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4 years ago

What is the radius of a circle whose equation is x2 + y2 – 10x + 6y + 18 = 0? how many units?

2 answers:

5 0

$(x-a)^2+(y-b)^2=r^2$
$x^2 + y^2 - 10x + 6y + 18 = 0\\\\ x^2-10x+y^2+6y+18=0 \\\\ (x-5)^2-25+(y+3)^2-9+18=0\\\\ (x-5)^2+(y+3)^2=16\\\\ r^2=16$
$r = \sqrt{16} \\\\ r=4$

Reptile [31]4 years ago

4 0

(X^2.5x+25)+(y^2.3y+9)+18-25-9=0
(X-5)^2+(y+3)^21=16
Radius is 4

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: Write the equation of the line in Point-Slope Form given the information below. Slope=-2 Point=(1,-1)

natulia [17]

Answer: y+1=-2(x-1)

Step-by-step explanation:

The point-slope formula is $y-y_{1}=m(x-x_{1})$ . Since we know the coordinate and slope, we can directly plug them in.

$y-(-1)=-2(x-1)$

$y+1=-2(x-1)$

6 0

3 years ago

Doubling the dimensions of a rectangle increases the area by a factor of 4.

aksik [14]

p → q represents the original conditional statement and the contrapositive of the original conditional statement. Then the correct options are A and E.

The missing options are given below.

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There is no effect of dilation on the angle.

Doubling the dimensions of a rectangle increases the area by a factor of 4.

If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.

Then the true statement will be

Then the correct options are A and E.

More about the dilation link is given below.

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8 0

2 years ago

Of the second grade students at Hirsch Elementary, 16/20 like stuffed animals. Of the students who like stuffed animals, 4/12 pr

Lapatulllka [165]

Answer:

4 / 15

Step-by-step explanation:

Fraction that likes stuffed animal = 16/20

4/12 of fraction who like stuffed animals prefer shaggy ones ;

Fraction of second grade that like stuffed shaggy animals ;

4/ 12 of 16/20

(4 /12) * (16 / 20)

(4 * 16) / (12 * 20)

= 64 / 240

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4 0

3 years ago

A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the

Lilit [14]

Answer:

6 hours

Step-by-step explanation:

Let the labor hours be x.

The bill comprises of parts cost plus labor cost. Labor cost is hours times the cost per hour. Then we have equation:

265 + 48x = 553
48x = 553 - 265
48x = 288
x = 288/48
x= 6

So the answer is 6 hours.

4 0

3 years ago

Simplify -2/3÷ 3 3/4

Rina8888 [55]

Answer:

-8/45

Step-by-step explanation:

Change 3 3/4 into an improper fraction = 4/15
To change it into multiplication put the dominator on the top = -2/3 × 4/15
Then multiply it.
= -8/45

8 0

3 years ago