The difference between the areas of the figures is less than 4.

An absolute value inequality that represents this situation is ___

The solution of the inequality is ___

Thank you!!!!!!!!

The Difference Between The Areas Of The Figures Is Less Than 4.An Absolute Value Inequality That Represents

Answers

Answer 1

Answer:

We know that:

If T = area of the triangle

and R = area of the rectangle:

I T - RI < 4.

Now, we know that:

T = 8*6/2 = 8*3 = 24

R = 4*(x - 4) = 4*x - 16

Then replacing those values, we can write:

I24 - (4*x - 16)I < 4

I40 - 4*xI < 4

Now let's solve it:

First we aim for the first value that is not a solutions, this is when:

I40 - 4*xI = 4

we can write this as:

40 - 4*x = +-4

The first extreme is:

40 - 4*x = +4

x = (40 - 4)/4 = 9

The other extreme is:

40 - 4*x = -4

x = (40 + 4)/4 = 11.

Then the set of solutions is: S = (9, 11)


Related Questions

You have discovered another alien. Find the correct rescue path before answering this question. When the spaceship starts from a point on the y axis, what is the y-intercept of the line of travel? the x-coordinate of the spaceship the y-coordinate of the spaceship the y-coordinate of the alien the distance from the spaceship to the alien

Answers

Answer:

the y-coordinate of the spaceship

Step-by-step explanation:

It's what it said on edge

Answer

b

Step-by-step explanation:

3 questions on percentage ❤️

Answers

Answer:

Question 1: 131.25 Question 2: 83.33 Question 3. 133.33

Step-by-step explanation:

1. 131.25% x 150

2. Trial and error

3. 60 ÷ 45%

Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard?

Answers

Answer:

It is 60%

Step-by-step explanation:

84.50 x 0.60% = 50.7 (also 50.70)

I hope my answer helps even though I am in middle school :)

The required percent decrease in the price of the skateboard is 40%.

The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard is to be determined.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Original price = $84.50
sale price = $50.70
Percent decrese = 84.50-50.70/84.50 × 100 = 40%

Thus, the required percent decrease in the price of the skateboard is 40%.

Learn more about percentages here:

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Amanda has completed 68 deliveries so far this week. She needs to make 85 deliveries for the week. What percentage of her deliveries has Amanda completed?
0

Answers

She has completed 80%

(x-y)(x-y+1)² -2(x-y)(x-y+1)+x-y
help ASAP pleasee!!

Answers

Step-by-step explanation:

If u are looking for factorization this is the way

(x-y)(x-y+1)² -2(x-y)(x-y+1)+(x-y)=

(x-y)[(x-y+1)^2-2(x-y+1)+1]=

(x-y)[(x-y+1)^2-2(x-y+1)+1^2]=

(x-y)[(x-y+1)-1]^2=(x-y)(x-y+1-1)^2

(x-y)(x-y)^2=

(x-y)^3

Which of the following is the equation of the line that is parallel to
y= 3/5x+ 8 and goes through point (-10,4)?
Select one:
a. y = 5/3x + 20 2/3
b. y=-5/3x – 12 2/3
c.y= 3/5x + 10
d. y = -3/5x-2

Answers

Answer:

C

Step-by-step explanation:

We want to write the equation of a line that is parallel to:

[tex]y=\frac{3}{5}x+8[/tex]

And also passes through (-10, 4).

Remember that parallel lines have the same slope.

The slope of our old line is 3/5.

Therefore, the slope of our new line is also 3/5.

We know that it passes through (-10, 4). So, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute 3/5 for m and let (-10, 4) be our (x₁, y₁). This yields:

[tex]y-(4)=\frac{3}{5}(x-(-10))[/tex]

Simplify:

[tex]y-(4)=\frac{3}{5}(x+10)[/tex]

Distribute on the right:

[tex]y-4=\frac{3}{5}x+6[/tex]

Add 4 to both sides:

[tex]y=\frac{3}{5}x+10[/tex]

So, our answer is C.

And we're done!

Step-by-step explanation:

Hey there!

The equation of a st.line passing through point (-10,4) is ;

(y-y1)= m1(x-x1) [one point formula]

Put all values.

(y - 4) = m1( x + 10)..........(i)

Another equation is; y = 3/5 + 8.............(ii)

From equation (ii)

Slope (m2) = 3/5 [ By comparing equation with y = mx+c].

As per the condition of parallel lines,

Slope of equation (i) = slope of equation (ii)

(i.e m1 = m2 )

Therefore, the value of m1 is 3/5.

Putting value of slope in equation (i).

[tex](y - 4) = \frac{3}{5} (x + 10)[/tex]

[tex](y - 4) = \frac{3}{5} x + \frac{3}{5} \times 10[/tex]

[tex](y - 4) = \frac{3}{5} x + 6[/tex]

[tex]y = \frac{3}{5} x + 10[/tex]

Therefore the required equation is y = 3/5x + 10.

Hope it helps...

Find the measure of the third angle of a triangle given the measures of two angles.
34 and 88

Answers

Answer:

58

Step-by-step explanation:

All three angles of a triangle have to add up to 180. Given this we can do the following problem:

180-34-88 = 58

what letter grade is a 38/49

Answers

Answer:77%

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because if you multiply 38/49, it would be 76/98. and 76 is a letter c, but if i am wrong its b.

Round 733,712 to the nearest thousand
733,712 ~

Answers

Answer:

734,000

Step-by-step explanation:

The thousands digit is the fourth digit from the right (1000) so we start by underlining that digit.

733,712

Look at the digit to the right of the underlined digit. If the number is 5 or more, add one to the underlined digit. Since 7 is 5 or more, we add one to the underlined digit.

All of the digits behind the underlined digits turn to zeros to hold the place values.

734,000

44 plus 48 distributive property

Answers

Answer:

92

Step-by-step explanation:

44 plus 48 can be rewritten as:

4(11 + 12), which, in turn, simplifies to:

4(23), or 92

Next time, please include all of the instructions.  Thank you.

What is five times the difference of a number and three?

Btw I need answer immediately

Answers

Answer:

t=x+3

y = (x+3)^2 + 5

y = x^2+6x + 9 + 5

y= x^2 + 6x + 14

Answer:

5 times x-3?

Step-by-step explanation:

Sorry if its wrong i didn't really understand what you wanted.

Raul and Ivan each make a number pattern, as described.
• Raul's pattern: start with 15, add 2
• Ivan's pattern: start with 11, add 3
What number in Raul's pattern and in Ivan's pattern is the same in a pair of corresponding terms?
(A) 17
(b) 21
(C) 23
(D) 26
23
26

Answers

Answer:

Option C. 23

Step-by-step explanation:

To know the correct answer to the question given above, let us determine the sequence of Raul and Ivan. This is illustrated below:

From the question given above,

Raul's pattern: start with 15, add 2

Ivan's pattern: start with 11, add 3

For Raul:

Raul's pattern: start with 15, add 2

1st term = 15

2nd term = 15 + 2 = 17

3rd term = 17 + 2 = 19

4th term = 19 + 2 = 21

5th term = 21 + 2 = 23

6th term = 23 + 2 = 25

For Ivan:

Ivan's pattern: start with 11, add 3

1st term = 11

2nd term = 11 + 3 = 14

3rd term = 14 + 3 = 17

4th term = 17 + 3 = 20

5th term = 20 + 3 = 23

6th term = 23 + 3 = 26

Summary

Term >>>>> Raul >>>>>> Ivan

1 >>>>>>>>> 15 >>>>>>>> 11

2 >>>>>>>>> 17 >>>>>>>> 14

3 >>>>>>>>> 19 >>>>>>>> 17

4 >>>>>>>>> 21 >>>>>>>> 20

5 >>>>>>>>> 23 >>>>>>>> 23

6 >>>>>>>>> 25 >>>>>>>> 26

From the calculations made above, we can see that in the 5th term, both Raul and Ivan has the same number as 23.

What is the equation of the line graphed below?

Answers

show the lined graph

Devin has 39 toy blocks. What is the value of the digit 9 in the number

Answers

Answer:

The value of the digit 9 is in the ones place.

Step-by-step explanation:

1     Hundreds

1     Tens

1     Ones        <----------------

.     Decimal point

1     Tenths

1     Hundredths

1     Thousandths

Do you like a newspaper has letters to the editor for 60 people. If it’s number represents 5% of all the newspaper readers how many readers of the newspaper have

Answers

Answer:

5÷100

=0.05

0.05×60

=3

Answer:

1200 readers

Step-by-step explanation:

Let x = number of readers

x* 5% = 60

Change to decimal form

x* .05 = 60

Divide each side by .05

x * .05/.05 = 60/.05

x =1200

Which lists all the multiples of 8 that are less than 50?

A. 2, 4, 8
B. 4, 8, 12, 16, 24, 32, 40, 48
C. 8, 16, 24, 32, 40, 48
D. 8, 16, 24, 32, 40, 48, 56

Answers

Answer:

Its the third one 8, 16, 24, 32, 40, 48

Step-by-step explanation:

They all are multiples of 8 and are not more than 50

<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2

Answers

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1)  + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2  = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

plz help help help help help

Answers

Answer:

23(14) +23(33)

Step-by-step explanation:

23(14+33)

Distributive Property

I just need to know what's Nine sixty-eight thousand one hundred twenty-three
is in numbers bc

idk my brain is kind of jumbled rn​

Answers

i think it is 968,023 but hope it helps if it is right!

Find the common difference of the arithmetic sequence 4,2,0,...

Answers

Answer:

d=-2 is the difference

The common difference is -2. Don’t forget to put the negative sign when the sequence is descending.

6th grade math i mark as brainly​

Answers

Step-by-step explanation:

i mean I never did that in six grade

The opposite of negative 50

6200 divided by 163 i need the answer or ill fail

Answers

Answer:

38.04

Step-by-step explanation:

6200/163= 38.036809816

Since after the 3 is a 6 which is over 5 you can round the 3 up to a 4 and cut everything else off.

Hope this helps. Plz give brainliest.

6200 divided by 163 is equal to 38 with a remainder of 6.

We have,

The concept used to divide 6200 by 163 is a long division.

Long division is a method of dividing two numbers by repeatedly subtracting multiples of the divisor from the dividend until the remainder becomes smaller than the divisor.

It involves dividing digit by digit, starting from the leftmost digits of the dividend and moving towards the right.

Now,

To divide 6200 by 163, we perform a long division.

Here's how it works:

       38

  __________

163| 6200

      4890

      ______

      1310

      1304

      ______

         6

The quotient is 38, and the remainder is 6.

Therefore,

6200 divided by 163 is equal to 38 with a remainder of 6.

Learn more about expressions here:

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What is 1 over 4 multiplied by 7 over 2

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

1/4 x 7/2

First, let's convert each fraction into percentages.

1/4= 25%

7/2= 350%

Now just multiply them together.

25x350= 8750

Convert it back into a fraction.

8750% = 175/2 = 871/2 as a fraction.

Hope this helps!

A local road rises 15 feet for every 309 feet of highway . What is the slope of the highway

Answers

The slope is =0.0485

The total amount of money that he had deposited into his account at the end of March is .

Answers

Tenía casi todo el dinero que tenía depositado en mi cuenta de banco

Can someone explain how to solve these? I have 10 questions I need to answer for problems like this & I can't go on until I solve it, so I just need the answer for this one and how to solve it. I need it finished fast because I need to bring up a low grade. Any help would be appreciated.

Answers

the value of x is 32°. i believe they’re called internal inverses? it’s because lines m and n are parallel. i’m not sure how else to explain, hope this helped!

I need help, how do I do this?

Answers

The answer is 128 because 4·4·4+8·8=128

Write the expanded form of the expression.
y(0.75+4)​

Answers

Answer:

25

Step-by-step explanation:

Answer:4.75y

Step-by-step explanation:

Most universities and colleges require an SAT score as one of the inputs to an admissions decision. Is it a good predictor of college success? Total SAT scores for 10 students are given, along with their college GPAs.

Answers

It is a good thing for some to have SAT score requirements in advance to see the progress they have made in school. On the other hand some students tend to get nervous on taking serious test like these so the outcome could be pretty bad and affecting their scores. Yes students could retake the test but some are unable to afford to retake it so that would be a major problem as well. In all SAT score requirements could be for good or turn out to be the worst for students.

Find g(6) when g(x) = x2-5

Answers

Answer:

g(6) = 31

Step-by-step explanation:

If g(x) = x^2 - 5, that means to solve for g(6) you just have to replace the x in the equation with 6.

g(6) = 6^2 - 5

g(6) = 36 - 5

g(6) = 31

Answer:

g(6)=31

Explanation:

We are given the function:
g(x)=x^2-5
We want to find g(6), therefore we should substitute 6 in for each x in the function.
g(6)=(6)^2-5
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Evaluate the exponent. 6^2 is equal to 6*6 which is equal to 36.
g(6)=36-5
Subtract 5 from 36.
g(6)=31

g(6) is equal to 31 for the function g(x)=x^2-5
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