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3 years ago

Determine the center and radius of the following circle equation:

Mathematics

1 answer:

Greeley [361]3 years ago

8 0

Answer:

x^2-18x+y^2+18y+137=0

express both x and y term in completed square form

(x-9)^2 -81+(y+9)^2-81+137=0

(x-9)^2+(y+9)^2-25=0

(x-9)^2+(y+9)^2=5^2

here the x coordinate of the centre is +9

y coordinate is -9(the negative value of the value associated with the x and y square brackets)

radius=5

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100 POINTS AND BRAINLIEST

zysi [14]

Answer:

8 square units and $\frac{40}{3}$ square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor $\frac{1}{3},$ then

$\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.$

2. Triangles ABC and DBE are similar with scale factor $\frac{2}{3},$ then

$\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.$

3. Thus, the area of the quadrilateral DFGE is

$A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.$

and the area of the quadrilateral ADEC is

$A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.$

4 0

2 years ago

Read 2 more answers

HURRY PLEASE PLZ 10 POINTS Please some1 help me. jodi built a rectangular sandbox for her daughter. The sand measures 6 feet 5 f

ratelena [41]

Box:
Length = 6 feet
Width = 5 feet
Hight = 1.2 foot

Volume of the box = LxWxH
Box volume = 6x5x1.2 = 36 cubic feet
The Box holds 36 cubic feet of sand.

While Jodi bought 20 cubic feet of sand
Which means that Jodi is short by:
36 - 20 = 16 cubic feet.

4 0

3 years ago

Read 2 more answers

Please help . 20 points for right answer

siniylev [52]

You would add up the percentages first, which would bring everything up to 35%. You would then take the original cost of the item, which is $30 and multiple it by the 35%.

The equation would look like...

30 x .35 =

This will give you $10.50, which isn't the final answer.

You would then subtract 10.50 from the $30 that was asked for at the beginning by the retailer.

Your final answer is $19.50. :) Which isn't a bad deal if I say so myself.

3 0

2 years ago

Find the equation of a line that passes through the point (2,1) and has a gradient of 2. Leave your answer in the form ax + by =

Arte-miy333 [17]

Step-by-step explanation:

normally, if we have the gradient (or slope of inclination or change rate) and a point, we start using the point-slope form :

y - y1 = a(x - x1)

with (x1, y1) being a point on the line, and a being the slope of gradient (or ... however you want to call it).

y - 1 = 2(x - 2) = 2x - 4

y + 3 = 2x

2x - y = 3

8 0