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Ierofanga [76]
3 years ago
7

Write the equation of the circle centered at (-4,6) with a diameter of 16

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0
<span>Center:(-4,6)
The center of a circle is a point from which all points on a circle are the same distance.Radius:8
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".Diameter:16
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.Circumference or (or Permieter) = 2*π*R = 2*3.14*8 = 50.2654824574367
The circumference of a circle is the distance around it.Area:201.061929829747
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.</span>EquationStandard Form

The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x--4)2+(y-6)2=82
(x+4)2+(y-6)2=82
(x+4)2+(y-6)2=64

General Form

The general form for the equation of a circle is
x2 + y2 + Ax + By + c = 0
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x--4)2+(y-6)2=82
(x+4)2+(y-6)2=64
x2+8x+16+y2-12y+36=64
x2+y2+8x-12y-12=0


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The length of a rectangle is 7 ft longer than twice the width. If the perimeter is 92 ft find the length and width of the rectan
user100 [1]

Width of the rectangle is 13 ft and length of the rectangle is 33 ft

<u>Step-by-step explanation:</u>

Step 1:

Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.

92 = 2(2x + 7 + x) = 2(3x + 7) = 6x + 14

⇒ 92 = 6x + 14

⇒ 78 = 6x

⇒ x = 78/6

∴ x = 13 ft

⇒ Width of the rectangle = 13 ft

∴ Length of the rectangle = 2x + 7 = 26 + 7 = 33 ft

4 0
3 years ago
In triangle abc, cos A= -0.6. Find A and Tan A
Tresset [83]

Answer:

Part 1) A=126.87^o

Part 2) tan(A)=-\frac{4}{3}

Step-by-step explanation:

we have

cos(A)=-0.6

The cos(A) is negative, that means that the angle A in the triangle ABC is an obtuse angle and the value of the sin(A) is positive

The angle A lie on the II Quadrant

step 1

Find the measure of angle A

cos(A)=-0.6

using a calculator

A=cos^{-1}(-0.6)=126.87^o

step 2

Find the sin(A)

we know that

sin^2(A)+cos^2(A)=1

substitute the value of cos(A)

sin^2(A)+(-0.6)^2=1

sin^2(A)=1-0.36

sin^2(A)=0.64

sin(A)=0.8

step 3

Find tan(A)

we know that

tan(A)=\frac{sin(A)}{cos(A)}

substitute the values

tan(A)=\frac{0.8}{-0.6}

Simplify

tan(A)=-\frac{4}{3}

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After Ken Dial had his "‘aha’ moment" (line 41), he
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The correct option is c. how the birds dealt with gradually steeper inclines.

After Ken Dial had his "‘aha’ moment" (line 41), he observed how the birds dealt with gradually steeper inclines.

<h3>Who was Ken Dial?</h3>

In 1988, Dr. Dial was appointed as a biology professor at the of Montana. Dial was the creator and deputy director of the University of Montana Flight Laboratory, as well as the director of the University of Montana Field Research Facility at Fort Missoula.

Some key features regarding Ken Dial are-

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  • Dial is still a frequent keynote speaker at scientific & aeronautical conferences across the world.
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(x - 5)2 = x2 + 25<br> always or sometimes true???
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Answer: No real solution

Step-by-step explanation:

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Steve is buying a sandwich for lunch and some fresh fruit juice for his friends. The sandwich costs $3.92 and the fruit juice co
Jobisdone [24]

Answer:

Steve is buying a sandwich for lunch and some fresh fruit juice for his friends. The sandwich costs $3.92 and the fruit juice costs $0.80 per ounce. He can spend at most $23.52 on all the food items. How many ounces of juice, x, can he purchase and stay within his budget? Select the inequality that includes the largest amount of ounces of juice he can purchase and still stay under his budget

Step-by-step explanation: Steve is buying a sandwich for lunch and some fresh fruit juice for his friends. The sandwich costs $3.92 and the fruit juice costs $0.80 per ounce. He can spend at most $23.52 on all the food items. How many ounces of juice, x, can he purchase and stay within his budget? Select the inequality that includes the largest amount of ounces of juice he can purchase and still stay under his budget

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