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Trava [24]
3 years ago
9

Find an equation of the circle that has center (−1,2) and passes through ( 2,−2) .

Mathematics
1 answer:
user100 [1]3 years ago
8 0
Equation of a  circle that has a center at (h,k) and radius of r is
(x-h)²+(y-k)²=r²

so

given center (-1,2)
(x-(-1))²+(y-2)²=r²
(x+1)²+(y-2)²=r²

sub the other point to find r or r²

it passes through (2,-2)
sub 2 for x and -2 for y

(2+1)²+(-2-2)²=r²
(3)²+(-4)²=r²
9+16=r²
25=r²
5=r


the equation is
(x+1)²+(y-2)²=5²
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Which of the expressions can you use to find the number of 3-digit passwords you can make using the digits 5, 6, and 7, if you d
allochka39001 [22]
Hello,

Codes are :
5_6_7, 5_7_6

6_5_7,6_7_5

7_5_6,7_6_5

Choising the first (3 possibilities)
next choising the second (2 possibilities)
chosing the last  (1 possibility)

So 3*2*1=6

Answer A

5 0
3 years ago
I need help with this may question
Anastaziya [24]
The answer is 3) 400
3 0
3 years ago
Read 2 more answers
I need answers asap... please
aleksandrvk [35]

Answer:

see explanation

Step-by-step explanation:

(4)

consider the left side

factor the numerator

cosx - cos³x = cosx(1 - cos²x)

\frac{cosx(1-cos^2x)}{sinx}[/tex = [tex]\frac{cosxsin^2x}{sinx}

cancel sinx on numerator/denominator

= cosxsinx =right side ⇒ verified

(5)

Consider the left side

expand the factors

(1 + cotΘ)² + (1 - cotΘ)²

= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ

= 2 + 2cot²Θ

= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ

= 2cosec²Θ = right side ⇒ verified

(6)

Consider the left side

the denominator simplifies to

cosxtanx = cosx × \frac{sinx}{cosx} = sinx

\frac{sin^2x(secx+cosecx)}{sinx}

= sinx( \frac{1}{cosx} + \frac{1}{sinx})

= \frac{sinx}{cosx} + \frac{sinx}{sinx}

= tanx + 1 = right side ⇒ verified











3 0
3 years ago
Evaluate x+2.7 for x=-1.5
jonny [76]

Answer:

1.2

Step-by-step explanation:

First make -1.5 equal to 0.

We'll have to add 1.5, right?

So 1.5 is in 2.7.

So now its 0 + ? = ?

2.7 - 1.5 = 1.2

So 0 + 1.2 = 1.2

Hope this helped.

3 0
3 years ago
What's the value of x in the equation: 10x-6=5x34
Snowcat [4.5K]

Answer:

8

Step-by-step explanation:

10x-6=5x+34

-5x -5x

5x-6=34

+6 +6

5x=40

---- ----

5 5

x= 8

// have a great day //

8 0
3 years ago
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