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FrozenT [24]
2 years ago
7

Someone pls help me with this questions

Mathematics
1 answer:
Veronika [31]2 years ago
7 0

Answer:

1) A giraffe's heart will beat 910 times in 14 minutes

Table for 1)

Beats      65     325    910

Minutes    1        5        14

2) $8.80 for 4 bags of chips

Explanation for 2)

8.8 divided by 4 equals 2.2

4.5 divided by 2 equals 2.25

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the slope is 5/3

Step-by-step explanation:

rise over run. rise 5 times run 3 times

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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
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Answer:

inverse

Step-by-step explanation:

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