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Dahasolnce [82]
3 years ago
8

Write the general equation for the circle that passes through the points:

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0

Answer:

Step-by-step explanation:

let the eq. of circle be x²+y²+2gx+2fy+c=0  ...(1)

∵ it passes through (-1,2),(4,2),(-3,4)

∴ (-1)²+2²-2g+4f+c=0    

-2g+4f+c=-5   ...(2)

4²+2²+8g+4f+c=0

8g+4f+c=-20  ...(3)

(-3)²+4²-6g+8f+c=0

-6g+8f+c=-25  ...(4)

(3)-(2) gives

10 g=15

2g=3

g=3/2

(3)-(4) gives

14 g-4f=5

14×(3/2)-4f=5

-4f=5-21=-16

f=4

from (2)

-2(3/2)+4×4+c=-5

-3+16+c=-5

c=-5-13

c=-18

so eq. of circle is

x²+y²+2(3/2)x+2(4)y-18=0

x²+y²+3x+8y-18=0

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Write an equation in slope-intercept form for the line with slope 1/4 and y intercept -4. Then graph the line​
quester [9]

Answer:

Step-by-step explanation:

slope intercept form is y = mx + b

b is the y intercept ( crossing y axis value)....     by inspection   b = -4

m is the slope of the line,  Slope = m = 1/4      note: the slope is positive

the slope equals the 'rise' over 'run'  

if the line moves up the slope is positive, if the line moves down the slope is negative

the rise is how many y units does the line go 'up' or 'down'

the run is how many x units does the line go 'left' or 'right'

the rise = 1  Y unit

the run = 4 X units

y = mx + b    m =1/4  b = -4

y = (1/4)x + (-4)

y = (1/4)x - 4

graph a line stating at y = -4 and going up (rising) to the right ONE Y Unit for  every FOUR X units (the run)

3 0
3 years ago
Please help me with this question :) thanks.
olga55 [171]

the blank should say x

3 0
3 years ago
Find the area of the parallelogram that has a base of 4m and a height of 5.5m.
Sveta_85 [38]

Answer:

22m²

Step-by-step explanation:

Area of parallelogram is simply the base length x height.

In this case, base length = 4m and height = 5.5m

hence,

Area = 4 x 5.5 = 22m²

3 0
2 years ago
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Answer pls!!!<br><br><br><br><br> help math geniuses
bekas [8.4K]

Answer:

p=405+60logx

from 2024 to 2010

=14years

p=405+60log14

p=405+60×1.15

p=405+69

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I would appreciate if my answer is chosen as a brainliest answer

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