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kati45 [8]
3 years ago
14

Write an equation for the line parallel to the given line that contains C(4,8);y=-3x+4

Mathematics
1 answer:
Brrunno [24]3 years ago
6 0
Parallel line means they have the same slope 
y = mx + b 
where m = slope 
y = -3 + 4
here the slope is negative 3
y = -3x + b
plug in (4, 8)
8 = -3(4) + b 
b = 8 + 12
b = 20

The answer is y = -3x + 20
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What is the center of a circle whose equation is x2 y2 – 12x – 2y 12 = 0? (–12, –2) (–6, –1) (6, 1) (12, 2)
lora16 [44]

The center of a circle whose equation is x^2 +y^2 – 12x – 2y  +12 = 0 is (6,1)

<h3>Equation of a circle</h3>

The standard equation of a circle is expressed as:

x^2 + y^2 + 2gx + 2fy + c = 0

where:

(-g, -f) is the centre of the circle

Given the equations

x^2 +y^2 – 12x – 2y  +12 = 0

Compare

2gx = -12x

g = -6

Simiarly

-2y = 2fy

f = -1

Centre = (6, 1)

Hence the  center of a circle whose equation is x^2 +y^2 – 12x – 2y  +12 = 0 is (6,1)

Learn more on equation of a circle here: brainly.com/question/1506955

8 0
1 year ago
The mechanics at Giuseppe’s Auto House specialize in changing fuel injection units and transmissions. Last week, they changed 5
Lemur [1.5K]

Answer:

The solution is  (2,6)

Step-by-step explanation:

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y-----> the number of hours to change a transmission

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The solution is the point (2,6)

see the attached figure

4 0
2 years ago
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Step-by-step explanation:

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3 years ago
These are all my points I'm desperate please help I've posted this 4 other times
Juliette [100K]

Answer:

y = (x+3)^2 -1

Step-by-step explanation:

The vertex form of the equation is

y = a(x-h)^2 +k  where (h,k) is the vertex

The vertex is (-3,-1)

y = a(x- -3)^2 -1

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

Pick another point  (-2,0) and substitute it into the equation

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0 =a(1)^2 -1

0 = a-1

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y = (x+3)^2 -1

8 0
3 years ago
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