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Mathematics

2 answers:

dybincka [34]3 years ago

7 0

Answer:

The answer is -x + 3y = 12

Step-by-step explanation:

yanalaym [24]3 years ago

5 0

We know that if two lines are Parallel then both the lines have same Slope.

Given : Equation of 1st Parallel line is -x + 3y = 6

this can be written as :

3y = x + 6

y = x/3 + 2

Comparing with standard form : y = mx + c

we can notice that slope = 1/3

We know that the form of line passing through point (x₀ , y₀) and having slope m is :

y - y₀ = m(x - x₀)

Here the 2nd Parallel line passes through the point (3 , 5)

x₀ = 3 and y₀ = 5 and we found m = 1/3

⇒ y - 5 = 1/3(x - 3)

⇒ 3y - 15 = x - 3

⇒ -x + 3y = 12

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A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l

inn [45]

We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

6 0

3 years ago

Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o

tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is, $h=-8t^2+40t$ , where 'h' is the height and 't' is time measured in second.