Write an equation in point-slope form of a line that has a slope of 2/3 and goes through the point (-1,4).

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Answer: 100

Step-by-step explanation:

A line equals 180 so subtract 180-80 to get your answer.

Answer:

$2.25

Step-by-step explanation:

5 lbs = $11.25

The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:

$11.25 ÷ 5 = $2.25

Hope this helps!

Answer:

2.25 ($) per pound

Step-by-step explanation:                                                                               11.25 /  5 = 2.25 per pound   Alternative workings we simply divide by 10  to find   11.25 / 10  = 1.125 then multiply by 2                                                      1.125 * 2  = 2.25 ($) per pound

Answer:

Q(-1 , 6)

Step-by-step explanation:

Midpoint M(5 , -2)

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\P(11 , -10) \ ; x_{1} = 11 \ & \ y_{1}=-10\\\\\left(\dfrac{11+x_{2}}{2},\dfrac{-10+y_{2}}{2}\right)= \left( 5 , -2 \right )\\\\\dfrac{11+x_{2}}{2}=5 \ ; \dfrac{-10+y_{2}}{2}=-2[/tex]

11 + x₂ = 10         ;  -10 + y₂ = -4

      x₂ = 10 - 11   ;      y₂ = - 4 + 10

      x₂ = -1          ;       y₂ = 6

Q(-1 , 6)

the coordinates of point Q is (-1,6)

Answer:

pic is answer

Step-by-step explanation:

Step-by-step explanation:

15 . triangle on number 15 is an isoseles because it has two sides that are equal

and also it has two angles that are equal

16. it is a scalene beacause it has no side that is equal furthermore its angles are not the same they are all different

The triangles have a common vertex angle, and a given pair of

corresponding and congruent angles, they are therefore similar triangles.

Reasons:

The given parameters are;

∠AED ≅ ∠ACB

By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =

∠BAC in common.

Therefore, ∠DAE ≅ ∠BAC, by reflexive property.

Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in

ΔACB.

(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA

Angle-Angle similarity postulate, and by Corresponding Angles of Similar

Triangles are Congruent CASTC we have;

∠AED ≅ ∠ACB

∠DAE ≅ ∠BAC

Learn more here:

https://brainly.com/question/4638844

(x + 9)/2 = 3x

Multiply both sides by 2 since the left is divided by 2.

x + 9 = 6x

     9 = 5x

      x = 9/5 or 1 4/5

Answer: One present cost 6 dollars and 31 cents.

Step-by-step explanation:

Ok so first you subtract 2.26 from 13.75 to find out the total that George has.

That would be 11.49.

Next you add them together because they combine allowances.

So thats 25.24.

Next you divide this by 4 because they are buying the same present for their four teachers, therefore all will be the same price.

This would be 6.31

You leave the decimals because your talking about money.

Hopefully this helps. Have a wonderful day. :)

Marking me brainly really helps if you found my answer helpful!

Answer:

hope you understand .............

Answer:

g(1) = 2

Step-by-step explanation:

g(x)=−x+3

g(1)=

Let x = 1

g(1) = -1+3 = 2

Answer:

y= -3/5x -3

Step-by-step explanation:

Answer:

1. 12x - 6

2. -2x + 17

Step-by-step explanation:

1.

2.

Answer:

[tex]\boxed{\sf 12x-6}[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

Step-by-step explanation:

[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]

Apply Distributive Property to multiply -2 by (3-2x):

→ [tex]\sf 8x-6+4x[/tex]

Combine like terms:

→ [tex]\sf (8x+4x)[/tex]

[tex]\boxed{\sf 12x-6}[/tex]

______________________________

[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]

Apply Distributive property:

Multiply -3 by (2x-4):

[tex]\sf 4x+5-6x+12[/tex]

Combine like terms:

→[tex]\sf (4x+(-6x))[/tex]

→ [tex]\sf (5+12)[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

_____________________________

Answer:

a is (7,6)

b is (3,-1)

c is (1,3)

d is (5,5)

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Value of m is equal to :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

➢ 15 = 2m - 9

➢ 15 + 9 = 2m

➢ 2m = 24

➢ m = 24 ÷ 2

➢ m = 12

[tex] \mathfrak{hope \: \: it \: \: helps\;\; Rainbow ~ \: \: }[/tex]

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

just put the number on top and what divides it on the bottom

Step-by-step explanation:

let's look at the full numbers under the square roots when bringing the external factors back in :

sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)

and let's present these numbers as the product of their basic prime factors

sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)

now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.

let's combine these

sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)

and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :

9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =

= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)

and that is the first answer option.

Answer:

$175.07 will be taken off

Step-by-step explanation:

287x61/100

17507/100

175.07

Answer:

look at the picture i have sent

Answer:

10+10=1010

Step-by-step explanation:

brainliest?

Answer:

20 lol

And hi!

Answer:

[tex]\boxed{\bf {{No\:Solution}}}[/tex]

Step-by-step explanation:

[tex]\bf 4(9x+6)=36x-7[/tex]

Expand: Apply Distributive proprty:

[tex]\bf 36x+24=36x-7[/tex]

[tex]\boxed {\bf \sf {Subtract\:}24\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x+24-24=36x-7-24[/tex]

[tex]\bf 36x=36x-31[/tex]

[tex]\boxed {\sf {Subtract\:}36x\sf {\:from\:both\:sides}}[/tex]

[tex]\bf 36x-36x=36x-31-36x[/tex]

[tex]\bf 0=-31[/tex]

Because the sides are not equal there is no Solution

Answer: 90millionhajk

Step-by-step explanation:

Answer:

y = 5x -1

............

Answer:

3.5 hours

Step-by-step explanation:

You are trying to isolate X (get X by it self) to do that you need to divided both sides of the equation by 60 resulting in X=3.5

Divide both sides by 60 to isolate x

x=3.5 hours

Hope this helps you! :)

[tex]GraceRosalia[/tex]

Answer:

Answer is C

The inequality is x

<−6 or x>2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

       | 2x + 4 |  > 8        

         Case I                                 Case II

       2x + 4 > 8                            -(2x +4) > 8

            -4      -4                           -2x - 4 >  8

        2x      > 4                                   +4    +4    

           x   > 4/2                           -2x  > 12

            x > 2                               -x > 12/2

                                                   -x > 6    

                                                    x <  - 6  Multiply by -1 will change the inequality sign.  

       x >  2  and x< - 6

       x > 2    open circle at 2 and shade to the right.

       x < -6    open circle at -6 and shade to the left

Answer:

He rode his bicycle for 40minutes

Hope it helps:)

4.06 yard is the the radius of a circle to the nearest hundredth if its circumference is 25.5 yard