For What Value Of M Does 3x + 4 = Mx + 4 Have An Infinite Number Of Solutions? (2024)

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

The answer is 91.77

22.89 x 2 =45.78

45.78 + 45.99 = 91.77

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

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

Answer:the answer is 15

Answer:

B. 5(6-t)

Step-by-step explanation:

5(6-t)

means that 5*6 reduced by t

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.

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

.

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

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.

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

Answer:

NKKNKND FG

Step-by-step explanation:

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

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

Answer:

3489.9583

Step-by-step explanation:

but htts its s

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

Answer:

7. x=9

8. x=12

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

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

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 70°

Hope I helped!

Best regards! :D

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

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

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

Answer:

8 and 4

Step-by-step explanation:

8 x 4= 32

8+4 = 12

Answer:xy

Step-by-step explanation:

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

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.

Answer: r=3v/2nh

Step-by-step explanation:

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: