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Wittaler [7]
3 years ago
12

A line,y = mx +b, passes through the point (4,-3) and is

Mathematics
1 answer:
MrRissso [65]3 years ago
5 0
The answer is b = -3
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The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W
Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

x^2+y^2+4x-12y+4=0

Collect like terms and subtract 4 from both sides:

\implies x^2+4x+y^2-12y=-4

Complete the square for both variables by adding the square of half of the coefficient of x and y to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2

\implies x^2+4x+4+y^2-12y+36=-4+4+36

Factor both variables:

\implies (x+2)^2+(y-6)^2=36

Therefore:

  • center = (-2, 6)
  • radius = √36 = 6
7 0
2 years ago
risha wants to buy a computer for $775. She already has $275 saved and earns $100 a week babysitting. a. Use w to represent week
Alisiya [41]

Answer

Inequality=100x+275≥775       Answer=5 or more

Step-by-step explanation:

5 0
3 years ago
What is the formula for the volume of a sphere?
Vikki [24]

Answer:

D,

Step-by-step explanation:

the volume of a sphere is 4/3πr^3

7 0
2 years ago
Please help and also how did u get ur answer
s344n2d4d5 [400]

9514 1404 393

Answer:

  $364,130.83

Step-by-step explanation:

You put in $160 monthly for 32 years, so your contribution is ...

  $160×12×32 = $61,440

The difference between the account balance and your contribution is ...

  $425,570.83 -$61,440 = $364,130.83

There is $364,130.83 more in the account than what you put in.

8 0
3 years ago
What is the discriminant of the quadratic equation 2x + 5x2 = 1?<br> –18<br> –16 <br> 22 <br> 24
kakasveta [241]
Hello,

Answer D

Δ=2²-4*5*(-1)=4+20=24

5 0
3 years ago
Read 2 more answers
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