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

Answers

Answer 1

Answer:

AC = 22

Step-by-step explanation:

AB + BC = AC , substitute values

4x - 6 + 4 = 2x + 10 , that is

4x - 2 = 2x + 10 ( subtract 2x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22


Related Questions

simplify 6a+4b+8+3b-4a+9

Answers

Answer:

2a+7b+17

Step-by-step explanation:

MATH

please help me for my homework​

Answers

Answer:

49/100

Step-by-step explanation:

Answer:

Decimal Fraction Percentage

0.49 49/100 49%

How much time has passed from the first clock to the second clock?
The time passed is less than 12 hours. 4:20 and 8:55

Answers

I believe 4 hours and 35 minutes has passed.

can anyone solve this please it's an urgent ​

Answers

Answer:

missing element is 6

Step-by-step explanation:

Given

f(x) = x³ - 2 ( substitute x = 2 )

f(2) = 2³ - 2 = 8 - 2 = 6 ← missing element

ordered pair is (2, 6 )

Answer:

[tex]f(x) = {x}^{3} - 2 \\ f(2) = {2}^{3} - 2 \\ = 8 - 2 = 6 \\ (2 \: \: 6) \\ thank \: you[/tex]

plz answer this question for me

Answers

Answer:

Top left one

Step-by-step explanation:

Acellus
Complete the data table for the function
f(x) = (x + 2 - 6.
X
-2
-1
2
Y
[?]
Enter

Answers

[tex]\\ \sf\Rrightarrow f(x)=\sqrt{x+2}-6[/tex]

[tex]\\ \sf\Rrightarrow f(-2)[/tex]

[tex]\\ \sf\Rrightarrow \sqrt{-2+2}-6[/tex]

[tex]\\ \sf\Rrightarrow 0-6[/tex]

[tex]\\ \sf\Rrightarrow -6[/tex]

And

[tex]\\ \sf\Rrightarrow f(-1)[/tex]

[tex]\\ \sf\Rrightarrow \sqrt{-1+2}-6[/tex]

[tex]\\ \sf\Rrightarrow \sqrt{1}-6[/tex]

[tex]\\ \sf\Rrightarrow 1-6[/tex]

[tex]\\ \sf\Rrightarrow -5[/tex]

And

[tex]\\ \sf\Rrightarrow f(2)[/tex]

[tex]\\ \sf\Rrightarrow \sqrt{2+2}-6[/tex]

[tex]\\ \sf\Rrightarrow \sqrt{4}-6[/tex]

[tex]\\ \sf\Rrightarrow 2-6[/tex]

[tex]\\ \sf\Rrightarrow -4[/tex]

And

[tex]\\ \sf\Rrightarrow f(7)[/tex]

[tex]\\ \sf\Rrightarrow \sqrt{7+2}-6[/tex]

[tex]\\ \sf\Rrightarrow \sqrt{9}-6[/tex]

[tex]\\ \sf\Rrightarrow 3-6[/tex]

[tex]\\ \sf\Rrightarrow -3[/tex]

A receptionist named Tanner spends 3 minutes routing each incoming phone call. In all,
how many phone calls does Tanner have to route to spend a total of 21 minutes on the
phone?

Answers

Answer:

7

Step-by-step explanation:

21/3 = 7

Hope this helps!

The Sierpinski triangle (pictured below) is a fractal image. The original figure is an equilateral triangle. In each step, the computer splits every triangle in the design into 444 congruent equilateral triangles, and removes the center one from the design. The area remaining in a particular design after nnn steps can be shown using the following expression:
\qquad\dfrac{25\sqrt{3}}{2}\cdot\left(\dfrac{3}{4}\right)^n
2
25
3



⋅(
4
3

)
n
start fraction, 25, square root of, 3, end square root, divided by, 2, end fraction, dot, left parenthesis, start fraction, 3, divided by, 4, end fraction, right parenthesis, start superscript, n, end superscript
The image shows 4 triangular figures, which represent the Sierpinski triangle fractal at 0, 1, 2, and 3 iterations.
The original triangular figure is an equilateral triangle which is entirely shaded. The triangular figure labeled n = 1 is formed by subdividing the original triangle into 4 congruent triangles and removing the middle triangle. The triangular figure for n = 2 is formed by subdividing each of the congruent triangles from the figure labeled n = 1 into 4 congruent triangles and removing the middle triangles.
The triangular figure for n = 3 is formed by subdividing each of the congruent triangle from the figure labeled n = 2 into 4 congruent triangles and removing the middle triangles.
The image shows 4 triangular figures, which represent the Sierpinski triangle fractal at 0, 1, 2, and 3 iterations. The original triangular figure is an equilateral triangle which is entirely shaded. The triangular figure labeled n = 1 is formed by subdividing the original triangle into 4 congruent triangles and removing the middle triangle. The triangular figure for n = 2 is formed by subdividing each of the congruent triangles from the figure labeled n = 1 into 4 congruent triangles and removing the middle triangles.
The triangular figure for n = 3 is formed by subdividing each of the congruent triangle from the figure labeled n = 2 into 4 congruent triangles and removing the middle triangles.
What does \dfrac{25\sqrt{3}}{2}
2
25
3



start fraction, 25, square root of, 3, end square root, divided by, 2, end fraction signify in the expression?

Answers

Answer:

B

Step-by-step explanation:

thats what it is in khan i think

A car initially traveling at 20 kilometers per hour takes 10 seconds to speed up to 70 km/hour. At what rate is it changing speed?

Answers

Initial velocity=u=20km/hFinal velocity=v=70km/hTime=10s=t

Convert speeds to m/s

[tex]\\ \rm\longmapsto u=20\times\dfrac{5}{18}=5.05m/s[/tex]

[tex]\\ \rm\longmapsto v=70\times \dfrac{5}{18}=19.4m/s[/tex]

[tex]\boxed{\sf Acceleration=\dfrac{v-u}{t}}[/tex]

[tex]\\ \rm\longmapsto Acceleration=\dfrac{19.4-5.05}{10}[/tex]

[tex]\\ \rm\longmapsto Acceleration=\dfrac{14.3}{10}[/tex]

[tex]\\ \rm\longmapsto Acceleration=143m/s^2[/tex]

d. 3h =
h = 3.66 hours
2. Jane can run 2 miles per hour around the Belmont Track. He
needs to run a total of 10 miles and has already done 3
miles. Which equation and answer shows the number of
hours (h) it will take for him to run the rest of the miles?
e. 2h + 3 = 10; h = 3.5 hours
f. 3h + 2 = 10; h = 2.66 hours
g. 2h = 10 ; h = 5 hours
h. 3h = 10 ; h = 3.33 hours
(hp

Answers

Answer: e. 2h + 3 = 10; h = 3.5h

Explanation:

Jane can run 2 miles per hour. (2h)

He need to run 10 miles in total and has done 3 so far. (+ 3 = 10)

The equation can be written:

2h + 3 = 10
2h = 7
h = 7/2 = 3.5




Markus has 4 white hats and 5 black hats in his closet. If he
randomly takes 1 of these 9 hats from his closet, what is the
probability that the hat that Markus takes is black?

Answers

Answer:

black hat

Step-by-step explanation:

as you know that there are 5 black hats so any of one black hat will be on his hand

Consider the graphs of f (x) = l x l + 1 and g (x) = 1/x^3. The composite functions f(g(x)) and g(f(x)) are not commutative, based on which observation?

Answers

Answer:

C on edge

Step-by-step explanation:

The domains of f(x) and g(x) are different. (answer)

The domains of graph f(x) and g(x) are different.

What is commutative function?

A mathematical operation is commutative if the numbers used can be changed without changing the outcome. As illustrated here, addition and multiplication are two examples of commutative operations. 2+3 = 5

3+2 = 5

2*3 Equals 6

3*2 Equals 6.

To learn more about commutative functions refer to:

https://brainly.com/question/17299449

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if two rectangles have the same perimeter, do they have to be congruent??​

Answers

Answer:

No they do not have to be congruent.

Two rectangles with the same perimeter but may not be congruent, because the length and width dimensions of each may be different.

Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.

You are given line AB and point C. Construct a line parallel to line AB that passes through point C.

Student A Steps:
1. Draw a line that intersects points B and C.
2. Draw a line through point C and point G.
3. Keep the compass at the same width, and place it on point C.
4. Keeping the compass at the same width, place it on point F.
5. Mark the intersection of the two arcs as point G.
6. Open the compass to the width between points D and E.
7. Place the compass on point B, and swing an arc that crosses line AB and line BC.
8. Label the points D and E.
9. Swing an arc that crosses line BC, and label the point F.
10. Swing an arc that intersects the arc created from line BC at point C.

Student B Steps:
1. Draw a line that intersects points B and C.
2. Place the compass on point B, and swing an arc that crosses line AB and line BC.
3. Label the points D and E.
4. Keep the compass at the same width, and place it on point C.
5. Swing an arc that crosses line BC, and label the point F.
6. Open the compass to the width between points D and E.
7. Keeping the compass at the same width, place it on point F.
8. Swing an arc that intersects the arc created from line BC at point C.
9. Mark the intersection of the two arcs as point G.
10. Draw a line through point C and point G.

Answers

Answer:

This was not done by me! Credit to another expert on Brainly named caylus.

As it is impossible to understand who have done what ,

the correct construction should be :

You are given point A, point B and point C.

Construct a line parallel to that line AB passing through point C.

1) Place the compass on point B, and swing an arc that crosses line AB and line BC.

 Label the points D and E.

2) Keep the compass at the same width, and place it on point C.

3) Swing an arc that crosses line BC, and label the point F outside the segment [BC] .

4) Open the compass to the width between points D and E.

 Keeping the compass at the same width, place it on point F.

5) Swing an arc that intersects the arc created from line BC at point C.

6) Mark the intersection of the two arcs as point G.

7) Draw a line through point C and point G.

You just have to discover who has done that.

If x=1/8 what is the value of y when 2/x = y/4

Answers

Answer:

y = 64

Step-by-step explanation:

x = 1/8

Substituting x in the equation,

=> 2/(1/8) = y/4

=> 2 x 8 = y/4

=> 16 = y/4

=> y/4 = 16

=> y = 16 x 4

=> y = 64

The value of y will be;

⇒ y = 64

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 2/x = y/4

Now,

Since, The expression is,

⇒ 2/x = y/4

Substitute x = 1/8, we get;

⇒ 2/(1/8) = y /4

⇒ 2 × 8 = y / 4

⇒ 16 × 4 = y

⇒ y = 64

Thus, The value of y = 64

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

A toy manufacturer produces a set of blocks, with edge b, that can be used by children to build play structures. The production team is analyzing the amount of paint they need for a block

Answers

The expression for the total number of blocks is

This question seems to be incomplete. Here is the complete question :

A toy manufacturer produces a set of blocks that can be used by children to build play structures. The product packaging team is analyzing different arrangements for packaging their blocks. One idea they have is to arrange the blocks in the shape of a cube, with b blocks along one edge.

Write an expression representing the total number of blocks packaged in a cube measuring b blocks on one edge.

A cube is a 3-dimensional object that has six faces.

Characteristics of a cube

It has six faces It has twelve edges It has eight vertices Intersecting edges are perpendicular

Volume of a cube = a³

Where a = length of a side

The expression that would be given is the volume of a cube. Since the length of the edge is b, the expression would be

To learn more about cubes, please check : https://brainly.com/question/11168779?referrer=searchResults

please help it is midpoint

Answers

(15,9)(1,-9)

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{15+1}{2},\dfrac{9-9}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{16}{2},\dfrac{0}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=(8,0)[/tex]

Answer:

[tex]mid \: point \: for \: x = \frac{x1 + x2}{2} \\ = \frac{15 + 1}{2} = \frac{16}{2} = 8 \\ mid \: point \: for \: y = \frac{y1 + y2}{2} \\ = \frac{ - 9 + 9}{2} \\ = \frac{0}{2} \\ = 0then \: (x \: y) = (8 \: 0) \\ thank \: you[/tex]

hey please help i’ll give brain

Answers

Answer:

The missing numbers are 5, then 35, then 49.

Step-by-step explanation:

I promise it's right :)

Hi ;-)

[tex]7\times7=(\boxed5\times7)+(2\times7)\\\\=\boxed{35}+14\\\\=\boxed{49}[/tex]

30 Oreo cookies for $2.99
Unit rate

Answers

Answer:

$0.10 per oreo

Step-by-step explanation:

To find the unti rate, all we need to do is divide.

2.99 / 30 ≈ 0.10

Best of Luck!

10) Joe's farm has 2 pumpkin fields with a total area of 5 3/4 , acres. The big field
yields 2 1/3 Tons of pumpkins and the small field yields 1 2/5 Tons of pumpkins
a) what is the total yield of both fields?
b) what is the total yield per acre for both fields combined?

Answers

I think a should be 3 and 11/15 tons. I think b should be 224/345 tons per acre.

