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9514 1404 393

Answer:

  1. x = {6, 16}

  2. (x -8)² +(y +7/3)² = 64

Step-by-step explanation:

1. The distance formula is useful for this.

  d² = (x2 -x1)² +(y2 -y1)²

  13² = (x -11)² +(-5 -7)² . . . . . . . . fill in the given point coordinates

  169 -144 = (x -11)² = 25 . . . . . . subtract 144

  x -11 = ±5 . . . . . . . . . . . . . . . . . take the square root

  x = 11 ±5 = {6, 16} . . . . . . . . . . add 11

The values of x that make the points 13 units apart are 6, 16.

__

2. The standard form equation of a circle is ...

  (x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r

In order for the circle to be tangent to the y-axis, the radius must be equal to the distance the center is from the y-axis: the x-coordinate of the center point. That is, r = 8.

  (x -8)² +(y +7/3)² = 64

Answer:

Step-by-step explanation:

Isis is 8 years younger than

her sister. The sum of

their ages is 44 years

How old is Isis and

how old is

her sister,

(44 - 8) : 2 = 18

18 + 8 = 26

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

check

23 + 18 = 44

the answer is good

Answer: 500

Step-by-step explanation: A third of 1,500 is 500, and 2/3 of 1,500 is 1,000. So, 1,500 - 1,000 = 500 liters. Therefore, in order to make the tank full, 500 liters of water are needed.

Answer:

4x - 10< 14

4x < 14 + 10

4x < 24

x < 6

from the answer c is the correct option.

B

dividing with the same numbers and different exponents is like subtracting the exponents

16-8 = 8

Answer:

c! I had the same one in my class I'm pretty sure I was right

(can you make me brainleist I need to level up)

Answer:

[tex]( - 1 \div x^{2} ) + sec ^{2} [/tex]

Answer:

6z + 9

Step-by-step explanation:

distribute 3/4 by 8z to get 6z

distribute 3/4 by 12 to get 9

Answer:

1. 2(4x + 8)

2. 8(x +2)

3. 4(2x +4)

Step-by-step explanation:

You can check by using the distributive property!

For instance:

2 (4x +8)

 2 · 4x = 8x

 2 · 8 = 16

= 8x + 16

8(x +2)

 8 · x = 8x

 8 · 2 =16

= 8x + 16

4(2x +4)

  4 · 2x = 8x

   4 · 4 =16

= 8x + 16

Hope this is helpful! Let me know if you have any more questions :D

Answer:

It is a vertical line at x = 0

Step-by-step explanation:

An equation of a line in a slope-intercept form is y=mx+b

So with the coordinates given, we must find the slope (m), and the y-intercept (b).

In order to find the slope using these coordinates,

we have to use the formula (y2-y1)/(x2-x2).

So the slope would be -3 - 4 / 0.

Because the denominator is 0, the slope would be undefined.

It is easier to see the equation/graph by graphing the coordinates on the coordinate plane. You will see that it is a straight vertical line down x=0.

Hello there! :)

We can use the formula:

[tex]\frac{y2-y1}{x2-x1} \\[/tex]

First, let's take a look at the x-coordinates. They are the same, aren't they?

If the x-coordinates are the same, then the slope is undefined.

Put the x-coordinates into the formula. It turns out that we divide by 0, and division by 0 is undefined.

Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

4[tex]\sqrt{2}[/tex] cm AND 2[tex]\sqrt{2}[/tex] cm

Step-by-step explanation:

The length of a diagonal of a square means finding the hypotenuse (long side) of a right triangle with legs of the length of the side of the square. This means you can use a^2 + b^2 = c^2 to solve for the diagonal. Plugging in your values gets you 4^2 + 4^2 = c^2, simplify to get 16 + 16 = c^2, simplify further to get 32 = c^2. Isolate c by taking the square root of both sides to get [tex]\sqrt{32}[/tex] = c, which you can simplify by listing out the factors of 32 and finding pairs. 32 = 2 * 2 * 2 * 2 *2 (5 of them), meaning its square root is 4[tex]\sqrt{2}[/tex], which is the length of the diagonal. Don't forget your units! (:

For the second part, remember that the distance between the corner to the center of a square is half the diagonal of the square. You already have the length of that diagonal, so all you have to do is divide it by 2. Do so and you get 2[tex]\sqrt{2}[/tex]. Once again, don't forget your units! (:

If you're required to give decimal estimates, then pop those final answers into a calculator and round to the specified number of decimal places. No one will ask you to calculate irrational square roots, or at least no one should.

