Answer:
D I and IV
Step-by-step explanation:
The opposite of an integer "x" is "-x".
I. The integer is 53. → Since the opposite of George's integer is -53, the integer is -(-53) = 53
II. The integer has an absolute value of - 53. → The absolute value of 53 is 53.
III. The integer is - 53. → It was 53, found in I.
IV. The integer has an absolute value of 53. → It has an absolute value of 53, found in II.
Answer:
a₁ = 38
Step-by-step explanation:
Given AP, where:
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<h3>Solution</h3>
aₙ = a₁ + (n-1)d
- a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
- a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22
8a₈ = 12a₁₂
- 8(a₁ - 14) = 12(a₁ - 22)
- 2(a₁ - 14) = 3(a₁ - 22)
- 2a₁ - 28 = 3a₁ - 66
- 3a₁ - 2a₁ = -28 + 66
- a₁ = 38
Answer:
option (3) is correct.
Step-by-step explanation:
Given 
We have to solve for e.
Consider the given statement,
Cross multiply, we get,
Taking square root both sides , we get,
We know square root of 9 is 3.
Thus, option (3) is correct.
The Answer Is 57.92 But the easiest way to do it is Rounding it
Given:
Consider the equation is
To find:
The value of x.
Solution:
We have,
Using properties of exponents, we get
![[\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%2Ca%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
On comparing both sides, we get
Add 16 on both sides.
Multiply both sides by -1.
Therefore, the value of x is 8.
