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3 years ago

Write the equation of a circle with a center at (15, –35) and a diameter of 100.

Mathematics

1 answer:

Oxana [17]3 years ago

5 0

(x-15)2+ (y+35)2=2500. for sure without a doubt.

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Use CALCULUS to find coordinates of the turning point on C.

antiseptic1488 [7]

Oi

Just calculating the differential. Step by step:

$y=12 \sqrt{x} -x \frac{3}{2}-10 \\ \\ y=12x^{ \frac{1}{2} } -x \frac{3}{2}-10 \ \ \ \boxed{transform \ \sqrt{x} =x^{ \frac{1}{2} }} \\ \\ Differentiating \\ \\ y'=12. \frac{1}{2}.x^{ \frac{1}{2}-1 } -1.x^{1-1}. \frac{3}{2}-0 \\ \\ y'=6.x^{ -\frac{1}{2} } -x^{0}. \frac{3}{2} \\ \\ y'=6. \frac{1}{x^{ \frac{1}{2} }} -1. \frac{3}{2} \\ \\ \boxed{y'=\frac{6}{ \sqrt{x} } -\frac{3}{2}}$

If you want to know where the tangent has no slope:

$\frac{6}{ \sqrt{x} } - \frac{3}{2} =0 \\ \\ \frac{6}{ \sqrt{x} } = \frac{3}{2} \\ \\ 3 \sqrt{x} =12 \\ \\ \sqrt{x} = \frac{12}{3} \\ \\ \sqrt{x} =4 \\ \\ (\sqrt{x})^2 =4^2 \\ \\ x=16$

3 0

3 years ago

Explain this please!

vazorg [7]

Answer:

435 ft

Step-by-step explanation:

area of triangle:

A = (b x h) : 2

A = (15 x 4) : 2

A = 60 : 2

A = 30 ft

area of rectangle:

A = b x h

A = 25 x 15

A = 375 ft

area of the yard = area of the triangle + area of the triangle + area of the rectangle (Here, both triangles have the same area.)

area of the yard: 30 + 30 + 375 = 435 ft.

So, the area of the yard is 435 ft.

I hope this was helpful. :)

Please, do me Brainliest!

5 0

3 years ago

Break apart the number you are subtracting 53-16

krek1111 [17]

The answer is: 37

hope this helps

6 0

3 years ago

Which statement best describes the faces that make up the total surface area of this composite solid?

Elena L [17]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Secants BE and CF intersect at point D inside A. What is the measure of CDE?

Aleks04 [339]

MCE = 360 - (150 + 70 + 50)
mCE = 360 - 270
mCE = 90

<CDE = 1/2(mBE + mCE)
<CDE = 1/2(150 + 90)
<CDE = 1/2(240)
<CDE = 120

answer
<CDE = 120°

6 0

3 years ago