Help please!!!!!!!!!!!!

Help Please!!!!!!!!!!!!

Answers

Answer 1

Step-by-step explanation:

1.

the y-intercept comes automatically from the given form, as the y-intercept is the y value when x = 0.

so, in

x² - 12x + 46

the y-intercept is 46, or as point (0, 46).

now to the vertex form and vertex itself.

the vertex form for such a quadratic equation is

y = a(x - h)² + k

with (h, k) being the vertex.

since we have a plain x² term in the basic expression, "a" must be 1.

so, we have the simpler version

y = (x - h)² + k = x² - 2hx + h² + k

so, let's compare this with our basic expression, and we see

-2h = -12

h = 6

h² + k = 46

6² + k = 46

36 + k = 46

k = 10

so, the vertex form is

y = (x - 6)² + 10

and the vertex is (6, 10)

2.

the equating of a circle is

(x - x1)² + (y - y1)² = r²

with (x1, y1) being the center of the circle, and r being the radius.

so, the center is then (3, -3), and the radius is sqrt(36)=6.

3.

as explained in 2. this would be

(x - 4)² + (y + 9)² = 3² = 9

4.

x² + y² + 6x - 2y + 9 = 0

this has to turn into

(x - x1)² + (y - y1)² = r²

x² - 2x×x1 + x1² + y² - 2y×y1 + y1² = r²

x² - 2x×x1 + x1² + y² - 2y×y1 + y1² - r² = 0

"x² + 6x" suggests that for x1 of the first term

6x = - 2x×x1

x1 = -3

and "y² - 2y" suggests for y1 of the second term

-2y = -2y×y1

y1 = 1

that gives us for the constant terms and radius

x1² + y1² - r² = 9

(-3)² + 1² - r² = 9

9 + 1 - r² = 9

1 - r² = 0

r² = 1

r = 1

so, the standard circle equation is

(x + 3)² + (y - 1)² = 1


Related Questions

A 2kg bag of flour provides enough flour for 25 rolls. How much flour is needed for 8 rolls in grams?

Answers

Answer:

640 gram 8 rolls

Step-by-step explanation:

2000 ÷ 25 = 80 gram 1 roll

80 × 8 = 640 gram 8 rolls

Please give me brainliest;)

In order to join a dancing club there is a $30 startup fee and a $4 monthly fee. Write an equation in slope intercept form that models this situation.

Answers

Answer:

y = 4x + 30

Step-by-step explanation:

The startup fee is $30 and must be paid before you begin.  This means that 30 in the y-intercept.  You pay $30 at 0 months.  Then you have to pay $4 every month after that.  This means that 4 is the slope.  So, after x months, the total amount you have paid, y, is  

y = 4x + 30

Hope this helps Love  :)

factorise :
2x^3-x^2-7x+6

Answers

Answer:

2 (x^3+3)-x(x+7)

Step-by-step explanation:

It can be factorised in a number of ways eg:

x^2(2x-1)-1 (7x-6)

Please Help!!!!!

What is the surface area of the square pyramid represented by the net?

Enter your answer in the box.

ft?​

Answers

Answer:

39 ft^2

Step-by-step explanation:

To find surface area you add up the all the areas of the shapes.

Triangle:

5x3=15

15/2= 7.5

Since there are 4 triangles its 7.5x4 which is 30.

Square:

3x3=9

7.5+7.5+7.5+7.5+9 or 30+9= 39

39 ft squared.

A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, if necessary.

Answers

Answer:

300pi square feet

Step-by-step explanation:

the dog can move inside of the 3/4 of a circle

the area of a circle is the radius squared times pi

20*20*pi=400pi

Since the house takes up 1/4 of the circle the dog is left with 3/4

400pi*3/4=300pi

2/4 + 3/9 in Modeling Fractions?

Answers

Answer: 13/12

Step-by-step explanation:

Reduce the fraction 3/9 to the lowest terms by extracting and canceling out 3.

The least common multiple of 4 and 3 is 12. Convert 3/4 and 1/3 to fractions with denominator 12.

Since 9/12 and 4/12 have the same denominator, add them by adding their numerators.

Add 9 and 4 to get 13.

Which is the area of the rectangle?
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!

Answers

Option c: 13,248 square units

How many 1/2 liter bottles of lemonade can you fill from a 2 1/2 liter container explain your answer

Answers

Answer:

5

Step-by-step explanation:

Container volume = 2 1/2 liters

Bottle volume = 1/2 liters

No. of bottles = Container vol. / Bottle vol.

= 2 1/2 / 1/2

= 5/2 / 1/2

= 5

2.5 divided by 1/2=5

5 lemonade bottles

Help solve this math problem thing pleasereeee

Answers

Step-by-step explanation:

We have the equation y = 2x - 5

To complete the table of values substitute each of the x values into the equation

When x = 0

y = 2(0) - 5 which means y =(2 × 0) - 5 = -5

The coordinates you plot are (0,-5)

When x = 1

y = 2(1) - 5 which means y = (2 × 1) - 5 = -3

The coordinates you plot are (1,-3)

When x = 2

y = 2(2) - 5 which means y = (2 × 2) - 5 = -1

The coordinates you plot are (2,-1)

When x = 3

y = 2(3) - 5 which means y = (2 × 3) - 5 = 1

The coordinates you plot are (3,1)

When x = 4

y = 2(4) - 5 which means y = (2 × 4) - 5 = 3

The coordinates you plot are (4,3)

When x = 5

y = 2(5) - 5 which means y = (2 × 5) - 5 = 5

The coordinates you plot are (5,5)

Pleaseeee help need help right away !!

Answers

A is the answer because:

Solve and write your answer as a fraction

Answers

Answer:

5÷98=98/5 or.. 19 3/5

2÷72=1/36

9÷58=9/58

7÷82=7/82

Step-by-step explanation:

hope this helped!!<3

if 3 times an integer is 12 more than the next consecutive odd
integer, what is that integer?

Answers

Answer:

3x5

Step-by-step explanation:

15 is an integer and odd

if 8^{y}=18^{y+2} what is the value of y?

Answers

Answer:

-8

Step-by-step explanation:

both 8^-8 and 16^-8+2 equal 5.9605

[tex][Hello,BrainlyUser][/tex]

Answer:

y = -8

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases.

[tex]2^3^y=2^4^(^y^+^2^)[/tex]

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

[tex]3y=4(y+2)[/tex]

Simplify

[tex]4(y+2).[/tex]

Apply the distributive property.

[tex]3y=4y+4*2[/tex]

Multiply 4 by 2

[tex]3y=4y+8[/tex]

Subtract 4y from both sides of the equation.

[tex]3y-4y=8[/tex]

Subtract 4y from 3y.

[tex]-y=8[/tex]

Multiply each term in −y=8 by −1

[tex]y=-8[/tex]

Hence, Answer is y = -8

[CloudBreeze]

Slope of (7, -2) and (2, -6)

Answers

Answer:

[tex]\boxed{\sf{m=\frac{4}{5}}}[/tex]

Step-by-step explanation:

In order to solve this problem, we will use the slope.

Slope:

[tex]\sf\dfrac{Y_2-Y_1}{x_2-x_1}=\dfrac{rise}{run}[/tex]

y2=(-6)

y1=(-2)

x2=2

x1=7

Solve the problem by rewriting it down.

[tex]\sf{\dfrac{(-6)-(-2)}{2-7} }=\dfrac{(-6)+2}{2-7}=\boxed{\dfrac{4}{5} }[/tex]

m=4/5

Therefore, the slope is 4/5.

I hope this helps! Feel free to correct me if I am wrong.

What is 6.729 x 8.3 (show ur work) thanks

Answers

Answer: 55.8507

Good luck

What is the lenght of axis.........

Answers

Answer:

The major axis of the ellipse has length = the larger of 2a or 2b and the minor axis has length = the smaller. By the way: if a=b , then the "ellipse" is a circle.

What is the quotient ? StartFraction 7 Superscript negative 6 Over 7 squared EndFraction StartFraction 1 Over 7 Superscript 8 EndFraction StartFraction 1 Over 7 cubed EndFraction 73 78.

Answers

The quotient of the start fraction 7 superscript 7 negative 6 over 7 squared end fractions is,

[tex]\dfrac{1}{7^8}[/tex]

What is the quotient?

Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The number given in the problem is,

[tex]\dfrac{7^{-6}}{7^2}[/tex]

Let the quotient of these number is n. Therefore,

[tex]n=\dfrac{7^{-6}}{7^2}\\[/tex]

Now if the power of numerator is negative, then it can be written in denominator with positive power of the same number. Therefore, the above equation written as,

[tex]n=\dfrac{1}{7^2\times7^{6}}\\n=\dfrac{1}{7^{2+6}}\\n=\dfrac{1}{7^8}[/tex]

Hence, the quotient of the start fraction 7 superscript 7 negative 6 over 7 squared end fractions is,

[tex]\dfrac{1}{7^8}[/tex]

Learn more about the quotient here;

https://brainly.com/question/673545

Answer:

It would be A. [tex]\frac{1}{7^{8} }[/tex].

Step-by-step explanation:

Hope this helps!

Find the lowest value of the set of data this box-and-whisker plot represents.



15
16
13
12

Answers

Answer:

15

Step-by-step explanation:

Answer:

you can give the other person brainiest

Step-by-step explanation:

Which of the following properties of equality allows 7(x - 1) to equal 7x - 7?
distributive
division
reflexive
symmetric

Answers

It is the distributive property of inequality

Rewrite the following equation in slope-intercept form.
5x + 14y = 6

Answers

Answer:

y=-5/14x+3/7

Step-by-step explanation:

Cause i did the math and y=-5/14x+3/7 is the answer

y= −5/14x + 3/7

^^ Good luck.

