Show that 2/4-x = 10/4+x

is equivalent to 12x = 32 for all values of x not equal to 4 or -4

Answers

Answer 1

Answer:

See proof below

Step-by-step explanation:

Given the expression 2/4-x = 10/4+x

Cross multiply

10(4-x) = 2(4+x)

10(4) - 10x = 2(4)+ 2x

40 - 10x = 8 + 2x

-10x - 2x = 8 - 40

-12x = -32

Multiply both sides by -1

-1(-12x) = -1(-32)

12x = 32

This shows the required expression


Related Questions

Can someone help please please

Answers

Answer: A: (6, 5)

Step-by-step explanation:

When graphing a system of equations, you can find the solution by finding where the graphs intersect. In this case, the graphs intersect at (6, 5).

To verify that this is indeed a solution to the system of equations, we can substitute (6, 5) into both of the given equations:

[tex]y = \frac{1}{2}x + 2[/tex]

[tex]5 = \frac{1}{2} * 6 + 2[/tex]

[tex]5 = 3 + 2[/tex]

[tex]5 = 5[/tex]

[tex]y = x - 1[/tex]

[tex]5 = 6 - 1[/tex]

[tex]5 = 5[/tex]

Since both equations hold true when plugging in the given coordinate (6, 5), we know that this is a solution to the system of equations.

E = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23}
A = {odd numbers}
B = {multiples of 3}
Complete the Venn diagram for this information.
6
A
B
e
15,2​

Answers

Answer:

A=11,13,17,19 B=12,18 None=10,14,16,19 Both=15

Step-by-step explanation:

11,13,15,17,19 are all odd so they go in A

12,15,18 Are all multiples of 3 so they go in B

10,14,16,19 Are not classified so they go outside of the diagram but inside E

15 is odd and a multiple of 3 so put it in the center and not with A and B

Triangle PQR is shown. The triangle has a base of 4 in and a height a 2.5 in.



Which measurement is closest to the area of triangle PQR in square inches?

5 in2.

8 3/4in.2

6 1/2in.2

11in.2

Answers

Answer:

A

Step-by-step explanation:

Area = 1/2 * b * h

b = 4 in

h = 2.5 inches

Area = 1/2 * 4 * 2.5

Area = 2 * 2.5

Area = 5 in^2

what is the scale factor of the small triangle to the large triangle?

Answers

Answer:

I'm pretty sure it's 4.3?

Step-by-step explanation:

Because you divide the larger triangles side first because you are figuring out the scale factor of the small triangle to the larger triangle, not the other way around.

Sorry if i'm wrong

Answer:

first, find the area of the small triangle: 3 times 3 equals 9 divided by 2 equals 4.5.

second, find the area of the big triangle: 13 times 13 equals 169 divided by 2 equals 84.5.

Find difference: 84.5 minus 4.5 equals 80

x/4−1=3

What is the value of x?

Answers

Answer:

x = 16

Step-by-step explanation:

x/4 - 1 = 3

x/4 = 3+1

x/4 = 4

x = 4*4

x = 16

Answer:

x=16

Step-by-step explanation:

always multiply denominator by whatever it is to the number behind the equl sign after subtracting that one it would be whatever that number is *4

I need help with this problem please

Answers

Answer:

-9

Step-by-step explanation:

Remove parentheses.

9(−1)2−7

Subtract 77 from 22.

9(−1)−5

Rewrite the expression using the negative exponent rule b−n= 1/bn

91(−1)5

Raise −1 to the power of 5.

9(1/-1)

Divide 1 by −1.

9⋅−1

Multiply 9 by −1.

−9

Consider the following graph.
The x y coordinate plane is given. The curve begins at (0, 5) goes down and right becoming less steep, changes direction at (1, 2) goes up and right becoming more steep, goes through the approximate point (2, 3.1), goes up and right becoming less steep, changes directions at (3, 4), goes down and right becoming more steep, sharply changes direction at (4, 1), goes up and right becoming less steep passing through the approximate point (5, 4.2) and ends at (6, 6).
(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
(b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)
(c) Find the open interval(s) on which f is concave upward. (Enter your answer using interval notation.)
(d) Find the interval(s) on which f is concave downward. (Enter your answer using interval notation.)
(e) Find the coordinates of the point(s) of inflection.
(x, y) = ( )

Answers

a)Function is increasing in intervals (1,3) and (4,6).

b)Function is decreasing in intervals (0,1) and (3,4).

c)Graph is concave upward in the interval (0,2) and (3,5).

d)Graph is concave downward in the interval (3,4).

e)Points of inflection are x=3 and x=5.

