What is the point-slope equation of the line with slope -12 that goes through the point (5,3)

Answers

Answer 1

Answer: Hello,
the equation is y-3=-12(x-5)==>y=-12x+63
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If x is a real number such that x^3 =64 then x^2 + x=?

Answers

x^3=64

x= 3 square root of 64

x=4

x^2+ square root of x= 4^2+ the square root of 4= 16+2=18

Find the product of (3.7 × 104) and 2

Answers

"769.6" I hope it helps

im assuming the "and 2" part means to also multiply so just multiply 3.7*104 to get 384.8. then multiply the product by 2 and the answer will be 769.6.

Find the domain of fg. f(x)=x^2+1 g(x)= 1/x

Answers

Answer:

f(1/x)=1/x^2+1

Step-by-step explanation:

Evaluate the following:Options are:
-12/(5)
0
12/(5)
The integral diverges.

Answers

Answer:

The integral diverges

Step-by-step explanation:

∫₁³ 2 / (x − 2)^(8/3) dx

∫₁³ 2 (x − 2)^(-8/3) dx

There is a discontinuity in the function at x = 2. Splitting this into two integrals:

∫₁² 2 (x − 2)^(-8/3) dx + ∫₂³ 2 (x − 2)^(-8/3) dx

(-6/5) (x − 2)^(-5/3) |₁² + (-6/5) (x − 2)^(-5/3) |₂³

∞

given the equation of a circle x^2+y^2-10x+4y+13=0. find its center and radius. i am having trouble please help

Answers

$x^2+y^2-10x+4y+13=0\n x^2-10x+25+y^2+4y+4-16=0\n (x-5)^2+(y+2)^2=16\n\n \hbox{center}=(5,-2)\n r=4$

The combined land area of the countries A and B is 157,973 square kilometers. Country A is larger by 773 square kilometers. Determine the land area of each country.

Answers

The combined land areas of country A & B are 157,973 sq km. COuntry A is larger by 773 sq kn. The land area of Country A is 79,373, the land area of Country B is 78,600.

A + B = 157,973
A = B + 773

now its just a matter of subbing
(B + 773) + B = 157,973
2B + 773 = 157,973
2B = 157,973 - 773
2B = 157,200
B = 157,200/2
B = 78,600 <=== land area for country B

A = B + 773
A = 78,600 + 773
A = 79,373 <== land area for country A

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