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erastovalidia [21]
3 years ago
12

Which equation represents a circle with the same center as

Mathematics
2 answers:
Stolb23 [73]3 years ago
7 0

Answer:

(x - 4)² + (y - 5)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

(x - 4)² + (y - 5)² = 2

with centre (4, 5) and r = \sqrt{2}

The comparable equation with equivalent left side and r = 2 is

(x - 4)² + (y - 5)² = 4

ale4655 [162]3 years ago
6 0

Answer:

Yeah It's B

Step-by-step explanation:

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What are common factors of 18 roses and 30 what do they represent
VashaNatasha [74]

The common factors of the numbers 18 and 30 is 6

<h3>How to determine the common factors of the numbers?</h3>

The numbers are given as

18 and 30


Express 18 and 30 as a product of its factors

So, we have

18 = 2 * 3 * 3

30 = 2 * 3 * 5

Multiply the common factors in the above expression

Common factors = 2 * 3

Evaluate the product

So, we have

Common factors = 6

Hence, the common factors of the numbers 18 and 30 is 6

Read more about common factors at

brainly.com/question/219464

#SPJ1

3 0
1 year ago
Two trains leave Raleigh at the same time one traveling north and the other south the first train travels at 50 miles per hour a
Elis [28]

Answer:

<h2>2.5 hours</h2>

Step-by-step explanation:

Step one:

given data

for train one

speed= 50miles per hour

for train two

speed= 60miles per hour

the total distance between both trains=275miles

Step two:

the expression for speed= distance/time

so that, distance= speed*time

let the time be t

we are going to combine both distances

train one distance =50t

train two distance =60t

Hence total distance

50t+60t=275

110t=1=275

t=275/110

t=2.5 hours

<u>It will take 2.5 hours</u>

4 0
3 years ago
Please could you find the answers to the questions in the attachment.
Fudgin [204]
(\frac{x1+x2}{2} , \frac{y1+y2}{2})we need 3 equations
1. midpoint equation which is  (\frac{x1+x2}{2} , \frac{y1+y2}{2}) when you have 2 points

2. distance formula which is D= \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}

3. area of trapezoid formula whhic is (b1+b2) times 1/2 times height


so

x is midpoint of B and C
B=11,10
c=19,6
x1=11
y1=10
x2=19
y2=6
midpoint=(\frac{11+19}{2} , \frac{10+6}{2})
midpoint=(\frac{30}{2} , \frac{16}{2})
midpoint= (15,8)

point x=(15,8)



y is midpoint of A and D
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
midpoint=(\frac{5+21}{2} , \frac{8+0}{2})
midpoint=(\frac{26}{2} , \frac{8}{2})
midpoint=(13,4)

Y=(13,4)



legnths of BC and XY
B=(11,10)
C=(19,6)
x1=11
y1=10
x2=19
y2=6
D= \sqrt{(19-11)^{2}+(6-10)^{2}}
D= \sqrt{(8)^{2}+(-4)^{2}}
D= \sqrt{64+16}
D= \sqrt{80}
D= 4 \sqrt{5}
BC=4 \sqrt{5}





X=15,8
Y=(13,4)
x1=15
y1=8
x2=13
y2=4
D= \sqrt{(13-15)^{2}+(4-8)^{2}}
D= \sqrt{(-2)^{2}+(-4)^{2}}
D= \sqrt{4+16}
D= \sqrt{20}
D= 2 \sqrt{5}
XY=2 \sqrt{5}


the thingummy is a trapezoid
we need to find AD and BC and XY
we already know that BC=4 \sqrt{5} and XY=2 \sqrt{5}

AD distance
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
D= \sqrt{(21-5)^{2}+(0-8)^{2}}
D= \sqrt{(16)^{2}+(-8)^{2}}
D= \sqrt{256+64}
D= \sqrt{320}
D= 4 \sqrt{2}
AD=4 \sqrt{2}


so we have
AD=4 \sqrt{2}
BC=4 \sqrt{5} 
XY=2 \sqrt{5}

AD and BC are base1 and base 2
XY=height
so
(b1+b2) times 1/2 times height
(4 \sqrt{2}+4 \sqrt{5}) times 1/2 times 2 \sqrt{5} =
(4 \sqrt{2}+4 \sqrt{5}) times \sqrt{5} [/tex] =
4 \sqrt{10}+4*5=4 \sqrt{10}+20=80 \sqrt{10}=252.982


























X=(15,8)
Y=(13,4)
BC=4 \sqrt{5}
XY=2 \sqrt{5}
Area=80 \sqrt{10} square unit or 252.982 square units







7 0
3 years ago
Factor 10x^3 8x^2 - 6x. (<br> a.2x(5x 4x - 3) (<br> b.2x(5x 4x^2- 3) (<br> c.2x(5x^2 4x - 3)
Semmy [17]
You have to look at the equation and find a common factor bettween all parts. SO, we see they all have an x, so that is the first thing you can factor out. They also have 
2x(5x2 4x -3) C

4 0
3 years ago
Kelly can type 120 words in 3 minutes. at that ate, how many words can she type in 5 minutes?
madam [21]
\frac{120\ \text{words}}{3\ \text{minutes}} = \frac{40\ \text{words}}{1\ \text{minute}}

\frac{40\ \text{words}}{1\ \text{minute}} \times \frac{5}{5} = \frac{200\ \text{words}}{5\ \text{minutes}}

Kelly can type 200 words in five minutes.
5 0
3 years ago
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