Let us make the graph of the given function. In the graph, We have connected points linearly, please consider it as a curve.

What is the point of inflection?

The point of inflection or inflection point is a point in which the concavity of the function changes.

Therefore, From the attached graph, we can see that:

a)Function is increasing in intervals (1,3) and (4,6).

b)Function is decreasing in intervals (0,1) and (3,4).

c)Graph is concave upward in the interval (0,2) and (3,5).

d)Graph is concave downward in the interval (3,4).

e)Points of inflection are x=3 and x=5.

To get more about graphs visit:

https://brainly.com/question/1869945

Answer:

a.(1,3)U(4,6)

b.(0,1)U(3,4)

c.(0,2)

d.2,6

e. 2,3

Step-by-step explanation:

Looking at graph and finding intervals.

What is 0.5 (0.1)(1/2)

Answers

Answer:

0.025

Step-by-step explanation:

Please help ASAP. Thanks so much

Answers

Answer:

its A

Step-by-step explanation:

a is the answer bestie



A

How can postulates and theorems relating to similar
and congruent triangles be used to write a proof?​

Answers

Don’t click any links ON THIS AP

Let's assume our class is truly representative of the population at large. (a) Calculate the probability of having three right handed people in a sample of 10. Do this using R. (b) repeat, but this time calculate the probability of 3 or less right handed people in a sample of 10.n=17 right handed= 15 left handed=2

Answers

Answer:

0.1171875;

0.171875

Step-by-step explanation:

It is either a person is right handed or left handed

P(right handed) = 1/2

Probability of having 3 right handed people in a sample of 10 ;

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 3) = 10C3 * 0.5^3 * 0.5^7

P(x = 3) = 120 * 0.125 * 0.0078125

P(x = 3) = 0.1171875

Using R ;

P(x ≤ 3)

We can obtain these from R using ;

pbinom( r, n, p)

pbinom(3, 10, 0.5) = 0.171875

The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 200 square centimeters when its height
is 25 centimeters and its base length is 16 centimeters. What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?
0600 square centimeters
O 300 square centimeters
O 150 square centimeters
160 square centimeters

Answers

Answer:

150 square centimeters

Step-by-step explanation:

Area of a triangle:

The area of a triangle is the multiplication of 0.5, the base length and the height length.

What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?

[tex]A = 0.5*20*15 = 10*15 = 150[/tex]

The area of the triangle is 150 square centimeters.

What is the maximum value and what is the point the maximum value is at?

Answers

9514 1404 393

Answer:

  z = 47 at (x, y) = (3, 8)

Step-by-step explanation:

In the attached graph, the inequalities are graphed as their opposites, so the feasible solution region is the white area of the graph. The dashed boundary lines are part of the feasible region. The vertex of the feasible region that is farthest from the origin is ...

  (x, y) = (3, 8)

The value of z there is 5·3 +4·8 = 47.

The maximum value of z is 47 at the point (x, y) = (3, 8).

9. Find the value of
the expression.
16 + 4 + (42 - 3) =

Answers

Answer:

59

Step-by-step explanation:

16 + 4 + (42 - 3) = 20 + 39 =59

Answer:

59

Step-by-step explanation:

16 + 4 + (42-3) = 59. Do parentheses first. (42-3) = 39. Which changes the equation to 16 + 4 + (39). 39 + 4 = 43. Then the equation changes to 16 + 43. These added together equal 59. Hope this helps!

PEMDAS= Parentheses, exponents, multiplication, division, addition, and then subtraction.

This is the order in which to solve these types of equations, which is why I did the parentheses first.

How do you graph x+6y=0

Answers

Answer:

We need to put this equation into either form of a line, pererably, slope intercept form!

Step-by-step explanation:

To do this, out goal is to get y alone.

1. We subtract x on both sides.

2 We divide 6 on both sides.

3. Our answer is y= -x/6 ( negative x divided by 6)

4. The y-intecept value is when x is equal to zero, so plug in 0 for x and solve for y.

5. The y intercept is (0,0)

6. From (0,0) point, you go down -1 and move 1 to the right each time!

The graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph this equation, start by rearranging it to solve for y.

y = -x/6

Next, plot a few points to fill in the graph.

when x is 0,

y is 0.

When x is 6,

y is -1, and

when x is -6, y is 1.

Finally, connect the plotted points with a straight line.

