explain your reasoning to 10x−2x

Given:

The point (7, 4) lies on a circle centered at the origin.

To find:

The equation of the circle and the radius of the circle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The point (7, 4) lies on a circle centered at the origin. So, the distance between the points (7,4) and (0,0) is equal to the radius of the circle.

[tex]r=\sqrt{(0-7)^2+(0-4)^2}[/tex]

[tex]r=\sqrt{(-7)^2+(-4)^2}[/tex]

[tex]r=\sqrt{49+16}[/tex]

[tex]r=\sqrt{65}[/tex]

The standard form of the circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]            ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=0, k=0 and [tex]r=\sqrt{65}[/tex] in (ii), we get

[tex](x-0)^2+(y-0)^2=(\sqrt{65})^2[/tex]

[tex]x^2+y^2=65[/tex]

Therefore, the equation of the circle is [tex]x^2+y^2=65[/tex] and its radius is [tex]r=\sqrt{65}[/tex].

Answer: 2x^2-4x-16

Step-by-step explanation:

Answer:  x^4 - 16

Step-by-step explanation:

I am going to do this problem with more of an algebraic approach weather or not its the way your teacher wants you to do it like this.

The way to do things algebraically is to just set variables for what you want to find and set up equations to represent each sentence.

As seen there are hamburgers and chickens in this problem. So let's set the numbers of hamburgers to x, and the numbers of chickens to y.

Now write out each sentence using variables.

1.) Tia sold 78 hamburgers and chicken tenders.

x+y=78

2.) If she sold 24 more hamburgers than chicken tenders.

x=y+24

Now that we have the 2 equations, its time to solve.

Since we have x=y+24, we can replace the x in the first equation with the second equation

y+24+y=78

2y+24=78

Now we can subtract 24 from both sides.

2y=54

Simplify

y=27

Solve for x

x=27+24=51

Done!

Answer:

[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (-14, -3)

This means that [tex]x_0 = -14, y_0 = -3[/tex]

So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-14))^2 + (y - (-3))^2 = r^2[/tex]

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

Passes through the point (-5,3),

This means that when [tex]x = -5, y = 3[/tex]. We use this to find the radius squared. So

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

[tex](-5 + 14)^2 + (3 + 3)^2 = r^2[/tex]

[tex]r^2 = 117[/tex]

So, the equation of the circle is:

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]

Answer:

See answers below.

Step-by-step explanation:

Large Rectangle:  length x width = (x + 3)(x - 4) =

                                        x² - 4x + 3x - 12

                                           x² - x - 12

Smaller Rectangle:  length x width = (x)(3) = 3x

Shaded Region: shaded area =  lg. rectangle minus small rectangle

                             A = (x² - x - 12) - 3x  

                             A = x² - 4x - 12

Solve for x, if shaded reion's area is 48 square units:      

                          48 = x² - 4x - 12

                                  x² - 4x - 12 -48 = 0

                                  x² - 4x - 60 = 0

                                  (x - 10)(x + 6) = 0

                                   x - 10 = 0   or   x + 6 = 0

                                   x = 10    or    x = -6

                                               But x represents a length, so x cannot be -6.

                                  x = 10

Answer:

I think 64 dollars

Step-by-step explanation:

*8x3=24  

88-24=64

Answer:

3h² - 11h - 42 = (3x+7)(x−6)

Step-by-step explanation:

We need to find factors of 3h² - 11h - 42. It is a quadratic equation.

We search two numbers such that their product is 42 and sum is 11. So,

3h² - 11h - 42 = 3h² -18x +7x -42

= (3x+7)(x−6)

So, the required factors are (3x+7)(x−6).

The answer is just -infinite

Answer:

$ 24.15

Step-by-step explanation:

100%= $21

(100+15)% =115% ×$21

(115/100)*21= 24.15$

Answer:

(3, infinity)

Step-by-step explanation:

range is talking about the y axis and every number the graph touches on the y axis. the first number is the minimum number and the second number is the max number. this graph's lowest point is 3, so the answer is (3, something). the max is never/infinity and that's how you get (3, infinity).

