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
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
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
Help please!!!!!!!!!!!!!!!!!!!!!!!!
Answers
i think its B not sure tho sorry
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
Help me with segment addition postulate
Answers
Answer:the answer is 15
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
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.
(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
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.
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
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.
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
: 9(p + 2) = 3(3p – 5)
Find the inequality with its graph
Answers
Answer:
NKKNKND FG
Step-by-step explanation:
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
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
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
Factor the equation.
x^2 + 7x = 3x + 12
Answers
Answer:
3489.9583
Step-by-step explanation:
but htts its s
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
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]
a proportional relationship can be shown in two different ways:
Answers
What are u asking ? I’m don’t get it
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 70°
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
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
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
Using the expression 10xy + 6, what are the
variables?
Pleasee huryyy!!
Answers
Answer:xy
Step-by-step explanation:
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
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.
V=1/3nr^2h ; solve for r
Answers
Answer: r=3v/2nh
Step-by-step explanation:
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: