Answer:
4n2−4
Step-by-step explanation:
2n(2n)+2n⋅−2+2(2n)+2⋅−2
Whenever you are given a scale factor, that factor will apply to each dimension and because area is a two dimensional measurement, you multiply the area by 5 twice (so x5 x5). This means the new area would be 154x5^2. The new area of the photograph is 3850 square inches.
Answer:
12 cm
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = 12 cm
<em>c</em> = 17 cm
<u>Step 2: Solve for </u><em><u>b</u></em>
- Substitute in variables [Pythagorean Theorem]: 12² + b² = 17²
- Evaluate exponents: 144 + b² = 289
- [Subtraction Property of Equality] Subtract 144 on both sides: b² = 145
- [Equality Property] Square root both sides: b = √145
- [√Radical] Evaluate: b = 12.0416
- Round: b ≈ 12.0
Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
_______________
The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
Answer:
I think its b
Step-by-step explanation:
