Mathematics High School

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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Related Questions

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?

Answers

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:

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There were 73 runners from 2 schools on a combined track team. If 31 were
from Edison Elementary, how many were from Lincoln Elementary? Write and
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Answers

Answer:

s=(73-31)

31+s=73

s= 42

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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Answer:

x = 33

Step-by-step explanation:

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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

Based on this, the x and y coordinates at point C is

[tex]= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}][/tex]

= (1.2, –4.7)

Hence, the x and y coordinates of point C is (1.2, –4.7)

Therefore the last option is correct

Answer:

D

Step-by-step explanation:

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Answer:

Step-by-step explanation:

1. Equation: x + 50 = 180 degrees

Solution: x = 180 - 50

               x  = 130 degrees

2. Equation: x + 45 = 90 degrees

Solution: x = 90 - 45

               x = 45 degrees

Answer:

the answer is choose not chose

Step-by-step explanation:

0.56 as a fraction in simplest form.

Answers

Answer:

14/25

Step-by-step explanation:

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

What is -S to the power of three minus 5st, S= -3 and T= -2.

Answers

=-3 to the power 3 - 5(-3(-2)
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=-27-30
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what is the pattern in the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21,

Answers

The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.

Simplify. 1/3(1−1/4)^2

Answers

Answer:

3

-

16

Step-by-step explanation:

Given the Venn diagram below, which statement must be true?

Answers

the Venn diagram below, which statement must be true? If a number is an irrational number, it must also be a rational number. All integers are also whole numbers. All integers are also rational numbers. All natural numbers are irrational numbers.-by-step explanation:

The vertices of a triangle are listed below. E(-1, 2), F(-5, -1), G(-1, -4) What is the area of the triangle? A. 24 square units B. 12 square units C. 16 square units D. 6 square units

Answers

Answer:

B. 12 square units

Step-by-step explanation:

Answer: 12 square units

Step-by-step explanation: 1/2(6)(4)

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:

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

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]

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

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

In order to get the inverse function, interchange c and f(c),

[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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Simplify 3/5 • 3/4 .

Answers

Answer:

9/20 as a faction as a decimal 0.45

Step-by-step explanation:

Simplify 3/5 • 3/4

I hope this help

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18 ÷ 2 - (98÷2) + 48
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Answers

Answer:

8

Step-by-step explanation:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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Answers

B) f(g(1))= -8 is your answer

Find g(f(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.

Answers

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

Step-by-step explanation:

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

(4x+5)(3x^2 + 1x -8)    Apply the distributive property twice to solve

4x ( 3x^2 + 1x -8)  

12x^3 + 4x^2 - 32x  

5(3x^2 + 1x -8)  

15x^2 + 5x - 40  

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

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

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

What is a function?

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,

g(f(x)) = 4(3x² + x - 8) + 5

Simplify the function, then we have

g(f(x)) = 4(3x² + x - 8) + 5

g(f(x)) = 12x² + 4x - 32 + 5

g(f(x)) = 12x² + 4x - 27

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

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The daily production cost, C, for x units is modeled by the equation:
C = 200 – 7x + 0.345x2

Answers

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

Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.

Range is the set of possible results for c(x), i.e. possible costs.

You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.

You can substitute some values for x to help you, for example:

x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42

10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745


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

The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.

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Answers

Answer:

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Step-by-step explanation:64-9.75=54.75

Answer:64-9.75=54.25

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

(C) 1/2

Step-by-step explanation:

s + 3s = 4st + 3t = 4t

If 4s is 2 more than 4t, then:

4s = 2+ 4t4s - 4t = 24s/4 - 4t/4 = 2/4s - t = 1/2

(C) is the answer

Answer:

C

Step-by-step explanation:

We are given

t + 3t + 2 = s + 3s, that is

4t + 2 = 4s ( subtract 4t from both sides )

2 = 4s - 4t ← factor out 4 from each term

2 = 4(s - t) ← divide both sides by 4 , thus

s - t = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] → C

1/1 1/4 1/9 what's the pattern
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Answers

Answer:

adding a fifth

Step-by-step explanation:

Answer:

adding a fifth

Step-by-step explanation:

duhhhhhhhhhhhh

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Answer:

a its the first one

Step-by-step explanation:

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

Answer:

Angles 1 and 2 are supplementary

Step-by-step explanation:

Cassie is baking cookies from scratch. Her recipe calls for 7/8 of a cup of sugar per batch. If she is baking Just 2/3 of abatch of cookies, how much sugar should she use?

Answers

Answer

A

Step-by-step explanation:

Point G is on line segment FH. Given FG = 4 and FH = 20, determine the
length GH

Answers

Answer:

16

Step-by-step explanation:

20-4=16

There are 4 circles and 20 triangles. What is the simplest ratio of circles to total shapes?

Answers

Answer:

1 :5

Step-by-step explanation:

[tex]4\:circles\\20\:triangles\\\\Total\:shapes = 20+4 =24\\\\Circle : Total\:shape\\4 : 20\\\\Cross-cancel\:common\:factor ; 4\\4\div 4 =1\\20\div 4 =5\\\\= 1 :5[/tex]

Answer:

the answer is 1:5 bc if you do your time table connect it all it would be 1 to 5 sorry if you do this and it takes so long but hope this helped :)

A sample of gold weighs 100 grams and has a volume of 5.18 cm'. What is the density of gold?

Answers

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

1 Find the shaded area for each of the following shapes.
b
d
6.0m
28 mm
14 cm
40 mm
submitted response:​

Answers

Answer:

the answer is 40

If 1/3 of a bag of fertilizer will cover 1/9 of a lawn, how many bags of fertilizer are needed for the entire lawn?

Answers

Answer:

3 bags

Step-by-step explanation:

9*(1/3 bag) = 3 bags

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

Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi

Using the Formula:

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

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

From equation (1):

[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]

From equation (1):

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Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]

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