1) + 9(x + 1)
= (x + 1)(x + 9)
<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9)
= (x - 5)/(x + 1)
<span>
Restrictions : x ≠ - 1, x = 5 </span>
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Answer:
C. 40in
Step-by-step explanation:
so...
576+1024=1600
the missing side = 40in
Answer: 20
Explanation: Alright, so basically you’re going to want to use PEMDAS (Parenthesis, Exponents, Multiplication/ Division, Addition/ Subtraction)
* just means multiply.. sooo the problem looks like this:
6x(12-7.5)-7
We’ll start at the parentheses :)
So (12-7.5) = 4.5
Now our problem looks like: 6x(4.5)-7
Following PEMDAS, the next thing to come up is multiplication! So we’re going to multiply 6 by 4.5 ...
6x4.5=27
After this our problem looks like: 27-7
So now it’s just simple math...
27-7= 20
Answer:
Correct ratio is:
2/3 = x/4
Step-by-step explanation:
The length of the arc is 4π.
<u>Step-by-step explanation</u>:
Given,
- Diameter = 24 ft
- radius, r = diameter/2
- r = 24/2 = 12 ft
- central angle, ∅ = 60°
Arc length = ∅/360° (2πr)
⇒ 60°/360° (2π
12)
⇒ 24π/6
⇒ 4π
∴ The length of the arc is 4π.
