which term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?

By using the concept of slope of a Straight line,we arrive to the conclusion that the equation of line through (2,-4) and having slope off 3/5 is  y = - (1/2)x - 26/5.

The slope of this Straight line is given as=3/5

Thus,the equation of the straight line becomes y=(3/5)x [tex]+[/tex]c.

Now,if substituting the Slope of the line in the equation of this line.

y=(3/5)x [tex]+[/tex]c.

In the point(2,-4):

-4=(3/5)(2) [tex]+[/tex] c

-4=(6/5) [tex]+[/tex] c

c=-4-(6/5)

  = - 26/5

Therefore, the final equation is y= - (1/2)x - 26/5

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Answer:

the answer you selected is correct

Step-by-step explanation:

this is a special right triangle. to find the other sides that will be equal to each other you can divide by square root of two so then you have to put the square root in the numerator and so you multiply by square root of 2 over square root of 2 which equals one technically so then you get 22 square root of 2 over 2 which simplifies to 11 square root over two  

Answer:

Step-by-step explanation:

If a ≤ b < c are the length of the sides of a right triangle, then

a² + b² = c².

We have:

a =30 ft, b = 40 ft and c = 50 ft.

Check the equality:

L = 30² + 40² = 900 + 1600 = 2500

R = 50² = 2500

L = R

Answer:

1 foot.

Step-by-step explanation

That is not the correct formula.  Correct is  V^2 = 2gh  where h = the height

so the equation is:

8^2 = 2*32* h

h = 64/ 64 = 1 foot.

Answer:

[tex]h=\frac{1}{8} feet[/tex]

Step-by-step explanation:

In order to be able to solve this problem you just have to clear the formula for height:

V=2gh

[tex]\frac{V}{2g}=H[/tex]

[tex]\frac{8}{64}=H[/tex]

[tex]\frac{1}{8}=H[/tex]

So the height from which the hammer is dropped is 1/8 feet.

Answer:

A: y+4=4(x+3)

Step-by-step explanation:

Point-Slope Formula:

y-y1=m(x-x1)

Substitute:

y-(-4)=4(x-(-3))

-(-)=+

P: y+4=4(x+3)

Answer:

Step-by-step explanation:

[tex]f(1)=-4\\\\f(n+1)=f(n)+3-\text{the next term is 3 bigger than the previous one}\\\\f(2)=-4+3=-1[/tex]

Answer:

The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law

Step-by-step explanation:

-4(3-5x)>-6x+9

We need to solve the above inequality

The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law

(-4*3) (-4*-5x) >-6x+9

-12 +20x >-6x+9

-12 + 20x >-6x+9

The next step will be to add +12 on both sides

-12 + 20x +12 >-6x+9+12

20x  >-6x+21

The next step will be to add +6x on both sides

20x +6x  > -6x+21 +6x

26x > 21

x > 21/26

Answer:

Pretend that x and y represents the 2 numbers that we need to find.

According to the information, we know that:

x + y = 21

6x = y

Replace y in the first equation with 6x (because they are equal to each other according to the second equation):

x + y = 21

x + 6x = 21

7x = 21

x = 21/7 = 3

Now have two ways to find y, both will give us the same result:

3 + y = 21 ⇔ y = 21 - 3 = 18

6 · 3 = y ⇔ y = 18

So the numbers that we need to find are 3 and 18.

Answer:

3 and 18.

Step-by-step explanation:

If one number is x then the other is 6x.

So, x + 6x = 21

7x = 21

x = 3.

The other number is 21 - 3 = 18.

Answer:

1) binomial

2) monomial

Step-by-step explanation:

mono-think one

bi-think two

tri-think thee

poly-1 or more

So 1 goes with binomial

and 2 goes with monomial

See if you can figure out 3 and 4

I can check them.

Answer:

Step-by-step explanation:

1176 - 168 =1008   1176 + 1008= 2134

hours:2134 = 3 weeks

hours: 1176 = 2 weeks

Answer:

180+69=249

I got 180 from the ABC, that is half the circle then + the 69

Answer:

21.16

Step-by-step explanation:

First find the tax

16.40 * 9%

16.40 *.09 = 1.476 = 1.48

Then we need to find the tip

16.40 *20%

16.40 *.20 = 3.28

The total is the bill  plus tax plus tip

16.40 + 1.48 + 3.28

21.16

Answer:

Option B: y = 9x - 10.