The final graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

Hence, graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Please help 30 points pls

Answers

Answer:

4.75b; 8

Step-by-step explanation:

Area of triangle: height ÷ 2 × base

38 = 9.5 ÷ 2 × b

    = 4.75 × b

38 = 4.75b

b = 38 ÷ 4.75

b = 8

Answer:

4.75 & 8

Step-by-step explanation:

Hope this helps

a recipe calls for 3/4 of a cup of flour to make 5/8 of a pond of bread dough . how many cups of flour are needed to make 1 pound of douugh

Answers

6/5 cup

Thank you hope this helps

Convert 5.5 feet to inches. There are 12 inches in 1 feet.

Answers

Answer:

GIVE BRAINLIEST PLZ

Answer:66

Step-by-step explanation:

5.5* 12=66

There you go

Classify the solid figure.
O A. rectangular prism
O B. rectangular pyramid
O C. cylinder
O D. quadrilateral
HELP MEEE

Answers

That looks like a rectangular prism
It’s A.
..................

Find the surface area
Will give brainliest to first answer!!!!

Answers

120 I think I’m not sure

PLEASE I NEED HELP I GOT A PUPPY AND IM EXHAUSTED HE DOESNT SLEEP AT NIGHT

Answers

Answer:

False

Step-by-step explanation:

Plug 16 into the function as x

16+12=28

4≠28

Which type of graph uses images to represent data?
line graph
bar graph
pictograph
pie chart

Answers

pictograph uses images

Answer:

pictograph is a type of graph that use images to represent data or a given information and it is also called picture graph


In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?


Answers

Answer:

21

Step-by-step explanation:

Trust

The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.

We have:

In the diagram below, O is circumscribed about quadrilateral ABCD.

In a quadrilateral, the sum of the opposite angles is equal to 180 degree

5x + 75 = 180

5x = 105

x = 21

Thus, the value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ2

Hey all!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answers

Answer:

65°

Step-by-step explanation:

Use the law of cosines:

cos C = (25² + 27² - 28²)/(2*25*27)cos C = 0.4222m∠C = arccos 0.4222m∠C = 65°

ann and bill share an amount of money in ratio 7:n. Ann gets 28%of the money. workout value of n

Answers

· Author has 117 answers and 6.1K answer views
If they share the money in ratio 7:n

And Ann had 28%

Thus unit ratio will be 28/7 = 4

Since Bill had 100 - 28 = 72%

Bill ratio will be 72/4 = 18

7:n will be 7:18

Thus the value of n is 18

What is the area of this face? 12ft 6ft 6ft 6ft

Answers

Answer:

I don't know. I think I need the picture that is associated with it.

Step-by-step explanation:

If you are looking for an i-Ready answer, It is 180 ft squared

the question is in the picture!!​

Answers

9514 1404 393

Answer:

  (b)  ... because of the AA similarity postulate

Step-by-step explanation:

The problem statement tells you that you are showing ∠F≅∠C. We already know that ∠A≅∠D, because they are both marked as right angles. Thus the given mapping results in two of the three angles being shown congruent, allowing you to conclude ...

  ΔABC ~ ΔDEF because of the AA similarity postulate . . . . choice B

Lila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yielded 1/4 gallon each.



How many GALLONS of honey did Lila collect in all?

Answers

Answer: 1 1/6

Step-by-step explanation: i dont know if this is right, but hope it helps

Answer:

1 1/6

Step-by-step explanation:

Given function:

find the three beehives honey Lila total collected2/3,1/4,1/4

Combine the terms:

[tex]\frac{2}{3}+\frac{1}{4}+\frac{1}{4}=\frac{2}{3}+\frac{2}{4}[/tex]                    

Simplfly the fraction terms:

[tex]\frac{2}{3}[/tex]·[tex]4=\frac{8}{12}[/tex] [tex]\frac{2}{4}[/tex]·[tex]3=\frac{6}{12}[/tex]

Combine the terms:

[tex]\frac{8}{12}+\frac{6}{12}=\frac{14}{12}[/tex]

Simplifly the final value:

[tex]\frac{14}{12}=1\frac{2}{12}[/tex] [tex]1\frac{2}{12}=1\frac{1}{6}[/tex]

Therefore, the three beehives gives a total of 1 1/6 honey..

what is -1/8 - 6 7/8​

Answers

Answer:

-7

Step-by-step explanation:

I am sorry if I got it wrong.

they are right it is -7

A child gets 1 egg on their
1st birthday. They get 2 on
their 2nd, 3 on their 3rd etc.
How many years will it be
before they have received 91
eggs in total?​

Answers

Answer:91 years

Step-by-step explanation:

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