Answer:

c I believe

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature,

Answer:

C

Step-by-step explanation:

i took the same test

Answer:

beeebooobeeeeeboooooobeeeeebooooooo

Step-by-step explanation:

option a

Answer

2. 10  10 x 4=40  10+40=50

3. 49  3 x 49=147

Step-by-step explanation: number 1 i'm not sure

Answer:

is this weird but in all my years of school I've never learn something like this

Answer:

17

Step-by-step explanation:

Range is the largest number minus the smallest number. In this case, you would do 20 - 3 and get the answer of 17.

Answer:

resta el valor mínimo del valor máximo para obtener el rango 20-3=17

Answer:

0.375 lb

Step-by-step explanation:

For this one all you need to do is convert 6 oz to pounds and to do this

For example to convert an ounce measurement to a pound measurement, use a simple formula. Since one ounce is equal to 1/16 of a pound, the formula for the conversion is:

pounds = ounces ÷ 16

1. Take measurement

2. Divided ounces by 5

3. Round the result to desired decimal places.

And don't just put this answer because I am not very sure.

1.875 pounds of dog food can be eaten by 5 dogs per day.

What information do we have?

Number of dogs = 5

Each dog eats per day = 6 oz

Total dog food eaten per day = Number of dogs × Each dog eats per day

Total dog food eaten per day = 5 × 6

Total dog food eaten per day = 30 oz

1 pound = 16 oz

So,

Total dog food eaten per day = 30oz / 16oz

Total dog food eaten per day =  1.875 pound

Find out more information about 'Pound'.

https://brainly.com/question/17408937?referrer=searchResults

Answer:

-4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Answer:

45.1

Step-by-step explanation:

Answer:

256 ft

Step-by-step explanation:

51+51= 102

77+77= 154

154+102=256

Answer:

P=2(l+w)=2·(51+77)=256ft

Step-by-step explanation:

The answer will be 256ft

Answer:

Flag = 46

Shamrock = 46

Hat = 27

Accordion = 198

Step-by-step explanation:

To keep things simple, I'll denote the flag with f, the shamrock with s, the hat with h and the accordion with a.

The second equation tells us that f/s is 1. When you divide something by something and get 1, that means they're equal (eg, 2÷2=1, 3÷3=1 etc). That means f=s.

The second equation tells us f+s+s=138, but since f=s, this basically means 3f=138. Dividing both sides by three, we find out f=46 and by extension, s=46.

The third equation tells us s+h+h=100. We know s so we can write this as 46+2h=100. Take 46 form both sides to get 2h=54. Divide both sides by 2, we find out h=27.

The fourth equation tells us a=4f+14. Sub in our value for f and this is a=(4x46)+14. Solve this to get a=184+14, a=198.

Step-by-step explanation:

8: 4, 2

20: 10, 5

have a good day

Answer:

2/5

Step-by-step explanation:

Hey There!

To simplify this expression we need to find the greatest common factor

Both values can be divided by 4

so the greatest common factor is 4

8/4=2

20/4=5

so the simplified version of the given expression is 2/5

Answer:

306.25-156.25/70-50 =150/20=7.5 ft/mph

Step-by-step explanation:

For every 1 mph over 50 mph a car is traveling, its braking distance increases by 7.5 ft

The required braking distance between the one that can travel at 50 mph and one traveling at 70 mph is 7.5 ft/mph.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Distance traveled when applying brake when speed is 70 mph is 306.25,
Distance traveled when applying brake when speed is 50 mph is 156.25 ft

The rate of change of braking is given as,

= 306.25-156.25/70-50
= 150/20
=7.5 ft/mph

Thus, the required braking distance between the one that can travel at 50 mph and one traveling at 70 mph is 7.5 ft/mph.

Learn more about the rate of change here: https://brainly.com/question/13103052

#SPJ2

Answer:

Step-by-step explanation:

x+y=10

x=10-y

x=10-5

x=5

3y= -3x+30

3(10-y)= -3(10-y)+30

30-3y= -30+3y+30

30+30-30=6y

30=6y

y=5

Answer:

4/9

Step-by-step explanation:

'ng' = not green

P(ng,ng) = 2/3 x 2/3 = 4/9