The equation 2x2+2y2−8x−12y+16=0 2 x 2 + 2 y 2 − 8 x − 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct.

(2x2−8x+16)+(2y2−12y+36)=−16+36
(
2
x
2
−
8
x
+
16
)
+
(
2
y
2
−
12
y
+
36
)
=
−
16
+
36

(x−4)2+(y−9)2=5
(
x
−
4
)
2
+
(
y
−
9
)
2
=
5

(x2−4x+4)+(y2−6y+9)=−8+13
(
x
2
−
4
x
+
4
)
+
(
y
2
−
6
y
+
9
)
=
−
8
+
13

x2+y2−4x−6y=−16
x
2
+
y
2
−
4
x
−
6
y
=
−
16

(x−2)2+(y−3)2=5

Answer:

11. 10x^2 - 13x - 3

12. 5x^2 + 18x + 5

Step-by-step explanation:

11. Product means multiplication, so you can multiply (5x + 1) and (2x - 3).

[tex](5x + 1) * (2x - 3)[/tex] - Using the FOIL (First+Outer+Inner+Last)

So: [tex](5x*2x) + (5x*-3) + (1*2x) + (1*-3)\\10x^{2} -15x + 2x -3\\10x^{2} -13x -3[/tex]

12. [tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)[/tex] (So, you distribute the 2 to x^2 + 5x + 30, then combine like terms).

[tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)\\3x^{2} + 8x - 1 + 2x^{2} +10x + 6\\(3x^{2} +2x^{2}) + (8x + 10x) + (-1+6)\\5x^{2} + 18x + 5[/tex]

Hopefully, this helped you. Good luck & have a good day!

Answer:

Hello, the answer for your question is c (the expression has a variable in the denominator of a fraction)

Step-by-step explanation:

Answer:

a = 30/5 = 6

Step-by-step explanation:

Answer:

a = 6

Step-by-step explanation:

You need to try to get "a" alone.

So, since the equation shows a is being multiplied by 5, you need to divide it by 5 to get "a" alone.

Whatever you do to one side, you must do the same to the other side.

So basically, you divide both sides by 5 to find "a"

Answer:

Likely

Step-by-step explanation:

The probability of occurrence of a certain event Given as 95% has a high probability figure and hence such event is LIKELY to occur. We cannot class this probability percentage as certain because, an event which is certain to occur who'll have a probability percentage of 100% or a value of 1. Therefore, a probability percentage of 95% occurrence still has 5% Chace of not happening, hence it is only very likely to occur. Hence, the phrase which best describes the probability of an event with 95% probability happening is LIKELY.

Answer:

20

Step-by-step explanation:

Answer:

h = 14

Step-by-step explanation:

just substitute the x value and calculate for h

x = (-18)

h = 17 + -(18)/6

h = 17 + (-3)

h = 17 - 3 = 14

Answer:

Slope: -1/2

Step-by-step explanation:

Take a look at the slope formula

2-(-4)/3-(-1)

=-2/4

=-1/2

You calculate wall-length like this.

Measure the length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length. Subtract areas that will not be covered.

Answer:

28

Step-by-step explanation:

Answer:

A

cuz polynomials cannot have negative exponents

Step-by-step explanation:

Answer:

3)x=7,y=-2

Step-by-step explanation:

Answer:

3, (7, -2)

4, no solution

Step-by-step explanation:

Answer:

170 divided by 30 or calories divided by minutes

Step-by-step explanation:

the answer could be either but they both mean the same thing just in different words

Answer:

Rational.

Step-by-step explanation:

Natural numbers are numbers 1 through infinite.

Whole numbers are numbers 0 through infinite.

Integers are negative numbers (No decimals nor fractions)

Rational numbers are fraction/decimal numbers (can be negative).

Irrational numbers are squared numbers.

Real numbers includes all of the above mentioned.

Hope this helps.

Answer:

A. rational numbers

Step-by-step explanation:

-1/4 belongs to rational number

Answer:

42.5389

Step-by-step explanation:

Answer:

Yes, they are congruent.

Step-by-step explanation:

Supplementary angles equal up to 180°.

70+40 = 110

180 - 110 = 70.

Angle BAE is 70°.

And, angle ADC is 70° as well.

Therefore, the pink arcs are congruent.