Step-by-step explanation:

General equation of a straight line in the 2-D plane is given by:

y = mx + c; where m is the slope and c is the y-intercept.

The given equation of the line is y = 7x - 14; where m=7 and c=-14.

To make the line steeper, the gradient has to be increased. Therefore, Options A and C are incorrect because 5 is less than 7. This makes the Options B and D the remaining options because 9 is greater than 7.

To shift the y-intercept of this line up, the y-intercept has to be increased. Since -10 is greater than -14 and -18 is lesser than -14, therefore the latter option (Option D) is the incorrect option. So the correct answer is Option B: y = 9x - 10!!!

Answer: option b

Step-by-step explanation:

It is important to know that, by definition, the rule for 180 degrees counterclockwise rotation is:

[tex](x,y)[/tex]→[tex](-x,-y)[/tex]

Therefore, given the point (1, -6) we can find the image obtained for  for a 180° counterclockwise rotation about the origin by applying the rule mentioned before.

Then, the image is:

 [tex](1,-6)[/tex]→[tex](-(1),-(-6))=(-1,6)[/tex]

Answer:

The correct answer option is b. ( -1, 6).

Step-by-step explanation:

We are given a point which is rotated 180 degrees counterclockwise about the origin (0, 0). We are to find the coordinates of the image of this point after the rotation.

The rule for rotating a point 180 degrees counterclockwise is:

(x, y) ---> (-x, -y)

So for the given point, the coordinates of the image will be:

(1, -6) ---> (-1, -(-6)) ---> (-1, 6)

Answer:

Jur's car

Step-by-step explanation:

Jur's car's mileage= 340/12=28.3333333333

Jack's car's mileage=390/16=24.375

brainliest if you are satisfied plz

Answer:

Jur 28 1/3 miles per gallon

Step-by-step explanation:

To find the miles per gallon, take the miles driven and divide by the gallons used.

Jur:  340/12 =28.333333 miles per gallon

Jack :  390/16 = 24.375 miles per gallon

Jur has better gas mileage because his number is higher

Answer:

1372

Step-by-step explanation:

y=4(7)^3

You multiply 7x7x7 which gives you 343

Now you plug that in.

y=4(343)

Multiply it and you get

y=1372

Answer:

8

Step-by-step explanation:

to find the number of sides when you are given an exterior angle you divide 360 (because that's what all exterior angles equal) by the one exterior angle you were given. in this case 360/45=8

Answer:

8 sides

Step-by-step explanation:

because you use the formula for exterior angles; [tex]\frac{360}{n}[/tex], you plug in the number of sides in the denominator and then divide 360 by n

Answer:

0.4

Step-by-step explanation:

0.2 is too small,  and everything above 1.0 is too big, so by default, must be 0.4

Answer(6,1)

Step-by-step explanation:

you need to use the midpoint formula

Answer:

The radius of the circle is 14 inches.

Step-by-step explanation:

How is the circumference of a circle related to its radius?

[tex]\displaystyle \text{Circumference} = \pi\times \text{Diameter} = \pi\;(2\times \text{Radius})[/tex].

In brief,

[tex]\text{Circumference} = 2\pi\times \text{Radius}[/tex].

For this question,

Divide both sides of the equation by [tex]2\pi[/tex]:

[tex]\displaystyle \frac{\text{Circumference}}{2\pi} = \text{Radius}[/tex].

[tex]\displaystyle \text{Radius} = \frac{\text{Circumference}}{2\pi} = \frac{28\pi}{2\pi} = 14[/tex].

In other words, the radius of this circle is 14 inches.

Answer:

imaginary root

Step-by-step explanation:

7x^2 + 3 = 8x

Subtract 8x from each side

7x^2 -8x+ 3 = 8x-8x

7x^2 -8x+3 =0

This is in the form ax^2 +bx+c

The discriminant is b^2 -4ac

a=7 b=-8 c=3

b^2-4ac  = (-8)^2 -4(7)(3) = 64 - 84 = -20

Since this is negative, we have imaginary roots

Answer: The Answer Is 4) Hope it Helps!

