19. Write the perimeter of the rectangle as a
simplified expression.
x - 3
7x + 1

Answer:

[tex]y=x+4[/tex]

Step-by-step explanation:

Two parallel lines will have the same slope:

[tex]y=mx+b[/tex]

This is the y-intercept equation, where m is the slope and b is the y-intercept:

[tex]y=x+3[/tex]

The slope is x, or 1x, so the parallel line is also x.

Find the y-intercept:

You do this by taking the equation given and solving for y:

[tex]2x+3y=12[/tex]

Isolate the variable y. Subtract 2x from both sides:

[tex]2x-2x+3y=12-2x\\\\3y=12-2x[/tex]

Isolate y by dividing both sides by 3:

[tex]\frac{3y}{3}=\frac{12}{3}-\frac{2x}{3} \\\\y=4-\frac{2}{3}x[/tex]

Rearrange in slope-intercept form:

[tex]y=-\frac{2}{3}x+ 4[/tex]

The y-intercept of this equation is 4.

Now make the equation using the given information:

[tex]y=x+4[/tex]

:Done

The absolute value is the distance the number is from zero. For example, the absolute value of -4 is 4 and the absolute value of 4 is 4. Also |-24| is 24.

The absolute value of -9 is 9. 2 times 9 is 18.

The absolute value of -4 is 4. 4 times 4 is 16.

The absolute value of 1 is 1. 1 times 1 is 1.

The absolute value of 1 is 11. 11 times 11 is 121.

The absolute value of -2 is 2. 9 times 2 is 18.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The opposite of a number is the difference it is from zero but on the other side (opposite sign). For example, the opposite of -5 is 5, and the opposite of 2 is -2.

11 is opposite of -11.

-8 is opposite of 8.

31 is opposite of -31.

-1 is opposite of 1.

-17 is opposite of 17.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

♡ Hope this helped! ♡

❀ 0ranges ❀

Question 7

---------------------

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

================================================

Question 8

------------------------------

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

Answer:

C. 46, D. 32

Step-by-step explanation:

Each term is obtained by adding 4 to a multiple of 7.

Subtract 4 from each choice:

A. 32

B. 20

C. 42

D. 28

Only 42 and 28 are multiples of 7, so the answer is:

C. 46, D. 32

Answer: OPTION C AND D

Step-by-step explanation:

Plug all the numbers given into the expression of sequence in order to find out which number fits in the sequence.

A. 36

an=7n+4

36=7n+4

32=7n

n=32/7

INCORRECT. It is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)

B. 24

an=7n+4

24=7n+4

20=7n

n=20/7

INCORRECT. Same as the reason above, it is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)

C. 46

an=7n+4

46=7n+4

42=7n

n=6

CORRECT. It is a integer.

D. 32

an=7n+4

32=7n+4

28=7n

n=4

CORRECT. It is a integer.

Hope this helps!! :)

Please let me know if you have any question

Answer:

no solutions

Step-by-step explanation:

3(-n+4)+5n=2n

Distribute

-3n +12 +5n = 2n

2n+12 = 2n

Subtract 2n from each side

12 = 0

This is never true so there are no solutions

Answer:

B. No Solution

Step-by-step explanation:

First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).

[tex]-3n + 12 + 5n = 2n[/tex]

Next, you collect the like terms, in this case, the like terms are -3n and 5n.

[tex]2n + 12 = 2n[/tex]

Finally, you will cancel equal terms on both sides of the equation (which is the 2n).

[tex]12 = 0[/tex]

This makes the statement false for any value of n. Meaning that your answer is B, no solution.

Answer:

[tex]\huge\boxed{Option \ D:f(g(x)) = (x-7)^3}[/tex]

Step-by-step explanation:

[tex]f(x) = x -1\\g(x) = x^3[/tex]

We've to find [tex]f(g(x))[/tex]

Which will be [tex]f(x-7)[/tex]

Putting x in f(x) as x-7

So,

[tex]f(g(x)) = (x-7)^3[/tex]

Answer:

[tex]x = -8[/tex]

Step-by-step explanation:

We can solve for x by isolating it on one side of the equation.

If we're given the equation [tex]3x + 5 - x = x-3[/tex], we can simplify it down.

First let's combine like terms on the left side.

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

Now subtract x from both sides:

[tex]x + 5 = -3[/tex]

Subtract 5 from both sides:

[tex]x = -8[/tex]

Hope this helped!

Answer:

-8

Step-by-step explanation:

Simplify to 2x + 5 = X - 3

Subtract and you end up with x = -3 - 5

Perimeter = a + b + c = 30

Area = 1/2 x a x b = 30

Multiples of 30: 2, 3, 5, 6, 10, 12, 15

For perimeter c = 30- (a+b)

C= sqrt( a^2 + b^2)

Using the possible combinations of the above:

5 and 12:

C = sqrt(5^2 + 12^2) = 13

5 + 12 + 13 = 30 for the perimeter

Area = 1/2 x 5 x 12 = 30

The sides are 5, 12 and 13 cm

Answer:

12 cm, 5 cm,  13 cm

Step-by-step explanation:

Sides of triangle:

Perimeter:

Area:

As per Pythagorean theorem, side c= √(a²+b²):

Considering ab = 60

Again using ab= 60 to find out sides:

Solving the quadratic equation, its positive root is:

Then we get the rest:

Answer:

Hey there!

1 4/9x+y=2

13x+9y=18

Let me know if this helps :)

The Answer is B.

because

1 4/9x+y=2

13x+9y=18

Hope this helps!

Answer:

She subtracted the GCF from the second term in the expression instead of dividing.

Step-by-step explanation:

Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:

32ab = (2×2×2)×2×2×a×(b)

8b = (2×2×2×b)

From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b

Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;

= 32ab - 8b

= 8b(32ab/8b - 8b/8b)

= 8b(4a-1)

Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.

Answer:b

Step-by-step explanation:

Answer:

576

Step-by-step explanation:

a²b²c² = 2² * 3² * 4² = 4 * 9 * 16 = 576

Step-by-step explanation:

Hey, there!!

Let's look in your question,

Firstly Mr.Ingerson was in Ghana and bought it in 35000 cedi for a djembedrum.

At that time 1 US dollar= 7000 Cedi.

He paid 35000 cedi.

Us dollar for 35000 cedi = 35000/7000 $.

So, he had bought it in $5.

now,

At present,

The value of 1$ is 5.79 cedi.

As he bought it on same value,

5$ is equal to 5.79×5

= 28.95 cedi.

{ here, as it told that it was bought in same value its value is $5 only but, as the value of $ will be changed into 5.79}.

Hope it helps...

the answer is 235 cubic meters

Answer:

V = 240 m^3

Step-by-step explanation:

The volume of a triangular prism is

V = Bh  where B is the area of the base and h is the height

B = the area of the triangular base

B = 1/2 bh

B = 1/2 *5*12

B = 30 m^2

The volume is

V = 30 * 8

V = 240 m^3

Answer:

Step-by-step explanation:

What we know

total sum of angles = 540 deg

3/2 b cam also be written as 1.5b degrees.

So 1.5b + (b+45) + (2b - 90) +90 = 540

Step 1 -- get rid of parenthesis

         1.5b + b + 45 +2b -90 +90 =540

Step 2 -- combine the like expressions

         4.5b + 45 = 540

Step 3 -- subtract 45 from both the sides

         4.5b = 495

Step 4 -- divide 4.5 from both the sides

         b = 110  ----- not the right answer

Thats not right okay im sorry

but i guess if it is not 110 it should be 100, 90 etc.

90 = b is correct

Answer:

Ray DE and Ray AE

Step-by-step explanation:

Ray AE and ray CE are the required pair of opposite rays. Option A is correct.

Given that,
A figure has shown, Four rays have been emerging out from a single point E. It is to be determined that which pair of rays are pair of opposite rays.

What is a Line?

A line can be defined by the shortest distance between two points is called a line.

Here, as shown in the figure,
Four trays are emerging out from point E namely, AE, BE, CE, and DE. Rays AE and CE or Ray DE and BE both are pairs of opposite rays

Thus, ray AE and ray CE are the required pair of opposite rays. Option A is correct.

Learn more about lines here:

brainly.com/question/2696693

#SPJ2

Answer: show your work and give a clear and understanding explination use a caculator and ask for extra credit work and extra help

Step-by-step explanation:

* make sure to give a word for word explinations and make sure your answer is clear and understanding. If you arent sure wether your answer is correct or not ask for extra credit work and show your work. Try using a caulator

Answer:

1. x+(5+7)

2.x+ (8-2)

3. (x+8)

4. x-8

5. 8-x

6. 5-n

7.x+x

8. x+ (8-2)

9. n+5

10. n-5

Step-by-step explanation:

Answer:

a :)

Step-by-step explanation:

Step-by-step explanation:

5/12, 2/9, 1/6, 1/2 thats the answer

Answer:

2/9=0.22

1÷3=0.33

5÷12=0.41

1÷6=0.16

Step-by-step explanation:

5/12

1/3

2/9

1/6

Step-by-step explanation:

2+19=7x

21=7x

21÷7=7x÷7

3=x

..

Answer: 5.044 0z is not pineapple juice

Step-by-step explanation:

total amount of mixed fruit juice: 6.45 oz (oz stands for ounce)

pineapple juice: 1.406 oz

total - pineapple juice=not pineapple juice

6.45 - 1.406=5.044 oz

Hope this helps!! :)

Please let me know if you have any questions

the number that can exactly 19 is 38

Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are  [tex]x^{2} ,(x+1)^{2} ,(x+2)^{2}[/tex]

Sum = 77

∴by the problem ,

[tex]x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\[/tex]

{Taking 3 common }

[tex]x^{2} +2x- 24 = 0\\[/tex]

{By factorization}

[tex]x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\[/tex]

Therfore,

[tex]x= -6,4\\[/tex]

X can't be negetive

∴ [tex]x =4\\x+1=5\\x+2=6[/tex]

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

Step-by-step explanation:

1. 3( x - 5 ) + 2x - 3

= 3x - 15 + 2x - 3

= 5x - 18

2. 4a - 3 ( 4 - a )

= 4a - 12 + a

= 5a - 12

3. -2 ( b - 6 ) + 2

= -2b + 12 + 2

= -2b + 14

= 14 - 2b

4. 6 - 3 ( 3 + x )

= 6 - 9 - 3x

= -3 - 3x

Answer:

State A had approximately 1,533 more earthquakes than  State B.

Step-by-step explanation:

Earthquake: The term "earthquake" is determined as the surface shaking of the uppermost layer of the earth that often results from the absurd release of specific energy in the "earth's lithosphere" that tends to create "seismic waves". However, the intensity of the earthquake varies time to time and the weak tremor is rarely being noticed as compared to the higher ones.

Answer:

C

Step-by-step explanation: i took the test and got a 100%

Answer:

Step-by-step explanation:

To convert the value 1,000,000 to an exponential form means we are to write the value in multiples of 10.  Breaking down the values in multiples of 10 will give;

1,000,000 = 10 * 10 * 10 * 10 * 10 * 10 (it is broken down into 6 places because the value contains 6 zeros)

Express in exponential form

1,000,000 = (10 * 10 * 10) * (10 * 10 * 10)

1,000,000 = (10³) * (10³)

1,000,000 = 10³⁺³

1,000,000 = 10⁶

Hence the value 1,000,000 in exponential form is expressed as 1 * 10⁶

For 10 * 10:

10 * 10 = 10¹ * 10¹

10 * 10 = 10¹⁺¹

10 * 10 = 10²

10 * 10 = 1 * 10²

The value of the expression 10*10 in exponential form is 1 * 10²

For 10,000 * 10:

10,000 * 10 = (10*10*10*10) * 10

10,000 * 10 = (10⁴) * 10¹

10,000 * 10 = 10⁴⁺¹

10,000 * 10 = 1 * 10⁵

Hence, The value of the expression 10000*10 in exponential form is 1 * 10⁵

Answer:

x = 5.25

Step-by-step explanation:

subtract 7/10 from both sides of the equation

-8/9x +7/10 - 7/10 = -119/30-7/10

-8/9x = -119-21/30

-8/9x = -140/30

the negative signs cancels out and the right hand side reduced to the lowest tern

8/9x = 14/3

multiply both sides by the reciprocal of 8/9 which is 9/8

9/8 * 8/9x = 14/3 * 9/8

x = 21/4

x = 5.25

Answer:

The correct answer is:

the amount of difference expected just by chance (b)

Step-by-step explanation:

Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:

standard error = (mean deviation) ÷ √(sample size).

standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.

Answer:

  take your pick. Each has its own reason.

Step-by-step explanation:

As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.

__

I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.