what is the Distance between (-4, -8) and (10, -8)??

Answers

Answer 1

Answer:

The distance between both points would be 14.

Step-by-step explanation:

The y coordinate or -8 stays the same for both points on a coordinate grid. However the x coordinate changes from -4 to 10, which is 14 places away on a coordinate grid. Therefore the distance between these two points is 14.

Answer 2

Answer:

14

Step-by-step explanation:

Use the distance equation:

d² = (x₂ − x₁)² + (y₂ − y₁)²

d² = (10 − -4)² + (-8 − -8)²

d² = 14² + 0²

d = 14


Related Questions

find the 9th term of the geometric sequence: 3, -6, 12, -24.....​

Answers

Answer:

768

Step-by-step explanation:

3 x (-2^8) = 768

Which equation involves a prime quadratic and cannot be solved by factoring? A. x2 + 5x − 4 = 0 B. x2 − x − 6 = 0 C. x2 + 3x − 4 = 0 D. x2 + 6x + 9 = 0 Reset

Answers

Answer:

Option A

Step-by-step explanation:

We can try to factorize all the options one by one.

For A:

[tex]x^{2} +5x-4\\=> x^{2}+4x+x-4\\=>x(x+4)+1(x-4)[/tex]

We can see that the quadratic expression cannot be solved by factorization as the factors at the end of factorization are not equal in both brackets. So Option A is the correct answer for the given question.

Moreover we can also note that all the other quadratic expressions can be factorized ..

Answer:

x2 + 5x − 4 = 0

Step-by-step explanation:

The quotient of a number and 18 is 5 find the number

Answers

Answer:

90

Step-by-step explanation:

x/18=5

x=18*5

=90

Answer:

90

Step-by-step explanation:

Quotient means division

Is means equals

Let n = number

n/18 = 5

Multiply each side by 18

n/18 * 18 = 5*18

n = 90

The number is 90

The height of a triangle is 5 m less than its base. The area of the triangle is 42 m². Find the length of the base.
7m
8 m
11 m
12 m

Answers

Answer

D, 12m

Step-by-step explanation:

Answer:

12 m

Step-by-step explanation:

Area of a triangle is:

A = ½ bh

Given that h = b - 5 and A = 42:

42 = ½ b (b - 5)

84 = b² - 5b

0 = b² - 5b - 84

0 = (b + 7) (b - 12)

b = -7, 12

The length of the base can't be negative, so b = 12 m.

what is 0.8637 rounded to the nearest hundredth​

Answers

Answer:

0.86

Step-by-step explanation:

The hundredths place is the second digit after the decimal point.  It is the 6 in this case.

Since the next digit (3) is 4 or less, the hundredths place stays the same and the rest is basically just cut off, leaving 0.86.

If the next digit (3) were 5 or more, the hundredths place would have gone up 1 (to 7) and the rest would have been cut off, giving a final result of 0.87

The decimal numeral system is the most widely used system for representing both integer and non-integer values. When 0.8637 is rounded to the nearest hundredth​ the number will be 0.86.

What is a decimal number?

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is Hindu–Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system.

A decimal number is rounded off based on its preceding number if the preceding number is greater than 5 then the number is rounded off to the next number, but if it's not, then the number is left in the same way.

Therefore, when 0.8637 is rounded to the nearest hundredth​ the number will become,

0.8637 ≈ 0.86

Hence, when 0.86 is rounded to the nearest hundredth​ the number will be 0.86.

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Given that, A = {1,2,3,4,5,7} and B = {3,4,8,9} , find
in AB
ii. The number of elements in (AUB)​

Answers

Answer:

8

Step-by-step explanation:

The union of the 2 sets are the elements in set A and B

A = { 1, 2, 3, 4, 5, 7 } and B = {3, 4, 8, 9 }

A ∪ B = { 1, 2, 3, 4, 5, 7, 8, 9 }

Note 3 and 4 are not repeated

number of elements in A ∪ B  = 8

Which of the following three dimensional figures has a circle as it’s base

Answers

Answer:

if cone is on there then it'd be cone but it may also be a cylinder

Step-by-step explanation:

i dont know the list of objects so i cant guarantee this

PLEASE HELP!!!!!!

Type the correct answer in each box.

The graph that correctly represents the inequality 2x > 50 is graph
. The graph that correctly represents the inequality x + 6 < 32 is graph

Answers

Answer:

See below,

Step-by-step explanation:

2x > 50

Dividing both sides by 2:

x > 25 which is Graph C  (because the red line is to the right of 25).

x + 6 < 32

x < 32 - 6

x < 26  which is Graph B .

Answer with explanation:

Ques 1)

The first inequality is given by:

                  [tex]2x>50[/tex]

on dividing both side of the inequality by 2 we obtain:

               [tex]x>25[/tex]

i.e. the solution set is the set of all the real values which are strictly greater than 25.

i.e. the shaded region is to the tight of 25 and there will be a open circle at 25 (Since the inequality is strict inequality )

i.e. the solution set is: (25,∞)

Hence, the graph which represents the inequality 2x>50 is: Graph C.