Hey CAN SOME ONE PLEASEEE HELPP ME

Answers

Answer:

[tex]y=11*3^x[/tex]

Here is the graph showing this function.

Answer:

[tex]\sf y = 11(3)^x[/tex]

given points: ( 0, 11) , (2,99)

solve for 1st

[tex]\sf y = ab^x[/tex]

[tex]\sf 11 = ab^0[/tex]

since we know [tex]\sf b^0 = 1[/tex]

[tex]\sf 11 =a[/tex]

solve for 2nd

[tex]\sf y = ab^x[/tex]

[tex]\sf 99 = ab^2[/tex]

[tex]\sf \dfrac{99}{b^2} = a[/tex]

solve simultaneously:

[tex]\sf 11 = \sf \dfrac{99}{b^2}[/tex]

[tex]\sf 11 b^2= \sf 99}[/tex]

[tex]\sf b^2= 9[/tex]

[tex]\sf b = 3[/tex]

Therefore equation:  [tex]\sf y = 11(3)^x[/tex]

PLEASE HELP Solve for x. Round to the nearest tenth, if necessary.

Answers

ANSWER:

2.1

EXPLANATION:

angle = 38

opposite side = 1.3

hypotenuse = X

Based on this we must use sine (opposite / hypotenuse)

sin (38⁰) = 1.3 / x

x = 1.3 / sin (38⁰) [use calculator]

x = 2.1

what is the area of this tile?

Answers

The area of the tile is 12 square inches.

How to get the area of a rectangle?

For a rectangle of length L and width W, the area is given by:

A = L*W

In this case, we can see that the width is 2 inches and the length is 6 inches, then the area of this rectangle will be:

A = 6in*2in = 12 in^2

So we can conclude that the area of the tile is 12 square inches.

If you want to learn more about rectangles, you can read:

https://brainly.com/question/17297081

??? Please help vcyvhxrgjvuvrx

Answers

Answer:

61, 61, 62, 64, 64, 66, 69, 69, 70, 72, 73, 74, 78, 78696473  

<---------------------------------------------------------------------------------------------------------->

   10          20         30        40        50        60         70         80        90        100

                                                                       

                                                                         ×--×-×-----×-----×

Element X is a radioactive isotope such that every 22 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 1200 grams, how long would it be until the mass of the sample reached 800 grams, to the nearest tenth of a year?

Answers

Step-by-step explanation:

s1 = 1200 g

s2 = 1200×2^(-1/22)

s3 = 1200×2^(-2/22)

...

s23 (22 years later) = 1200×2^-22/22 ≈ 1200×2^-1 = 1200/2

sn = 1200×2^(-(n-1)/22)

what is the n, so that the result is 800 g ?

800 = 1200×2^(-(n-1)/22)

800/1200 = 2^(-(n-1)/22)

2/3 = 2^(-(n-1)/22)

log2(2/3) = -(n-1)/22

22×log2(2/3) = -(n - 1) = -n + 1

n = -22×log2(2/3) + 1 = 13.86917502...

since we stared counting with n=1 for the starting quantity, the number of years is truly 1 less than n (s2 is after 1 year, s3 after 2 years ...).

so, we know for n = 13.86917502..., that in fact

12.86917502... ≈ 12.9 years have passed until the mass of the sample reached 800g.

Henry constructed circle A with a radius of 6 units. He then created a sector
as shown in the figure below. Which of the following expressions would help
him find the area of the shaded sector?


A.
270 (367)
360
90

B.
350
(367)

C.
270 (67)
350

D.
90
- (127)

Answers

B. 90/360, because this is 1/4 from circle. It's even shown in the picture.
Example: If you take a protractor at 180°, then if you mirror it, then 360° will comeout, i.e. a circle.

Write 9.45 x 10 in standard form.
PLEASE HELP!! NO LINKS WILL REPORT! Thanks

Answers

Answer:

0.945×10^2 is the answer to the question given

Answer:

the answer is b it's the most accurate of them all

Can someone help me with this coordinate plane thing ​

Answers

city hall would be at (0,0)
hospital would be at (8,5)
police station would be at (8,0)
middle school would be at (-8,-7)
baseball fields would be at (-8,7)
coffee shops would be at (-6,1)
library would be at (5,3)
grocery store would be at (8,-5)
not fully sure about the middle school or the grocery store ones because of how they’re worded but that’s what they should be :)

HELP ME PLEASE 50 POINTS !! I HAVE 4 MIN ITS THE TWO QUESTIONS WITH NO TICK!!

Answers

Answer:8 cartons of milk = 4544 ML

11 cartons  = 6248 ML

Step-by-step explanation:

What are the vertex and x-intercepts of the graph of y = (x + 4)(x + 2)? Select one answer for the vertex and one for the x-intercepts.

Answers

Answer: Vertex (-3, 1) and x-intercept (-4, 0), (-2, 0)

Answer:

D & F

Step-by-step explanation:

(Explanation in picture(graph))

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