In your own words, define the conic section you chose as a collection of points (loci) on a plane.

Answer:

Part A)

An equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

[tex]y - 2 = 6(x-7)[/tex]

Part B)

An equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

[tex]y - 9 = -4(x-1)[/tex]

Step-by-step explanation:

                                                        Part A)

Given

Slope m = 6

Point (7, 2)

To Determine

Find an equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 2 = 6(x-7)[/tex]

Therefore, an equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

[tex]y - 2 = 6(x-7)[/tex]

                                                       Part B)

Given

Slope m = -4

Point (1, 9)

To Determine

Find an equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

substituting the values m = -4 and the point (x₁, y₁) = (1, 9) in the point-slope form of line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 9 = -4(x-1)[/tex]

Therefore, an equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

[tex]y - 9 = -4(x-1)[/tex]

The answer is:

1) y - 2 = 6(x - 7)

2) y - 9 = -4(x - 1)

Work/explanation:

The point slope formula is:

[tex]\bf{y-y_1=m(x-x_1)}[/tex]

where m = slope;

(x₁, y₁) is a point on the line.

For this problem, m = 6 and the point is (7,2).

Plug in the data:

[tex]\bf{y-2=6(x-7)}[/tex]

__________________

For this problem, m = -4 and the point is (1,9).

Plug in the data:

[tex]\bf{y-9=-4(x-1)}[/tex]

Hence, these are the equations.

Answer: 116

Step-by-step explanation: simply divide 8 into 928

Answer:

116 coke

Step-by-step explanation:

992/8

=116

Debby would be able to buy 116 cokes from the coke machine.

Answer:

144 calories

Step-by-step explanation:

12%(1200)=

0.12(1200)=144

Answer:

answer is 3

Step-by-step explanation:

8-5

4(2)=8

3+2=5

8-5=3

Answer:

46

Step-by-step explanation:

Answer:

first choice

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 10^2 = 15^2

a^2 + 100 = 225

       - 100    -100

a^2 = 125

square 125

a = 11.18

Answer:

24

Step-by-step explanation:

To obtain the minimum number fi tiles needed;

We find the Lowest common multiple of 8 and 6

Multiples of :

6 = 6, 12, 18, 24, 30, 36, 42, 48,...

8 = 8, 16, 24, 32, 40, 48, 56,...

Hence, the lowest common multiple of 8 and 6 is 24

Answer:

its B

Step-by-step explanation:

Answer:

w=V/Ih

Step-by-step explanation:

The formula for the volume of a rectangular prism is given as V = lwh.

✓ we are required to solve for "w" and this can be done by making "w" subject of the formula.

w=V/Ih

Hence, formula for " w" is w=V/Ih

Answer: y=-x+2

Step-by-step explanation:

m=(-1-4)/(3+2)=-5/5=-1

y=-x+b

Plug in the values

y=-x+2

Answer:

y =  − x + 2

Step-by-step explanation:

Answer:

i believe its 260

Step-by-step explanation:

sorry if its wrong

Answer:

Step-by-step explanation:

Hope this Helps ;)

Answer: c.) 0.04a + 0.06b + 0.05c = 950

Step-by-step explanation:

To find interest per investment you need to multiply the percentage interest rate by the value of the investment.

When written in linear equations, percentages are converted to decimal form.

4% = 1/100 = 0.04

6% = 6/100 = 0.06

5% = 5/100 = 0.05

These are the interest rates that when multiplied by their investments, will give a total of $950.

0.04 * a + 0.06 * b + 0.05 * c = 950

0.04a + 0.06b + 0.05c = 950

Option c is therefore correct.

Answer:

yes, the triangle is congruent because they all have the same three sides on each.

Answer:

70%

Step-by-step explanation:

Answer:

[tex]( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8[/tex]

Answer:

1. 18.84 in

2. 56.52 cm

3. 4.71 ft

4. 25.12 m

5. 37.68 ft

6. 12.56 yd

7. 43.96 in

8. 28.26 cm

9. 7.85 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

26375

On the graph, it tells you how much fuel is left after 2 hours of the journey.

If we take 422,000 and subtract 369,250 from it we get 52,750. However, this is how much gas is used in 2 hours, so to find one hour we need to divide by 2, getting us 26,375.

Therefore, the Jet uses 26,375 gallons per hour during the 16 hour trip from Los Angeles, CA to Melbourne, Australia.

Answer:

[tex]\frac{9}{12} = \frac{15}{y} \\(12 * 15) / 9 = 20\\B) 20[/tex]

Step-by-step explanation:

Answer:

96 :)

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Make 240 into a decimal (2.4), then multiply it by 40 and you get 96!

I hope this helps and have a great day! :)

Answer:

The solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}[/tex]

Multiply 2x-9y=-36 by 7

[tex]14x-63y=-252[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}[/tex]

Adding both equations

[tex]-14x+18y=-18[/tex]

[tex]+[/tex]

[tex]\underline{14x-63y=-252}[/tex]

[tex]-45y=-270[/tex]

solve -45y = -270 for y

[tex]-45y=-270[/tex]

divide both sides by -45

[tex]\frac{-45y}{-45}=\frac{-270}{-45}[/tex]

Simplify

[tex]y=6[/tex]

For 14x-63y = -270 plug in y = 6

[tex]14x-63\cdot \:6=-252[/tex]

[tex]14x-378=-252[/tex]

Add 378 to both sides

[tex]14x-378+378=-252+378[/tex]

Simplify

[tex]14x=126[/tex]

Divide both sides by 14

[tex]\frac{14x}{14}=\frac{126}{14}[/tex]

Simplify

[tex]x=9[/tex]

Therefore, the solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

Answer:

the amount is duplicating every time from 1 to 2 from 8 to 16

Step-by-step explanation:

Answer:

it's being multiplied by 2 every time, so 1×2=2 and it just keeps going on. 2×2=4, 4×2=8 and so fourth

$.01×2=$.02

Answer:

Quadrilateral, Square, and Rhombus

Step-by-step explanation:

Hope it helped!

Answer:

I think quadrilateral and rhombus.

Step-by-step explanation:

Answer:

is -4=Y

Step-by-step explanation:

i had that problem

27 - 9x +15y

Factor out common  term 3 :

3(9-3x+5y)

hope this helps!

Answer:

3(9-3x+5y)

Step-by-step explanation:

Answer:

D. One solution

Step-by-step explanation:

Simplify:

[tex]6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2[/tex]

There is only one solution (x=2) that satisfy the equation.

Answer:

2

Step-by-step explanation:

OK 13-5=8 and that leaves 8k so k must be 2 because since their is no space they are being multiplied together and 8x2=16 :) hope this helps

plz give thanks

Answer:

-5/2 is the reciprocal of -2/5, but the opposite would just be 5/2.

Step-by-step explanation:

Answer:

yes the answer is yes i think im not good at explaing but hope that helps

Step-by-step explanation:

Answer:

I think it's A

Step-by-step explanation:

Subtract 24-10 and it leaves you with 14

Answer:

2/3

Step-by-step explanation:

If 1/3 of students bring their lunch to school then 2/3 of students dont

Answer:

300 brought lunch

600 did not bring lunch

Step-by-step explanation:

1/3 of 900 = 300