Mathematics High School

## Answers

**Answer 1**

Answer:

3

Step-by-step explanation:

Solve for m.

3x + 4 = mx + 4 subtract 4 from each side

3x + 4 - 4 = mx + 4 - 4 the 4’s on both sides will cancel

3x = mx divide each side by x

3x/x = mx/x The x cancels and you’re left with

3 = m

If m = 3 then

3x + 4 = mx + 4 will become

3x + 4 = 3x + 4 subtract 4 from each side

3x + 4 - 4 = 3x + 4 - 4 the 4’s on both sides will cancel

3x = 3x divide each side by 3

3x/3 = 3x/3 The 3s cancel and you’re left with

x = x

So for any value of x, positive or negative, they will equal each other. Therefore there are an infinite number of solutions when m = 3

## Related Questions

1. & 2. In the diagram below, points A, B, and C are collinear. Answer each of the following questions. The figure shown below is not drawn to scale, meaning you cannot determine your answers by using your ruler.

### Answers

Answer:

a. 8 in

b. 9¾ in

Step-by-step explanation:

a. Given:

AC = 5 in

CB = 3 in

Since points A, C and P are collinear, therefore,

AC + CB = AB (segment addition postulate)

5 + 3 = AB (substitution)

8 = AB

AB = 8 in

b. Given:

AC = 6¼ in

CB = 3½ in

AC + CB = AB (segment addition postulate)

6¼ + 3½ = AB (substitution)

9¾ = AB

AB = 9¾ in

Help me with segment addition postulate

### Answers

**Answer:the answer is 15**

Hey! This is my first question! The equation is relatively simple but something makes me not understand it. Your help would be greatly appreciated. :)

### Answers

Answer:101°

Step-by-step explanation:

79 + 101=180

**Answer:**

101 = LHK

**Step-by-step explanation:**

GHK = GHL + LHK

GHK is a straight line so it equals 180

180 = 79+ LHK

Subtract 79 from each side

180-79 = 79-79+ LHK

101 = LHK

A woman wants to send a framed photograph of her family to her parents. The frame is 9 in long and 7 in wide. Will the frame lay flat in a box that has a square base, height 6 in., and volume 546 in.³ ?

### Answers

**Step-by-step explanation:**

V=l*b*h , it's square, so l=b

V=l*h

l=V/h

l=546/6

l=91 in

So, if length of base is 91 in, the frame will be easily lay flat

Which expression represents the phrase? "The product of 5 and 6 reduced by t." A) 5 – 6t B) 5(6 – t) C) 5(6 + t) D) 5 + 6t

### Answers

**Answer:**

B. 5(6-t)

**Step-by-step explanation:**

5(6-t)

means that 5*6 reduced by t

: 9(p + 2) = 3(3p – 5)

Find the inequality with its graph

### Answers

**Answer:**

NKKNKND FG

**Step-by-step explanation:**

Find the value of ‘x’ for each of the following

7. X=

8.X=

9.X=

10.x=

### Answers

**Answer:**

7. x=9

8. x=12

9. x=[tex]\sqrt{85}[/tex]

10. x=[tex]\sqrt{45}[/tex]

You are building a shelf that fits in a corner. In the figure, the entire shelf is △LMN. Each unit in the coordinate plane represents one inch.

Find the area A of the shelf.

A= __ in.2

### Answers

Answer: 50in'2

Step-by-step explanation:

First you would do: |25-(5)| since they share the same x value. Which would be 20

Next: |5-10|= 5, since N and M share the same y value

Lastly you would plug in those values to find the area of a triangle: 5*20*1/2= 50 in

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of

$47.65. If Hugh bought 3 magazines, how many books did he buy?

The equation that models the problem is 3.95m + 8.95b = 47.65, where m is the number of magazines and b is the

number of books?

### Answers

**Answer:**

**Step-by-step explanation:**

The equation is 3.95m + 8.95b = 47.95 where m is the amount of magazines bought and b is the amount of books bought. 47.95 is the total spent. We know that he bought 3 magazines, so we can switch m with 3. 3.95 multiplied by 3 is 11.85. The equation is now 11.85 + 8.95b = 47.65. Subtract 11.85 from both sides to get b by itself. 8.95b = 35.8. Divide both sides by 8.95 to get b by itself. b = 4

Hugh bought 4 books.

I hope this helped!

Answer:

m=3 b=4

**Step-by-step explanation:**

3.95 x 3 = 11.85

47.65 - 11.85 = 35.8

35.8 ÷ 8.95 = 4

m=3 b=4

The sum of two numbers is 12

and their product is 32.

What are the two numbers ?

### Answers

**Answer:**

8 and 4

**Step-by-step explanation:**

8 x 4= 32

8+4 = 12

Are these inverses of one another?

Yes

No

No way to tell

### Answers

It should be (Yes) because the graph is really cleanse that it is inverses of one another.

What is the slope of the line shown?

A : slope = -1/3

B : slope = 8

C : slope = 3

D : slope -3

### Answers

Answer is D slope -3

Yes the answer is d -3

how much is it 320,000×_=32,000,000

### Answers

**Answer:**

100.

**Step-by-step explanation:**

320,000×**100**=32,000,000

100

since 32,000,000 is two place values greater than 320,000

so

320,000 * 100 = 32,000,000

please help its due today!!!

### Answers

**Answer:**

line a and b are perpendicular as well as c and b

i think if not then none of them are because its hard to tell since they are sideways

**Step-by-step explanation:**

Hi guys my little brother needs help to Do his homework And I’m doing mine so I can’t help him can anyone help plzz

### Answers

The answer is 91.77

22.89 x 2 =45.78

45.78 + 45.99 = 91.77

V=1/3nr^2h ; solve for r

### Answers

Answer: r=3v/2nh

Step-by-step explanation:

Using the expression 10xy + 6, what are the

variables?

Pleasee huryyy!!

### Answers

**Answer:xy**

**Step-by-step explanation:**

What is the next number in the following pattern?

4,- 6, 8,- 10, 12, ...

### Answers

**Answer:**

-14

**Step-by-step explanation:**

im not really sure

**Answer: -14**

**Step-by-step explanation: its basically counting by 2, but going from positive to negative**

8. The endpoints of ST are $(-3, 2) and T(5,8). Find the coordinates of

the midpoint of ST. Then find ST.

### Answers

**Answer:**

**Option (A)**

**Step-by-step explanation:**

If the extreme ends of a segment are [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex],

Coordinates of the mid-point will be = [tex][\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}][/tex]

And the length of the segment is = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of the extreme ends of the ST are S(-3, 2) and T(5, 8).

Therefore, coordinates of the midpoint of ST will be = [tex](\frac{-3+5}{2},\frac{2+8}{2})[/tex]

= [tex](1,5)[/tex]

Length of ST = [tex]\sqrt{(5+3)^2+(8-2)^2}[/tex]

= [tex]\sqrt{64+36}[/tex]

= 10 units

**Option (A) will be the answer.**

PLEASE PLEASE HELP ME WITH THIS!!

### Answers

**Answer:**

A

**Step-by-step explanation:**

The square root of 5/3 is irrational because it cannot be expressed as the ratio of two integers (which is the definition of irrational numbers). If you were to put this into a calculator the answer would go on forever and never repeat, similar to pi, a famous irrational number.

Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both expressions?

### Answers

**Answer:**

6

**Step-by-step explanation:**

3( 4x - 6)

Let x =2

3( 4*2 -6)

3(8-6)

3*2

6

Check

12x-18

12*2 -18

24-18

6

Both equal 6

The value of each expression is 6.

Explanation: right on edg.

filiate

Consider the line MU for M(-1, 1) and U(4, 5).

what’s the distance from M to U ?

### Answers

**Answer:**

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{41} \: \: units}}}}}[/tex]

**Step-by-step explanation:**

Let M ( -1 , 1 ) be ( x₁ , y₁ ) and U ( 4 , 5 ) be ( x₂ , y₂ )

**Finding**** ****the**** ****distance**** ****from ****M**** ****to**** ****U**** **

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

[tex] \longrightarrow{ \sf{ \sqrt{ {(4 - ( - 1))}^{2} + {(5 - 1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(4 + 1)}^{2} + {(5 - 1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(5)}^{2} + {(4)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{25 + 16}}} [/tex]

[tex] \longrightarrow{ \sf{ \sqrt{41} }}[/tex] units

The distance from M to U is [tex] \sf{ \sqrt{41} \: \: units}[/tex]

Hope I helped!

Best regards! :D

**Answer:**

The answer is

[tex]\sqrt{41} \: \: or \: \: 6.403 \: \: \: units[/tex]

**Step-by-step explanation:**

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M(-1, 1) and U(4, 5)

The distance from M to U is

[tex] |MU| = \sqrt{ ({ - 1 - 4})^{2} + ( {1 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 4})^{2} } \\ = \sqrt{25 + 16} [/tex]

We have the final answer as

[tex] \sqrt{41} \: \: or \: \: 6.403 \: \: \: units[/tex]

Hope this helps you

a proportional relationship can be shown in two different ways:

### Answers

What are u asking ? I’m don’t get it

Which list correctly orders A, B, and c from lеаѕt tо greatest whеn A = -8, B = |-6| and c = |11|

А. В. С

С. А. В

В, А, С

С, В, А

### Answers

**Answer:**

Correct order: C, B, A

The last answer : )

**Step-by-step explanation:**

A = -8

B = -6

C = 11

Correct order: C, B, A

The last answer : )

*Hope this helps!! : )*

The **order **of the expressions from **least to greatest **is A, B, C

How to order the numbers?

The **equation **of the numbers are given as:

A = -8, B = |-6| and c = |11|

Evaluate the **absolute value **expressions

A = -8, B = 6 and c = 11

**Order **the expressions from least to greatest

A = -8, B = 6 and c = 11

Hence, the **order **of the expressions from **least to greatest **is A, B, C

Read more about **order** at:

https://brainly.com/question/1094377

Autum school holding a voleturing challeng. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volenteers abou the same amount each week. During a 3- week period she volunteers for 6 3/4 hours. Autumn wants to compare her volunteers rate with the challenge rate

### Answers

**Given :**

Challenge given is to volunteer for about 1 1/2 hours per week .

Autum did at a rate of 6 3/4 hours per week .

**To Find :**

The comparison ( ratio ) her volunteers rate with the challenge rate .

**Solution :**

Simplifying challenge rate in in normal fraction , [tex]1\dfrac{1}{2}=\dfrac{2+1}{2}=\dfrac{3}{2}[/tex] .

Also , simplifying her rate , [tex]6\dfrac{3}{4}=\dfrac{(6\times 4)+3}{4}=\dfrac{27}{4}[/tex] .

Now , ratio of his work by challenge is :

[tex]R=\dfrac{\dfrac{27}{4}}{\dfrac{3}{2}}\\\\\\R=\dfrac{27\times 2}{4\times 3}\\\\R=\dfrac{9}{2}[/tex]

Therefore , the ratio is 9/2 or 4 1/2 .

Hence , this is the required solution .

Autumn **volunteered **3/4 **hours **per **week **more than the least hours per week of volunteering.

Given that,

Autumn school holding a valeting challenge. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volunteers about the same amount each week. During a 3- week period she volunteers for 6 3/4 hours.

What is the rate of change?

**Rate **of **change **is defined as the **change **in **value **with respect to **time **is called rate of change.

Here,

Autumn wants to compare her volunteer rate with the challenge rate,

So

Extra hours of volunteering = 6 3/4 - 3 [ 1 1/2] = 2 1/4

Rate of volunteering per week = [2 1 / 4] / 3 = 3 / 4

Thus, Autumn **volunteered **3/4 **hours **per **week **more than the least hours per week of volunteering.

Learn more about the **rate **of **change **here:

https://brainly.com/question/13103052

#SPJ5

I am somewhat confused on how to do this, can someone explain? thanks!

### Answers

Answer:

(3x-1)×2=12-x

Step-by-step explanation:

AC = 3x - 1

AD = 12 - x

AD = AC + CD

After putting the values given above,

12 - x = 3x - 1 + CD

12 - x - 3x + 1 = CD

13 - 4x = CD

If C is the midpoint of AD then

AC = CD

3x - 1 = -4x + 13

3x + 4x = 13 + 1

7x = 14

X = 14 / 7

X = 2

CD = - 4x + 13

CD = - 4(2) + 13

CD = - 8 + 13

CD = 5

i will give brainliest!!

### Answers

**Answer:**

[tex] \huge{ \boxed{ \sf{70}}}[/tex]

**Step-by-step explanation:**

[tex] \underline{ \sf{Given}} : [/tex]

[tex] \sf{ \angle \:FGJ \: = \: 30° \:, } \: \: \angle \: JGH \: = \: 40° \: , \: \angle \: FGH= x[/tex]

Finding the value of x°

[tex] \sf{ \angle \: FGH= \angle \: FGJ \: + \: \angle \: JGH\:}[/tex]

Plug the values

[tex] \mapsto{ \sf{x = 40 + 30}}[/tex]

Add the numbers

[tex] \mapsto{ \sf{x = 70}}[/tex]

The value of x° is **7****0****°**

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Factor the equation.

x^2 + 7x = 3x + 12

### Answers

**Answer:**

3489.9583

**Step-by-step explanation:**

but htts its s

(Sin4x+2Sin3x+Sin2x)/

Sinx=

2Sin3xCotx/2

### Answers

**Answer:**

Consider the given equation.

4sinxsin2xsin4x=sin3x

2(2sin2xsinx)sin4x=sin3x

We know that

2sinAsinB=cos(A−B)−cos(A+B)

Therefore,

2[cos(2x−x)−cos(2x+x)]sin4x=sin3x

2[cosx−cos3x]sin4x=sin3x

2sin4xcosx−2sin4xcos3x=sin3x

We know that

2sinAcosB=sin(A+B)+sin(A−B)

Therefore,

sin(4x+x)+sin(4x−x)−[sin(4x+3x)+sin(4x−3x)]=sin3x

sin(5x)+sin(3x)−[sin(7x)+sin(x)]=sin3x

sin(5x)−sin(7x)=sin(x)

We know that

sinC−sinD=2cos(

2

C+D

)sin(

2

C−D

)

Therefore,

2cos(

2

5x+7x

)sin(

2

5x−7x

)=sinx

2cos(

2

12x

)sin(

2

−2x

)=sinx

2cos(6x)sin(−x)=sinx

−2cos(6x)sin(x)=sinx

cos6x=−

2

1

6x=2nπ±

3

2π

x=

3

nπ

±

9

π

Hence, the value is

3

nπ

±

9

π

.

sorry mate don't know the answer

Help please!!!!!!!!!!!!!!!!!!!!!!!!

### Answers

i think its B not sure tho sorry