Complete the square to find the standard form for this circle: x^2 + 4x + y^2 + 16y - 20 = 0​

Answers

Answer 1

Step-by-step explanation:

x² + 4x + y² + 16y - 20 = 0

(x² + 4x + 4) + (y² + 16y + 64) - 4 - 64 - 20 = 0

(x + 2)² + (y + 8)² = 88.


Related Questions

SOMEONE PLEASE HELP !!!!!

Answers

Answer:

I can't see the pictures clearly but its between Option A and Option C

Step-by-step explanation:

[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{60-20}{42-14}=\frac{40}{28}=\frac{20}{14}=\frac{10}{7}[/tex]

Slope = [tex]\frac{10}{7}[/tex]

[tex]y-y_{1}=m(x-x_{1} ) \\\\y-20=\frac{10}{7}(x-14)\\\\y-20=\frac{10}{7}x-20\\\\y=\frac{10}{7} x[/tex]

y-intercept = origin (0, 0)

CAN YOU PLEASE HELP ME PLZZZZ!!!!!!!!!!!!
It costs a shoe company $23.74 to produce one pair of running shoes. The company sells each pair of shoes for $83.12 in stores. If the company sells 187 pairs of running shoes in the month of March, what is the company's approximate profit from running shoes in March?

A.

$11,033.00

B.

$15,521.00

C.

$20,009.00

D.

$11,220.00

Answers

Answer:

Step-by-step explanation:

D

find the slope of the line​

Answers

Answer:

The slope is 3

Step-by-step explanation:

Rise / Run

3 / 1

= 3

ExplanationCalculate the slope by finding two coordinate points that are part of the graph and use rise over run formula.

[tex](1,3) \: \: \: (0,0)[/tex]

These two coordinate points are part of the graph.

[tex]m = \frac{rise}{run} \Longrightarrow \frac{y_2 -y_1 }{x_2 - x_1} [/tex]

[tex]m = \frac{3 - 0}{1 - 0} \\ m = \frac{3}{1} \longrightarrow 3[/tex]

Answer

[tex] \large \boxed{m = 3}[/tex]

Find two consecutive whole numbers that 37 lies between.
and
?

Answers

Answer:

The two consecutive integers are 18 and 19.

What is 11/12 divided 2 5/8

Answers

Answer:

2 2/21

Step-by-step explanation:

11/2 ÷ 2 5/8

= 11/2 ÷ 21/8

= 11/2 × 8/21

= 88/42

= 44/21

= 2 2/21

Hence 11/2÷2 5/8 is 2 2/21

Jan's house has four leaking taps. An average of 34 cL of water leaks from each tap every day. How many litres of water is lost from these four taps in August?

Answers

Answer: 42.16l

Step-by-step explanation:

First, we should note that August has 31 days. Since Jan's house has four leaking taps and an average of 34 cL of water leaks from each tap every day. The four taps will leak (34 × 4) = 136 cL everyday.

The amount of litres of water that is lost from these four taps in August would be:

= 136cL × 31

= 4216 cL

= 42.16L

We should note that 100cL = 1L

select all the correct answers
what is 9,150,000,000,000,000,000 expressed in scientific notation

9.15 × [tex]10^{18}[/tex]
9.15E18
9.15E-18
9.15E-19
9.15 × [tex]10^{19}[/tex]
9.15E19
9.15 × [tex]10^{-19}[/tex]
9.15 × [tex]10^{-18}[/tex]

Answers

Answer:

8.) 9.15 x 10^18

Step-by-step explanation:

to get scientific notation, you move the decimal place until all numbers except one are past the decimal. If you move it to the left, the exponent is postitive. If you move it to the right, it's negative. So, 9,150,000,000,000,000,000 expressed in scientific notation is 9.15 x 10^18 because you moved the decimal 18 spaces to the left.

The number 9,150,000,000,000,000,000 expressed in scientific notation will be 9.15 × 10¹⁸ or 9.15E18. Then the correct options are A and B.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The number is given below.

⇒ 9,150,000,000,000,000,000

The number represented in the scientific notation will be given as,

⇒ 9,150,000,000,000,000,000

⇒ 9.15 × 10¹⁸

⇒ 9.15E18

The number 9,150,000,000,000,000,000 expressed in scientific notation will be 9.15 × 10¹⁸ or 9.15E18. Then the correct options are A and B.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

A ________ ________ is a symbol used to separate the ones place from the tenths place in decimal numbers.​

Answers

Answer:

Decimal

Step-by-step explanation:

A DECIMAL is a symbol used to separate the ones place from the tenths place in decimal numbers.

what is _-_=13 fill in the gaps

Answers

14-1= 13 or it can be 16-3 =13

Answer: ↓↓

Step-by-step explanation:

14 - 1 = 13

15 - 2 = 13

16 - 3 = 13

17 - 4 = 13

18 - 5 = 13

19 - 6 = 13

20 - 7 = 13

21 - 8 = 13

22 - 9 = 13

23 - 10 = 13

24 - 11 = 13

25 - 12 = 13

Here lol hellllp +star & +13 points

Answers

you'd graph y = 6 by plotting a horizontal line across the 6 on the y-axis (the vertical line down the middle)

Answer:

Step-by-step explanation:

please help someoneee

Answers

Answer:

it's answer is 89 mm

Step-by-step explanation:

Perpendicular (p) = 80 mm

base(b) = 39 mm

hypotenuse (h) = ?

By using Pythagoras theorem,

h = √( p² + b²)

= √ ( 80² + 39²)

= √7921

=√(89)²

= 89 mm

Answer:

89 mm

Step-by-step explanation:

Use the pythagorean therom to solve for the hypotenuse which is (c).

Ex: a^2+b^3=c^2

Subsitute

80^2+39^2=c^2

6400+1521=c^2

6400+1521=c^2

Add

6400+1521=7921

Now you have the following equation...

7921=c^2

Sqaure both sides of the equation

sqrt7921=sqrtc^2

89=c

So C=89 mm there you go :)

MARK ME BRAINLISET THANKS!!!

Can anybody answer this ??

Answers

Answer:

A

Step-by-step explanation:

the slope is rising by 1 and run by run, remember rise over run. the y intercept is 2 so it's +2.

Solve for a: 2a + 8b = 4c

Answers

the answer is
a=2c-4b

Answer:

a=2c-4b

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain variables.

Mr. Mathes purchases 4 tickets for his family.
Find the value of the expression when t = 4.

Answers

Answer:

8t+2=8(4)+2

   =32+2

Step-by-step explanation:

I was on the same problem and this was correct. Hope this helps!!

Can someone answer these three questions please ? ..

Answers

1) D. 4
2) D. (1, 2)
3) B. A and B

Rewrite the following equation in slope-intercept form.

y + 5 = 1/7( x - 7 )

Write your answer using integers, proper fractions, and improper fractions in simplest form.

I would really appreciate the help.

Answers

Answer:

y= 1/7x-6

Step-by-step explanation:

that is the answer in slope intercept form

PLEASE HELP!!

Match the reasons to complete the proof.

Answers

Answer:

It's blurry

Step-by-step explanation:

A number divided by the sum of 4 and 7.

Answers

Answer:

11

Step-by-step explanation:

Please help. 20 points! and brainliest!
( Zoom in if you cant see )

Answers

Answer:

15 : 175    16: 10   17: 2.5 meters

Step-by-step explanation:

15: 350 - 175    16: 25 - 15    17 since there are 100 centimeters in a meter just count and you will get the answer

m∠2 = 4x + 4 and m∠1 = 5x − 2. Find x.


SHOW WORK

I ONLY NEED THE WORK!!!!!

Answers

Answer:

x = 6

Step-by-step explanation:

angles 1 and 2 are equal because the entire angle is bisected

so, 5x - 2 = 4x + 4

x - 2 = 4

x = 6

If you substitute 6 into each expression, they should be equal:

4(6) + 4 = 5(6) - 2

24 + 4 = 30 - 2

28 = 28

use the substitution method to solve the system of equations. choose the correct ordered pair

Answers

Answer:

x = 3

y = 21

(3,21) and if u want slope it will be 7 :D

Step-by-step explanation:

y = 10x - 9

y = x + 18

1. Substitute for the y

10x - 9 = x + 18

2. Add 9 onto both sides

10x - 9 + 9 = x + 18 + 9

10x = x + 27

3. Subtract x on both sides

10x -x = x - x+ 27

9x = 27

4. Divide by 9 on both sides

9x/9= 27/9

x = 3

__________________________________________________________

Now that you have x, substitute that into one of the equations

y = x + 18

y = 3 + 18

y = 21

or  

y = 10x - 9

y = 10(3) - 9

y = 30 - 9

y = 21

there both the same

__________________________________________________________

x = 3

y = 21

Hope this helped!

Answer:

x +18 = 10x -9 (since they both = y, set them equal to each other. )

-9x +18 = -9 (subtract 10x from both sides, then subtract 18 from both sides)

-9x = -27 (divide both sides by -9 to isolate x)

x= 3 (take this and plug it into one of the equations to solve for y)

y = x +18 (i choose this one)

y = 3+18 (add)

y = 21 (take this and x and make a point and that's your answer)

(3,21) or C

Step-by-step explanation:

I hope this helps :)

2. What is the y-intercept of this graph?
O A. 1
O B.-2
O C. 2
O D.-4

Answers

Answer:

1

Step-by-step explanation:

Because it is where the like crosses with the y axis

the y intercept is always on the y axis so it’s 1

PLEASE HELP, MARKING BRAINLIEST!!!

Polygon ABCD is congruent to polygon FGHJ. Given the information below, what is the measure of both angles?

Answers

3y = y + 50
2y = 50
y = 25

ANGLE B
3(25)
75

ANGLE G
25 + 50
75

I need helppp plzzz :((

Answers

Answer:

u=8

3u+5u=64

8u=64

u=8

finish

Hey there!

FIRST: you have to SIMPLIFY BOTH SIDES of your given EQUATION (there’s approximately 3 ways but we will use 2)

• 3u = 64 – 5u

• 3u = –5u + 64

SECOND: ADD by 5u on BOTH SIDES

• 3u + 5u = –5u + 64 + 5u

• CANCEL: –5u + 5u because that gives you 0

• KEEP: 3u + 5u because it can help us solve for you u-value

“3u + 5u = 8u”

New equation: 8u = 64

THIRD: DIVIDE by 8 on BOTH SIDES

• 8u/8 = 64/8

• CANCEL out: 8u/8 because that gives you 1

• KEEP: 64/8 because that gives you your u-value

“64/8 = u”

“64/8 = 8”

• Therefore your ANSWER: u = 8 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

help me on math pleaseee

Answers

Answer:

its too blurry

Step-by-step explanation:

Answer:

slope intercept form is -2/3 for the first one

what is the square root of 3(125/5-8)

Answers

square root(3) * ((125 / 5) - 8) =

29.44

that's the final answer.

if possible please give me a brainliest. tnx good day

51...................

Is this correct pls help

Answers

Answer:

I think it's right

but plz let me know if im wrong

Step-by-step explanation:

PLEASE ANSWER AS QUICKLY AS POSSIBLE!!

Answers

Answer:

y=-3x-3

Step-by-step explanation:

Recall that slope intercept form is written exactly the way it's described: it gives you the slope of the line, then its y-intercept.

So first we can look at the graph, and see that for every 1 unit traveled to the right, the line travels 3 units down.  Therefore our slope is -3.

Now we look for the y-intercept - we see the line intersects the y-axis at -3.

So our equation is:

y = -3x - 3

Which Ordered Pair Is A Solution For The System Of Equations?

3x-5y=15
2x-y=-4

A. (0,3)
B. (-5,-6)
C. (2,8)
D. (-6,-11)

Answers

Answer:

b

Step-by-step explanation:

because

3×(-5)-5×(-6)=15

2×(-5)-(-6)=-4

Candice is taking a group nature hike in a park. There is a
$11.00 fee just to enter the park. In addition, the tour
group charges $0.14 per mile they hike. She brought
$81.00 with her. Find the maximum amount of miles
Candice can hike.

Answers

Answer:

500 miles

Step-by-step explanation:

81-11 is 70. 70 divided by .14 is 500 so that's 500 miles she can bike.

Answer:

500 miles

Step-by-step explanation:

To find out how many miles Candice can hike at max, use the equation 11 + 0.14x = 81.

11 + 0.14x = 81

Subtract 11 from both sides. This undoes the +11.

0.14x = 81 - 11

Subtract 11 from 81 to get 70.

0.14x = 70

Divide both sides by 0.14. This undoes the multiplication by 0.14.

x = 70/0.14

I recommend converting 0.14 into a fraction. That would be 7/50.

x = 70/(7/50)

Find the reciprocal of 7/50 (50/7). Switch the sign from division to multiplication.

x = (70 * 50)/7

Multiply 70 by 50 to get 3500.

x = 3500/7

Divide 3500 by 7 to get 500.

x = 500

At max, Candice can hike 500 miles.

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