Ques 2)

The second inequality is given by:

             [tex]x+6<32[/tex]

on subtracting both side of the inequality by 6 we get:

                 [tex]x+6-6<32-6\\\\i.e.\\\\x+0<26\\\\i.e.\\\\x<26[/tex]

This means that the solution set is the set of all the real values which are strictly less than 26.

i.e. the shaded region is to the left of 26 and there will be a open circle at 26 ( since the inequality is strict)

i.e. the solution set is: (-∞,26)

The graph which represents the inequality x+6<32 is:  Graph B

Coach Kelly documented the number of points the Ragin' Cajun football team scored each game this season. The following histogram summarizes the data.

Based on this data. what is a reasonable estimate of the probability that the Ragin' Cajun score 30 or more points in their next football game?
CHOOSE 1 ANSWER:

A.) 5/16

B.) 3/11

C.) 3/16

D.) 5/11​

Answers

The reasonable estimate of the probability is option A.

Calculation of the probability:

We know that

Probability = Number of favorable outcomes ÷ Total no of outcomes

So,

Here the number of favorable outcomes should be

= 3 + 2

= 5

And, the total no of outcomes should be

= 2 + 4 + 5 +  3 + 2

= 16

Therefore, option A is correct.

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What is the slope of the line that has an equation of Y equals X -3

Answers

Answer:

1

Step-by-step explanation:

You gave me slope intercept form, but typically the number paired with x is the slope. Because there is no number, the slope is 1.

Answer:

m = 1

Step-by-step explanation:

y = x -3  and y = mx + b are the same thing

Since you have mx and x as the same thing, then m = 1 (for which slope is m)

Please mark for brainliest!! :D Thanks!!

If you have any questions or need more information, please comment below and I'll respond asap!!

What are the steps to solving the inequality 3b + 8 ≥ 14?


Answers

The steps to solve the inequality 3b + 8 ≥ 14 involve subtracting 8, then dividing by 3 to find b ≥ 2.

To solve the inequality 3b + 8 ≥ 14:

Subtract 8 from both sides: 3b + 8 - 8 ≥ 14 - 8, which simplifies to 3b ≥ 6.

Divide by 3 to isolate b: 3b/3 ≥ 6/3, giving you b ≥ 2.

Therefore, the solution to the inequality is b ≥ 2, indicating that b must be greater than or equal to 2.

the area of the rectangle is 55 square feet. if its width is 3 1/7 feet, find its length ​

Answers

Answer: 17.49 = L  or  17 1/2 = L

Step-by-step explanation:

a = L x W

55 = L x 3 1/7

55 ÷ 3 1/7   3 1/7 ÷ 3 1/7

17.49 = L

     or

17 1/2 = L

(pls mark me brainliest)

(theres a button that says mark brainliest on my answer)

To find the length of a rectangle with an area of 55 square feet and a width of 3 1/7 feet, you divide the area by the width after converting the mixed number to an improper fraction. Length = 55 / (22/7), which simplifies to 17.5 feet.

To find the length of the rectangle when the area is 55 square feet and the width is 3 1/7 feet, you can use the formula for the area of a rectangle, which is Area = Length × Width. You will first need to convert the width to an improper fraction, where 3 1/7 feet is 22/7 feet. Then, use the area to find the length:

Area = Length × Width

55 = Length × (22/7)

To find the Length, divide both sides by the width: Length = 55 / (22/7)

Multiply by the reciprocal of the width: Length = 55 × (7/22)

Simplify to find the Length: Length = 55/22 × 7

Length = 2.5 × 7

Length = 17.5 feet

Therefore, the length of the rectangle is 17.5 feet.

12. A point is blank
from two objects if it is the same distance from the objects. (1 point)

Answers

Answer:

Equidistant is your answer.

Step-by-step explanation:

Hope i have helped you!

Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo’s equation is missing, as shown below.

Answers

Answer:

3x

Step-by-step explanation:

-(x-1) +5 = 2(x+3) - c

C is the unknown term

Distribute the negative sign and the 2

-x+1 +5 = 2x+6 -c

Combine like terms

-x+6 = 2x +6-c

Solve for c

Add x to each side

-x+x +6 = 2x+x +6-c

6 = 3x+6 -c

Add c to each side

6+c = 3x +6 -c+c

c+6 = 3x+6

Subtract 6 from each side

c+6-6 = 3x+6-6

c = 3x

When c = 3x, the two sides of the equation are equal, and the solutions are infinite.

Answer: [tex]3x[/tex]

Step-by-step explanation:

Let be "z" the missing term:

[tex]-(x-1)+5=2(x+3)-z[/tex]

For the system to have infinite number of solutions, [tex]2(x+3)-z[/tex] must be equal to [tex]-(x-1)+5[/tex].

