What is (-m)^-3n, if m= 2 and n= -24?a. 3b. -3c. 4. d. -4

Answers

Answer 1

Answer: $(-m)^(-3)n\n\nm=2;\ n=-24\n\nsubtitute\n\n(-2)^(-3)\cdot(-24)=(1)/((-2)^3)\cdot(-24)=(1)/(-8)\cdot(-24)=(-24)/(-8)=3$

Answer: a. 3

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A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?(x - 1)2 + (y + 2)2 = 3

(x + 1)2 + (y - 2)2 = 3

(x + 1)2 + (y + 2)2 = 9

(x + 1)2 + (y - 2)2 = 9

Answers

Answer:

$(x+1)^2+(y-2)^2=9$

last option is correct.

Step-by-step explanation:

We have been given that

Center: (-1,2)

Radius : 3 units

We know that the standard form of the circle is given by

$(x-h)^2+(y-k)^2=r^2$

Here, h = -2, k = 2, and r=3

Substituting these values in the above formula, we get

$(x+1)^2+(y-2)^2=3^2\n\n(x+1)^2+(y-2)^2=9$

Therefore, last option is correct.

Hello,

Answer D

(x+1)²+(y-2)²=9

A pote that is 3.5 m tall casts a shadow that is 1.08 m long same time, a nearby building casts a shadow that is 35.5 m long How tall is the building Round your answer to the nearest