Step-by-step explanation:

Answer:

1. 5

2. 13

3. 25

4. 7

Step-by-step explanation:

|-5|=5

|13|=13

|25|=25

|7|=7

Answer:

[tex]\large\boxed{q=\dfrac{6n-11ct}{5}}[/tex]

Step-by-step explanation:

[tex]\dfrac{6n-5q}{11t}=c\qquad\text{multiply both sides by}\ 11t\neq0\\\\6n-5q=11ct\qquad\text{subtract}\ 6n\ \text{from both sides}\\\\-5q=11ct-6n\qquad\text{change the signs}\\\\5q=6n-11ct\qquad\text{divide both sides by 5}\\\\q=\dfrac{6n-11ct}{5}[/tex]

Answer:

3 x^2 (x^2 + 2 x + 3)

Step-by-step explanation:

Factor the following:

3 x^4 + 6 x^3 + 9 x^2

Hint: | Factor common terms out of 3 x^4 + 6 x^3 + 9 x^2.

Factor 3 x^2 out of 3 x^4 + 6 x^3 + 9 x^2:

Answer:  3 x^2 (x^2 + 2 x + 3)

Answer: 1) x⁴ + 5x² + 12x - 31

              2) 3x³  -  x²  + 2

              3) 8x³ + x² + 3

Step-by-step explanation:

1) Line up like terms and add the coefficients of each term

 -5x⁴ + 6x²          - 43

+ 6x⁴ -  1x² + 12x + 12

    x⁴ + 5x² + 12x - 31

2) Line up like terms and add the coefficients of each term

   1x³ - 2x² + 4

+ 2x³ + 1x²  - 2

  3x³  -  x²  + 2

3) Line up like terms and add the coefficients of each term

   7x³  - 1x² + 1

+ 1x³ + 2x² + 2

   8x³ + x² + 3

Answer:

(x – h)2 + (y – k)2 = r2

Step-by-step explanation:

If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle  the equation of the new circle

(x – h)2 + (y – k)2 = r2

Based on Pythagorean theorem, and the location of the center of the

circle, (h, k), the equation of the circle is represented by the option;

The general form of the equation of the circle is (x - h)² + (y - k)² = r²

Where;

(h, k) = The center of the circle

r  = The radius of the circle

A description of the equation of the circle is as follows;

With regard to a location on the edge (circumference), of the circle, (x, y),

where, the center of the circle is (h, k), by Pythagorean the sum of the

square of the length of the horizontal side, (x - h), and the square of the

vertical side (y - k), of the right triangle formed gives the square of the

radius of the circle.

Therefore, the equation of the new circle can be represented by the equation;

The above equation is the general form of the equation of a circle.

Learn more about the equation of a circle here:

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Answer:

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

We have f(x) =3x - 2 and g(x) = 2x + 4. Substitute:

(f - g)(x) = (3x - 2) - (2x + 4)

(f - g)(x) = 3x - 2 - 2x - 4             combine like terms

(f - g)(x) = (3x - 2x) + (-2 -4)

(f - g)(x) = x - 6

Answer:

P(2)=0.021942 approximately

P(2 or fewer)=0.02711 approximately

Step-by-step explanation:

[tex] P(x)=(n choose x) *p^x * q^{n-x} [/tex]

x is the number of successes desired

p is probability of getting a success per trial

n is the number of trials

q is 1-p

So n=15 and p=.4 here

And you want to know P(2) which means x is 2

Plug in this information

[tex] P(2)=(15 \text{ choose } 2) *.4^2 * .6^{15-2} [/tex]

Just plug into calculator...  P(2)=0.021942 approximately

For p(2 or fewer) you just do P(0)+P(1)+P(2)

I already found P(2)

You need to find P(1)

Once you get P(1), add that result to 0.021942.

Try to do part b and I will tell you if you got it right or not.

So P(2 or less) is P(0)+P(1)+P(2)

So to complete this we need to find P(1) and almost forgot P(0)...

We already have P(2).

P(0)=(15 choose 0) *.4^0*.6^(15-0)=0.00047

P(1)=(15 choose 1)  *.4^1 *.6^(15-1)=.004702

Now                                         P(2)=0.021942

                                                 --------------------------add these

0.027114 approximately