Answer:
B. 5.2
Step-by-step explanation:
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Answer:
Square root of {(-2-8)^2+ (-5-1)^2}
Square root of {(-10)^2 + (-6)^2}
Square root of 100 +36
Square root of 136 = 11.66
Distance is 11.66
Your picture is a bit blurry. What is the equation on WX and on ZY?
Since this is a piecewise function, we will want to find the right equation to use. We want to find f(2) so we will find the equation to use when x=2. This will be the third equation because it is -2<=x<=2. We then plug 2 into x^2 -2. This will give us (2^2)-2 = 4-2 = 2.
(9)^4 × (27)^3 × (81)^2 / (3)^24 = 3.
Explanation:
- All the numbers in the numerator i.e. 9, 27, 81 are multiples of 3.
- 9 = 3 × 3 = 3², 27 = 3 × 3 × 3 = 3³, 81 = 3 × 3 × 3 × 3 =
.
= (3^2)^4, 27³ = (3^3)^3, 81^2 = (3^4)^2.- According to the power rule, (a^x)^y = a^xy.
- So the given numbers can be written as follows
= 3^8, 27³ = 3^9 and 81² = 3^8. - According to the product rule, (a^x) × (a^y) = a^xy.
- So the numerator can be written as
× 27³ × 81² = (3^8) × (3^9) × (3^8) = 3^(8+9+8) = 3^25. - So the fraction becomes 3^25 / 3^24 = 3 × 3^24 / 3^24 = 3.