Point B is on line segment \overline{AC}
AC
. Given AB=4x-6,AB=4x−6, AC=2x+10,AC=2x+10, and BC=4,BC=4, determine the numerical length of \overline{AC}.
AC

Answers

Answer 1

Answer:

AC= 22

Step-by-step explanation:

see photo

Point B Is On Line Segment \overline{AC} AC . Given AB=4x-6,AB=4x6, AC=2x+10,AC=2x+10, And BC=4,BC=4,
Answer 2

The numerical length of AC is 22 units.

What is a line segment?

In geometry, a line segment is a part of a line that is bounded by two distinct end points,and contains every point on the line that is between its endpoints.

Now it is given that,

Point B is on line segment AC

AB = 4x-6

AC = 2x+10

BC = 4

now since Point B is on line segment AC, therefore

AC = AB + AC

⇒ 2x + 10 = 4x - 6 + 4

⇒ 2x + 10 = 4x - 2

⇒ 2x = 12

⇒ x = 6

Put the value of x in AC, we get

AC = 2(6) + 10

or, AC = 12 + 10

or, AC = 22 units.

Hence, the numerical length of AC is 22 units.

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Step-by-step explanation:

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Step-by-step explanation:

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Clint and Jim rode their bicycles to Mill Park at an average of 8 mi/hr. It took then 1 hr longer to return home riding at an average of 7 mi/hr on a route that was 4 mi longer than their route. How long were they riding their bicycles? How man miles did they ride each way?

Answers

Answer:

Total time for which they ride = [tex]\bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Step-by-step explanation:

Average speed = 8 mi/hr

Let the Distance to Mill Park = [tex]D[/tex] mi

Let the time taken = [tex]t[/tex] hours

Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]\Rightarrow D = 8t[/tex] ..... (1)

Now, when average speed = 7 mi/hr

Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours

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Using the Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]D+4=7\times (t+1)[/tex]

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From equation (1):

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19.31 g/cm^3... I’m assuming when you said cm’ you meant cm^3

he inverse of F(C) = 9 5 C + 32 is C(F) = F −

Answers

Answer:

C(F) = 5/9 F − 160/9

Step-by-step explanation:

[tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

The given function is:

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What is the inverse of a function?

If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).

[tex]f(c) = \frac{9}{5} c +32[/tex],

let us suppose [tex]y= \frac{9}{5} c +32[/tex]

[tex]y-32 = \frac{9}{5} c[/tex]

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[tex]f(c) = \frac{5}{9} (c-32)[/tex]

Therefore, [tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

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The daily production cost, C, for x units is modeled by the equation:
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Answers

c(x) = 200 - 7x + 0.345x^2

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The functions does not have real roots, then the costs never decrease to 0.

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Answers

Answer:

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Step-by-step explanation:

Simplify 3/5 • 3/4

I hope this help

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Answers

Answer:

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Step-by-step explanation:

In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.

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Answers

Answer:

(C) 1/2

Step-by-step explanation:

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C

Step-by-step explanation:

We are given

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Answers

Answer: 12x^3 + 19x^2 -27x -40

Step-by-step explanation:

Finding f(x) times g(x) is multiply the two polynomials

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4x ( 3x^2 + 1x -8)  

12x^3 + 4x^2 - 32x  

5(3x^2 + 1x -8)  

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12x^3 + 4x^2 - 32x + 15x^2 + 5x -40   now combine like terms

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The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.

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A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 3x² + x - 8 and g(x) = 4x + 5

The function g(f(x)) is written as,

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Simplify the function, then we have

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The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.

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What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary. (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)

Answers

Answer:

(1.2, –4.7)

Step-by-step explanation:

Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)

Also, the ratio of A to B is 5:8

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Answer:

D

Step-by-step explanation:

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Answers

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Step-by-step explanation:

0.56 as a fraction in simplest form.

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Step-by-step explanation:

0.56=56/100=28/50=14/25

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Step-by-step explanation:

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B. 12 square units

Step-by-step explanation:

Answer: 12 square units

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the answer is 40

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a its the first one

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because i did the math and i have dont this question before

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Angles 1 and 2 are supplementary

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3 bags

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In order to win a jar of candy you must guess how many pieces are in a jar within 30. If there are a total of 500 pieces of candy in the jar, what are the maximum and minimum amounts you could guess in order to win?

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Answer:

530, 470.

Step-by-step explanation:

The maximum amount is 500 + 30 = 530.

The minimum amount is 500 - 30 = 470.

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5(x + 2) over
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Answers

Answer:

10 .......................

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