Work out 3% of 860kg

need this asap!!!

Answers

Answer:

3% of (860 kilograms) =

25.8 kilograms

Answer:

Step-by-step explanation:

3 * 860/100

= 2580/100

= 25.8.

help me please I need help to my question
[tex] \sqrt{50} + \sqrt[]{18} - 8 \sqrt[]{2} [/tex]

Answers

Answer:

[tex] \sqrt{50} + \sqrt{18} - 8 \sqrt{2} \\ \\ 5 \sqrt{2} + 3 \sqrt{2} - 8 \sqrt{2} \\ \\ 8 \sqrt{2} - 8 \sqrt{2 } \\ \\ = 0[/tex]

Given the expression:

[tex] \displaystyle \large{ \sqrt{50} + \sqrt{18} - 8 \sqrt{2} }[/tex]

Since we have 2 in the square root from 8√2. We will be converting terms in √2 form so we can. evaluate.

As we know, 50 comes from 5×10 = 5×5×2

and 18 comes from 9×2 = 3×3×2.

[tex] \displaystyle \large{ \sqrt{5 \times 5 \times 2} + \sqrt{3 \times 3 \times 2} - 8 \sqrt{2} }[/tex]

In the square root, if there are two same numbers, we can pull it out as one.

Ex. √5×5 would be 5. Refer to below:

[tex] \displaystyle \large{ \sqrt{a \times a} = \sqrt{ {a}^{2} } = |a| }[/tex]

Since there are two fives and two threes in the square root, we pull these numbers out only one.

[tex] \displaystyle \large{ 5\sqrt{2} + 3 \sqrt{2} - 8 \sqrt{2} }[/tex]

Because these terms have the same square root of 2, we can evaluate 5+3-8.

[tex] \displaystyle \large{ 8 \sqrt{2} - 8 \sqrt{2} } = 0[/tex]

Of course, like term - like term = 0

Hence, the answer is 0.

Solve for x. Show all your work to receive full credit.

Answers

Answer:

x=6

Step-by-step explanation:

23x-5 + 5x+17 = 180

28x+12=180

28x=180-12

28x = 168

x=168/28

x= 6

Given f(x)=9x^2 find f(-3)

Answers

Answer: f(-3) = 81

Step-by-step explanation:

f(-3) = 9(-3^2)

f(-3) = 9(9)

f(-3) = 81

Answer:

f(- 3) = 81

Step-by-step explanation:

Substitute x = - 3 into f(x) , that is

f(- 3) = 9(- 3)² = 9(9) = 81

find the radius of a circle that has an area of 803.84 cm squared

Answers

Answer:

Radius = 16

Step-by-step explanation:

Area = πr²

803.84 = 3.14(r²)

256 = r²

√256 = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Could someone please walk me through how to solve this?

Answers

[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }[/tex]

There is a plant whose growth can be represented by a linear function. At 1 week it is
2 inches tall and at 2 weeks it is 4 inches tall. Write a linear equation to represent the
growth of the plant.
O y = 2x + 2
O y = 2x
O y = 4x + 2

Answers

Answer:

y=2x

Step-by-step explanation:

we can set x=number of week, and y=inches

as you can see, 1 week-> x=1 :y=2(1) = 2 inches

                         2 week-> x=2 :y=2(2)=4 inches

**if we substitute x to  y = 2x + 2 and y = 4x + 2, it will not works.

Question : -6+(-6)+(-6)

Answers

I believe -18!

-6-6-6
Answer: -18
-6-6-6 (add values, keep the negative sign)

In the figure below, line / line m. If the measure of Z1 =125° and the measure of <=50', then what is the measure of
25 ?
5
34
m
05
O 75
O 55
O 105

Answers

55 because alternate interior angles are congruent and then you can do some basic algebra
Answer: angle 5 is 55 degrees.

Start by solving for angle 2 by using the linear pair rule: all linear angles sum to 180

125 + angle 2 = 180

angle 2 = 55

Now, we know that line l and line m are parallel. If we look at these two lines plus the left side of the triangle, we can see it forms a z shape. This means angle 2 and angle 5 are alternate exterior angles. This means they are congruent.

what is ordered pair​

Answers

Answer:

see explanation

Step-by-step explanation:

An ordered pair is a set of coordinates (x, y )

This can be o point on a graph or the solution to a system of equations or values from a table

Answer: It's a point on a graph (y,x)

Step-by-step explanation:

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