Call me when you want, call me when you need

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Call me when you want, call me when you need

Call me out by your name, I'll be on the way like

9514 1404 393

Answer:

  x^2 -x +3

Step-by-step explanation:

The long division is shown in the attachment, along with details of how the quotient terms are found.

  [tex]\dfrac{x^3-5x^2+7x-12}{x-4}=\boxed{x^2-x+3}[/tex]

Answer:

the funtion does not satisfies the hypothese f(a)=f(b), just because when evaluate f(0) = 1 and when evaluate f(2) = 11,

Answer:

it D

Step-by-step explanation:

Answer:

15/2

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

it doubles every time    2,4,8. 16

Answer:

Step-by-step explanation:

Additive inverse is when two numbers add up to zero.

A. Mia walked 5 mi north and then walked 5 mi west.

B. A scuba diver descends 40 m from sea level and then descends another 10 m.

C. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.

D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.

Answer:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

Answer:

[tex]x + y = 24[/tex]

[tex]x - y = 4[/tex]

Now, add these two equations.

You get,

[tex]2x = 28[/tex]

[tex]x = \frac{28}{2} [/tex]

[tex]x = 14[/tex]

Given,

[tex]x + y = 24[/tex]

[tex]14 + y = 24[/tex]

[tex]y = 24 - 14[/tex]

[tex]y = 10[/tex]

You can test this to the other equation as well.

[tex]x - y = 4[/tex]

[tex]14 - 10 = 4[/tex]

Hence, the two numbers are 14 and 10.

Answer: A function is the equation used to solve a variable, usually uses X and Y.

i.e. Y = 23x -9

Answer:

0

Step-by-step explanation:

[tex]\frac{a}{(a-b)(a-c)} +\frac{b}{(b-c)(b-a)}+\frac{c}{(c-a)(c-b)}\\= \frac{a}{(a-b)(a-c)} -\frac{b}{(b-c)(a-b)}+\frac{c}{(a-c)(b-c)}\\\\= \frac{a(b-c)-b(a-c)+c(a-b)}{(a-b)(a-c)(b-c)}}\\\\= \frac{ab-ac-ab+bc+ac-bc}{(a-b)(a-c)(b-c)}}\\\\= \frac{0}{(a-b)(a-c)(b-c)}}\\\\= 0[/tex]

The circumference of circle B would be; 74.98 cm.

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

We have been given that Circle A has a circumference of 25 centimeters.

And Circle B's diameter is 3 times as long as circle A's diameter.

Thus, the Diameter of Circle B = 3 x the Diameter of Circle A

Since The circumference of the circle A = 2πr = 25

2πr = 25

r = 25/  2π

r = 3.98 cm

The Diameter of Circle A = 2 x 3.98 = 7.96 cm

Since Diameter of Circle B = 3 x the Diameter of Circle A

Diameter of Circle B = 3 x 7.96 cm

= 23.88 cm

Radius = 23.88 / 2

Hence, the circumference of circle B =  2πr

= 2 x 22/7 x 23.88 / 2

= 74.98 cm

Learn more about circumference here;

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I'm going to be there in a few minutes and then I'll be back to work tomorrow morning if you want to come over and take it easy tomorrow morning if you want to go to the store and get some of the stuff you can do for me and I'll get it done and I'll be there in a bit and then I'll get

Answer:

Step-by-step explanation:

I really need points but good luck with your question

Answer:

9

Step-by-step explanation:

The exterior angle is equal to the sum of the 2 opposite interior angles, therefore:

9x + 9 = 45 × 5x

4x = 36

x = 9

F F F F F F F F F F F F F

Step-by-step explanation:F    f

Answer:

Nia answerd 45% of the questions correctly.

Answer:

B

Step-by-step explanation: