1. Given: AB = 64; M lies on the line AB

AM = 4x + 4 BM= 6x-10

Prove: M is a midpoint.

Statements: Reason:
1) M lies on AB 1) Given
AB= 64
2) AM+MB=AB 2) ?

3) 4x+4+6x-10=64 3) ?

4) 10x- 6 = 64 4) ?

5) 10x=70 5) ?

6) x = 7 M 6) ?

7) AM= 4(7) + 4 7) substitution
MB = 6(7) - 10

8) AM=32 and 8) simplify
Mb = 32.

9) M is a midpoint. 9) ?


Reasoning bank for #1

Addition Property of equality
Combine like terms
Definition of midpoint.
Division property of equality
Segment addition postulate

Answer: 1,4,5

Step-by-step explanation:

The correct options are, The simplified expression for g(f(x)) is x.

The functions are not inverses of each other.

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

Given, f(x) = 1/(8x³).

f(x) = 1/(2x)³.

y = 1/(2x)³.

(2x)³ = 1/y.

[tex]2x = \frac{1}{y^\frac{1}{3}}[/tex].

[tex]x = \frac{1}{2y^\frac{1}{3}}[/tex].

[tex]f^{-1}(x) = \frac{1}{2x^\frac{1}{3}}[/tex] and g(x) = [tex]2x^\frac{1}{3}[/tex] so, they are not inverses of each other.

Now, f(g(x)) = [tex]\frac{1}{8((2x)^\frac{1}{3})^3}[/tex].

f(g(x)) = 1/16x.

g(f(x)) = [tex]2(1/8x^3)^\frac{1}{3}[/tex].

g(f(x)) = x

learn more about the inverse of functions here :

https://brainly.com/question/2541698

#SPJ2

3.8q + 21.2 + 8.3r

The perimeter is all sides added together, therefore our equation looks like this:

[tex](1.7q + 9.3) + (2.1q + 6.7) + (8.3r + 5.2)[/tex]

However, we can get rid of the parentheses and add like terms together.

[tex]1.7q + 9.3+ 2.1q + 6.7+ 8.3r + 5.2[/tex]

[tex]1.7q + 2.1q + 9.3 + 6.7+ 5.2 + 8.3r [/tex]

[tex] 3.8q + 21.2 + 8.3r [/tex]

Answer:

The wire is about 18.44 feet long.

Step-by-step explanation:

From the question:

The wire is √340 feet long.

This implies that the length of the wire is √340 feet.

Converting the value of this length (√340) to decimal gives;

√340 = 18.439

Now, let's convert 18.439 to the nearest hundredth of a foot.

18.439 ≅ 18.44

Therefore, the length of the wire to the nearest hundredth of a foot is 18.44 feet.

In other words, the wire is about 18.44 feet long.

Answer:

1280

Step-by-step explanation:

32x4=128

320x4=1280

Answer:

applying for a credit card

paying taxes

opening a checking account

Step-by-step explanation:

Hope this will help yal'l

Answer:

[tex]\frac{x}{2}+5[/tex]

Step-by-step explanation:

[tex]\frac{x+10}{2}[/tex]

To solve, you will have to divide.

[tex]\frac{x}{2}+5[/tex]

Hope this helps!

Answer:

María solamente debe venderle al cliente 10 unidades

Step-by-step explanation:

Explicación paso a paso:

Una docena representa un total de doce (12) unidades. Los huevos se empacan por docena, por lo tanto si nos piden solo 5/6 de la docena, multiplicamos dicha fracción por 12 unidades:

5/6 · 12 = (12 · 5)/6 = 60/6 = 10 unidades

Por lo tanto, María solamente debe venderle al cliente 10 unidades, es decir 5/6 representa 10 unidades de los huevos

Usando conceptos de proporción, se encuentra que Martha debe vender 10 huevos al cliente.

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

1 docena - 12 huevos

5/6 de docena - x huevos

Aplicando multiplicación cruzada:

[tex]x = 12 \times \frac{5}{6} = \frac{12 \times 5}{6} = 2 \times 5 = 10[/tex]

Martha debe vender 10 huevos.

A similar problem is given at https://brainly.com/question/23926715

Answer:

False

Step-by-step explanation:

Answer

false

Step by step

(92-1512)=17

A. y = 1/3 (-3) - 3 = - 6

B. y = 2(-3)^2 - 3(-3) - 2

= 2(9) - 3(-3) - 2

= 18 + 9 - 2

= 25

C. 2(-3) - 5y =4

- 6 - 4 = 5y

y = - 2

Answer:

A = -6

B = 25

C = 2

Step-by-step explanation:

-3*1/3 = -1, and -1-5=-6

2(-3)^2=2(9)=18   -3*-3=9    18+9=27    27-2=25

for the last rewrite the equation

2x-4=5y

-6-4=-10

-10=5y

y=-2

Answer:

72 is your answer mate...

Answer:

46.9333 feet per second

Step-by-step explanation:

Answer:

-26 or 14

Step-by-step explanation:

Given that

Coordinate of point A is -6.

