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Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

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

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

Answer:

40

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

gradient M= change in Y / change in X

= (-16--6)/(-6-4)

= -10/-10

M therefore= 1

Answer: $113.89

Step-by-step explanation:

108.99 * 0.045

= 4.90455

108.99 + 4.90455

= 113.89455

$113.89

Answer:

Total Cost = $113.89

Step-by-step explanation:

Total Cost = Cell phone cost + sale Tax % ( cell phone cost)

Total Cost = $108. 99 + .045 × $108.99

Total Cost = $108.99 + $4.90455

Total Cost = $108.99 + $4.90

Total Cost = $113.89

Answer:

16 I guess.

Step-by-step explanation:

lolololololol?

[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]

Answer:

x=10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

6x-7 = 26+2x+7

Combine like terms

6x-7 = 2x+33

Subtract 2x

6x-7-2x =2x+33-2x

4x-7 = 33

Add 7 to each isde

4x-7 +7 = 33+7

4x=40

Divide by 4

4x/4 = 40/4

x=10

Answer:

Right tail of 10% = +1.2816

------------------------------

minimum price = -1.2816*15000+ 246,300 = $227,076.73

maximum price = +1.2816*15000 + 246,300 = $265,524.00

======================

Cheers,

Stan H.

Step-by-step explanation:

By isosceles triangle theorem,

Angle ZXY = Angle ZYX

The sum of the angles in a triangle is 180 degrees.

106 + 2 same angles (-106) = 180 (-106)  (Subtract 106 by both sides)

2 same angles (/ 2) = 74 (/ 2)   (Divide 2 by both sides)

V = 37

Answer:

The value of v is 37°.

Step-by-step explanation:

Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:

Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,

∠ZXY + ∠ZYX + ∠XZY = 180°

v + v + 106° = 180°

2v + 106° = 180°

2v = 180° - 106°

2v = 74°

v = 74 ÷ 2

v = 37°

(x • (y³)) - 32xyz²

Pull out like factors :

xy³ - 9xyz² = xy • (y² - 9z²)

Factoring: y² - 9z²

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : y² is the square of y¹

Check : z² is the square of z¹

Factorization is : (y + 3z) • (y - 3z)

Final result :

xy • (y + 3z) • (y - 3z)

Answer:

17.5

Step-by-step explanation:

i solved it and got that answer. hope this helps =)

Answer:

use this equation: GPE=mgh

Step-by-step explanation:

GPE = gravitational potential energy = J

m = mass = Kg

g = gravitational field = N/kg = world's gravitational field is 9.8N/kg

h = height = m

Step-by-step explanation:

4b + z I think lol I honestly looked it up

Answer:

3.33

Step-by-step explanation:

3.33

mixed number= 3 1/3

Answer:

3 1/3

Step-by-step explanation:

[tex]\frac{\frac{2}{3}}{\frac{1}{5}}[/tex] =

[tex]\frac{2}{3} * \frac{5}{1} = \frac{10}{3}[/tex]

10/3 = 3 1/3

-Chetan K

Answer:

A- 8x+9

Step-by-step explanation:

------------------------------------------

5x + 3 (x + 2) + 3

5x + 3x + 6 + 3

8x + 6 + 3

8x + 9

<3

Answer:

8: 207

x: 143

and solve that to get your answer

The required answers are-

(a) The crew been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given equation to pave a road is,

L(d) = 207– 8d

where, length, L (in miles), and d days.

(a) For 143 miles of the road is left to be paved, the number of days is given as-

Put Length L(d) = 143 in the equation to pave a road

we get,

143 = 207– 8d

or, 8d  = 207– 143

or, 8d  = 64

or, d  = 64/8

⇒ d  = 8 days

So, The crew have been paving the road for 8 days.

(b) miles of the road have left for the crew to pave after 13 days.

Put d = 13 days in the equation to pave a road

we get,

L(d) = 207– 8*13

or, L(d) = 207– 104

⇒  L(d) = 103 miles

So,103 miles of the road have left for the crew to pave after 13 days.

Thus,The required answers are-

(a) The crew have been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

To learn more about roads:

brainly.com/question/1196760

#SPJ2

Answer:

3 / (3t+4) is the answer

Answer:

sorry i can answer that the asy

Answer:

Q1 - 10080

(sorry couldn't do q2 haha)

step by step;

If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.

Answer:

52 pages

Step-by-step explanation:

Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.

52 pages times 1 hour equals 52 pages.

52 x 1 = 52

Answer:

(-5,-9)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Translate the given into two pairs of coordinates:

Work out the equation of the line passing through both of the points.

Find the slope:

Find the y-intercept:

The line is:

Find the value of y when x = 1500:

Answer:

Answered is x= 55x

Step-by-step explanation:

13x+10 * 12x+20

soln:

or, 13x+12x+10+20

or, 25x+30

:., therefore, x=55x

Answer:

Yes

Step-by-step explanation:

Area rule is correct

Answer:

26 1/4 minutes or 1635 seconds

Step-by-step explanation:

Lin runs 4 laps in 5 minutes. You must turn this into a unit rate. In order to do this, you divide 4 laps by 4 to get 1 lap. To get the equivalent, you also have to divide 5 minutes (300 seconds) by 4. This will get you one lap for every 75 seconds. Because Lin ran 21 laps, see how many times 4 can go into 20 using a remainder if necessary. 4 can go into 21 5 times with a remainder of 1. 4*5=20 5*5=25. Now you add 75 seconds because you have an extra lap.

Answer:

the answer is expkained below

Answer:

Evans dog would weigh 39 pounds

Step-by-step explanation:

117= 3 × X

Take 117 and divide it by 3 and the answer we would get is 39

117 ÷ 3 = 39

To double check the answer we could multiply 39 by 3 to see if we 117.

39 × 3 = 117

X= 39 pounds, so Evans dog is 39 pounds

Answer:

358 steps

Step-by-step explanation:

Step-by-step explanation:

i think this is the answer

Answer:

Step-by-step explanation:

Obtuse angle is the angle greater than 90°.

A right triangle has one 90° and the sum of remaining angles is 90°.

It means a right triangle can't have an obtuse angle.