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3 years ago

which of the following is a result of shiftinga circle with equation (×-2)+(y-3)^2= 25 to the left 2 unit ?

Mathematics

1 answer:

Paha777 [63]3 years ago

4 0

Answer:

x^2+(y-1)^2=25

Step-by-step explanation:

eqn of circle : (x-h)^2+(y-k)^2=r^2

center of circle = (h,k)

hence, the center of the current circle is (2,3)

moving 2 units to the left would make the center (0,1)

the radius would remain the same (5) , hence the new eqn would be

(x-0)^2+(y-1)^2=25

x^2+(y-1)^2=25

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1. what is the perimeter of the triangle?<br> 2. what is the area of the triangle?

jonny [76]

Answer:

See below. A=45 p=39.64

Step-by-step explanation:

Hi = 9 squares (h)

Gh= 14 squares. (b)

Area of a triangle = 1/2 bxh

1/2 14 x 9

7x9= 45.

Area =45 squares.

Perimiter

A= side hi (9)

B= side gh (14)

C= side gi (unknown)

A^2 + b^2 = c^2

9^2 + 14^2 = 277

C^2 = 277

Square root of 277 =c

C length =16.64 squares

A+b+c = perimeter

9+14+16.64 = 39.64 squares.

Sorry I cannot see the units of measure in the photo

7 0

3 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch radius A = sq. in.

katovenus [111]

$\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
\begin{cases}
s=length~of\\
\qquad a~side\\
-------\\
s=6
\end{cases}\implies A=\cfrac{6^2\sqrt{3}}{4}\implies A=\cfrac{36\sqrt{3}}{4}
\\\\\\
A=9\sqrt{3}$

8 0

3 years ago

Five gerbils cost p dollars. How many dollars will it cost to buy 1 gerbil? How many dollars will it cost to buy g gerbils? How

Fudgin [204]

5 gerbils = p dollars
1 gerbil = p/5 dollars
g gerbils = pg / 5 dollars

5/p gerbils = 1 dollar
5d/p gerbils = d dollars

4 0

3 years ago

Please help. Screenshot attachedn

NARA [144]

Answer:

x = -0.17 and x = -5.83

Step-by-step explanation:

We are asked to solve the quadratic equation

$x^2+6\,x+1=0$

We use the quadratic formula using a = 1, b = 6 and c = 1

for a general quadratic equation of the form: $ax^2+bx+c=0$

Then, the solutions are given by;

$x=\frac{-6+/-\sqrt{36-4\,(1)\,(1)} }{2} =\frac{-6+/-\sqrt{32} }{2}$

which produces the two following answers (rounded to two decimals):

x = -0.17 and x = -5.83

8 0

3 years ago

Find the area and perimeter of the square 6 meters

Mkey [24]

The formula for finding area of a square is:

$length \times width$

In a square, all the sides are the same. Each side is 6 meters long. Plug in 6 to the formula.

$length \times width \rightarrow 6 \times 6$

Multiply:

$6 \times 6 = 36$

The area of the square is 36 m²

<h2>PERIMETER</h2>

Perimeter is the distance around a shape. To find perimeter, you have to add all all the side lengths. The formula for finding perimeter is:

$2(l) \times 2(w)$

Remember that squares have 4 sides, and all length(s) and width(s) measure the same. The length and width measure the same. Plug in the numbers into the formula:

$2(l) + 2(w) \rightarrow 2(6) + 2(6)$

Simplify:

$2(6) + 2(6) = 12 + 12$

Add:

$12 + 12 = 24$

The perimeter of the square is 24 m

7 0

3 years ago

which of the following is a result of shiftinga circle with equation (×-2)+(y-3)^2= 25 to the left 2 unit ?​

which of the following is a result of shiftinga circle with equation (×-2)+(y-3)^2= 25 to the left 2 unit ?