Answer:

Angle of 1 and 3 as 90*

Step-by-step explanation:

This is because all angles are the same meaning all angles are 90*. Even 1 and 3. Brainiest and a thank you?!

Answer:

We really aren't provided with enough information to give you the answer. I'll explain how to find them, but you should comment on my response and tell be if it gives you any values at all to work with.

So, ∠1 and ∠3 are vertical angles, which means they are equal to each other.

Along with that, ∠2 and ∠4 and also vertical angles, so they're equal to each other as well.

Now we have the information:

∠1 = ∠3

and

∠2 = ∠4

__________________________________________________________

Given that both of the two lines are intersecting, each angle has two angles that it is supplementary to.

Supplementary angle are angles that when added together equal exactly 180°.

A perfectly straight line's angle it 180°.

Using this knowledge, you can find that ∠1 is supplementary to ∠2, ∠2 is supplementary to ∠3, ∠3 is supplementary to ∠4, and ∠4 is supplementary to ∠1.

If that's still confusing, here's it explained simpler:

∠1 + ∠2 = 180°

∠2 + ∠3 = 180°

∠3 + ∠4 = 180°

∠4 + ∠1 = 180°

__________________________________________________________

But still - you haven't given us the information to find these values. Are you given even one angle measurement to work with?? If so, comment it here and I'll work it out for you.

Answer:

35g^2 +38g +8

Step-by-step explanation:

Given:

The coordinate of point R in quadrilateral RUST are (2,4).

R is dilated by a scale factor of 3, centered at the origin, followed by the translation [tex](x, y)\to (x+4,y)[/tex].

To find:

The coordinates of R' after dilation and translation.

Solution:

If a figure is dilated by a scale factor of 3, centered at the origin, then

[tex](x,y)\to (3x,3y)[/tex]

We value R(2,4).

[tex]R(2,4)\to R_1(3(2),3(4))[/tex]

[tex]R(2,4)\to R_1(6,12)[/tex]

The rule of translation is:

[tex](x, y)\to (x+4,y)[/tex]

Using this rule, we get

[tex]R_1(6,12)\to R'(6+4,12)[/tex]

[tex]R_1(6,12)\to R'(10,12)[/tex]

Therefore, the coordinates of point R' are (10,12) and the correct option is B.

Answer:

5 pounds.

Step-by-step explanation:

22 - 17 = 5

Answer:

m=0

Step-by-step explanation:

the formula given for slope (m) calculated from two points is given as (y2-y1)/(x2-x1)

we are given the points (10,3) and (2,3)

label the values of the points to use for the formula:

x1=10

y1=3

x2=2

y2=3

plug into the formula

m=(3-3)/(2-10)

subtract

m=0/-8

divide

m=0

therefore, the slope is 0

Hope this helps! :D

0/-8

i’m not very good at explaining but that is the answer ^^

Answer:

$5.00

Step-by-step explanation:

$5 because it occurs the most

Answer:

$5

Step-by-step explanation:

The mode is the price that appears the most often in a given list.

Answer:

3.9

Step-by-step explanation:

i need more detale """))

Answer:

0.2 is 8% of 2.5

Step-by-step explanation:

question: what percent of 2.5 is 0.2

paraphrased: 0.2 is what fraction of 2.5 (then convert to percent)

make into fraction

0.2/2.5

=2/25

therefore 0.2 is 2/25ths of 2.5  !

to convert to percentage, make the denominator /100

2/25

multiply by 4 both sides

= 8/100

8 out of 100 is 8%

=8%

hope this helps !

Answer:

50

Step-by-step explanation:

so if 16 ounces are in each pound

lets multiply 12 x 16 = 192

now we have the pounds out add the leftover ounces

192 + 8 = 200

now that we can divide, but wait there is more to make its easier!

if 4 x 5 = 20

and 4 x 100 = 400

lets do 4 x 50 = 200

so now that 4 x 50 = 200

Miss Laura can make 50 batches of cookies.

why are these math questions so weird for elementary schoolers?

Step-by-step explanation:

You need to find the function

Answer:

-3 and -5

Step-by-step explanation:

because two negatives equal a positive

idek if this is correct

sorry if its not

Answer:

=0.75

=3/4

=75%

Step-by-step explanation:

0.75 is 75% as a percentage,

And 3/4 as a fraction.

Answer:

y=x+5 or y=1x+5

Step-by-step explanation:

i hope this helps :)