Length of AB = 20

To find:

Coordinates for the point B = ?

Solution:

We are given that:

AB = 20

In other words, we can use modulus function to define the distance between A and B:

|Coordinates of B - Coordinates of A| = 20

Let the coordinates of B = [tex]x[/tex]

Kindly refer to the attached image for the given situation.

Point B might be either on the left or on the right side of A.

That means:

[tex]|x-(-6)| = 20\\\Rightarrow |x+6|=20[/tex]

Now, let us have a look at the modulus function:

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

So,

[tex]|x+6|=\left \{ {-{(x+6)}\ if\ (x+6)<0 \atop {(x+6)}\ if\ (x+6)>0} \right.[/tex]

[tex](x+6 ) =20\\\Rightarrow x =14[/tex]

[tex]-(x+6 ) =20\\\Rightarrow x =-26[/tex]

Therefore, the answer is:

-26 or 14

Answer:

1.c

2.e

3.d

3.a

5.b

best of luck!

Answer: Answer is in the steps read carefully

Step-by-step explanation:

1.   y = -3x  It has a slope of -3 and y intercept of 0 so it goes with  C

2.  y =2x+ 5   It has a slope of 2 and y intercept of 5 so it goes with  E

3.  y = 1/2x - 3   It has a slope of 1/2 and y intercept of -3 so it goes with  D

4. y= -1x + 2    It has a slope of -1 and y intercept of 2 so it also goes with A

5. y = 1x   It has a slope of 1 and y intercept of 0 so it goes with  B

Answer:

38 cards

Step-by-step explanation:

Assuming that you replaced all your baseball cards that were ruined, that would mean that you started with 38, because we know that 19 is half of all the baseball cards that were lost so 19*2=38

Answer:

Step-by-step explanation:

-7y = -6x - 7

y = 6/7x + 1

Answer:

D) -6

Step-by-step explanation:

Answer:

30-42x

Step-by-step explanation:

Use the distributive property to multiply 6 by 5-7x.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{30 - 42x}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{6(5 - 7x)}[/tex]

Distribute 6 through the parentheses

[tex] \dashrightarrow{\sf{6 \times 5 - 6 \times 7x}}[/tex]

[tex] \dashrightarrow{ \sf{30 - 42x}}[/tex]

Hope I helped!

Best regards! :D

Answer:

[tex]d=\sqrt{218}[/tex]

Step-by-step explanation:

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

Simply plug our coordinates into the distance formula to find the distance between the points:

[tex]d=\sqrt{(3 - (-4))^2+(-7 - 6)^2}[/tex]

[tex]d=\sqrt{(3 +4)^2+(-13)^2}[/tex]

[tex]d=\sqrt{(7)^2+169}[/tex]

[tex]d=\sqrt{49+169}[/tex]

[tex]d=\sqrt{218}[/tex]

Answer:

Newton's first law

Step-by-step explanation:

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

Answer:

Step-by-step explanation:

x-int

-x + 4 = 0

x = -4

(-4, 0)

y-int

y = 0 + 4

y= 4

(0, 4)

Answer:

undefined

Step-by-step explanation:

The line is a vertical line (since both points have the same x-coordinate of x=2) and hence it has an undefined slope.

Steps to solve:

k^8 * k

~Since we are multiply k to itself, we just add one to the exponent of 8.

k^8+1

k^9

Best of Luck!

Answer:

0.65 x 20 = 13  0.15  x 20 = 3 so 13 + 3 =16  20 - 16 = 4

Step-by-step explanation:

Answer:

A. 12 and 43

Step-by-step explanation:

Pythagorean theorem is given as = [tex] a^2 + b^2 = c^2 [/tex]

Where, a and b are the two legs of the right triangle, while c is the hypotenuse/longest leg of the triangle.

In the figure given, the side of the largest square = the hypotenuse of the triangle = c

While the side of the other squares = a and b respectively, of the triangle.

Area of square = s², where s is the side length of the square.

Since we are given that the area of the largest square = 55, this is also equivalent to c² in the Pythagorean theorem.

The side length of the largest square = √55 ≈ 7.4 = c

Therefore, to determine the area of the other squares, check the options given if they add up to give 55.

Option A: 12 + 43 = 55

Option B: 14 + 40 = 54

Option C : 16 + 37 = 53.

The correct possible areas of the smaller squares would be A. 12 and 43.

That is ver very sad

yes,

abcdefghijklmnopqrstuvwxyz

Answer:

AC = 25

Step-by-step explanation:

Since B is on the segment AC, then

AC = AB + BC, substitute values

5x = 2x +10 + x , that is

5x = 3x + 10 ( subtract 3x from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Thus

AC = 5x = 5(5) = 25

Answer:

eight thousand four hundred nine and eight hundredths

Step-by-step explanation:

Answer:

The answer is, Eight-thousand four-hundred nine and eight thousandth

Step-by-step explanation: All you have to do is say it enough. Please have a nice day.