Now you must solve for "z". Apply Distributive property:

[tex]-x+1+5=2x+6-z[/tex]

Add the like terms on the left side:

[tex]-x+6=2x+6-z[/tex]

Now you need to subtract [tex]2x[/tex] and 6 from both sides of the equation and finally you can multiply both sides by -1. Then:

[tex]-x+6-2x-6=2x+6-z-2x-6\\\\(-1)-3x=-z(-1)\\\\z=3x[/tex]

Solve the equations. 2x+4y+3x=6
5x+8y+6z=4
4x+5y+2z=6

Answers

Answer:

  b.  (x, y, z) = (-8, 10, -6)

Step-by-step explanation:

The easiest way to do this one is to try the answers to see which works.

  2(-8) +4(10) +3(-6) = -16 +40 -18 = 6

  5(-8) +8(10) +6(-6) = -40 +80 -36 = 4

  4(-8) +5(10) +2(-6) = -32 +50 -12 = 6

The answers of choice B work in the given equations.

___

In case you don't have answers to select from, you generally solve this sort of problem using elimination. You can also use Cramer's rule, a graphing calculator, an on-line equation solving tool, or any of a variety of other methods.

Here, we can find the variable x by subtracting twice the first equation from the second:

  (5x +8y +6z) -2(2x +4y +3z) = (4) -2(6)

  x = -8

This is sufficient to identify the correct answer choice.

We can substitute this into the last two equations to get ...

  -40 +8y +6z = 4 . . . . 8y +6z = 44

  -32 +5y +2z = 6 . . . . 5y +2z = 38

Subtracting the first of these from 3 times the second gives ...

  3(5y +2z) -(8y +6z) = 3(38) -(44)

  7y = 70 . . . . . . . simplify

  y = 10 . . . . . . . . divide by 7

Substituting this into the second of the above equations, we have ...

  5(10) +2z = 38

  25 +z = 19 . . . . . . divide by 2

  z = -6 . . . . . . . . . . subtract 25

_____

The choice of the combinations to use to eliminate variables can be ad hoc (as here), or it can be made according to some rules (as in Gaussian elimination).

My personal choice for solving systems like this is to use the matrix functions of a graphing calculator.

Which function below is the inverse of f(x)=x^2-36

X^2/36
+- 6 square root of x
1/x^2-36
+- square root of x+36

Answers

Answer:

+- square root of x+36

Step-by-step explanation:

f(x) = x^2 -36

y = x^2 -36

Exchange x and y

x = y^2 -36

Solve for y

Add 36 to each side

x+36 = y^2 -36+36

x+36 = y^2

Take the square root of each side

±sqrt(x+36) = y

±sqrt(x+36) = f^-1(x)

Choose the equation and the slope of the line that passes through (5,-3) and
is perpendicular to the x-axis.

Answers

Answer:

x = 5; the slope is undefined

Step-by-step explanation:

A line perpendicular to the x-axis is a vertical line.

In a vertical line, every point has a different y-coordinate and the same x-coordinate. Since you want a line that is vertical and passes through the point (5, -3), then every point on the line must have x-coordinate 5 no matter what its y-coordinate is. The slope of a vertical line is undefined.

Answer: The equation is x = 5; the slope is undefined


A bird flies 2/3 of a mile per minute. How many miles per hour is it flying?

Answers

Answer:

40 MPH (Miles Per Hour)

Step-by-step explanation:

Well i will put it in simple terms. Put 2/3 into a decimal point, which for this fraction is 0.66666666667 (the 6 is infinite basically). Then you multiply it by 60, because you know it goes in that distance in one minute and 60 minutes makes a hour, which equals 40. So the answer is 40 MPH.

40 miles per hour.

To determine how many miles per hour a bird is flying when it covers 2/3 of a mile per minute, we can follow a simple conversion. Since there are 60 minutes in an hour, we need to multiply 2/3 by 60.

Let's do the calculation:

(2/3 mile/minute) times 60 minutes/hour = 40 miles/hour

This means that when a bird flies 2/3 of a mile per minute, it is equivalent to flying at a speed of 40 miles per hour.

Jireh flew his crop duster from the ground to an altitude of 3,500 feet. He continued to fly at that height for 20 minutes until he descended to 2,000 feet. He then flew back to the ground and landed his plane.

Which part of the scenario would be best represented by a linear increasing interval?

Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Jireh flew at 3,500 feet for 20 minutes.
Jireh descended to 2,000 feet.
Jireh landed his plane.

Answers

Increasing means the plane was rising.

The linear increasing interval would be:

Jireh flew his crop duster from the ground to an altitude of 3,500 feet.

50 points? please with explanation​

Answers

Answer:

False

Step-by-step explanation:

The area is found by multiply length with width.

6 & 1 works (interchangeable with either length or width), because:

6 x 1 = 6

Therefore, False is your answer.

~

Answer:

correct answer is false

hope this helps :)

what is the measure JL?
help me pls !!!!!!!!!!!!​

Answers

I would think 168

Because 84×2= 168

The measure of an arc is twice the measure of the angle that intercepted it.

The difference of twice a number and five is three. Find the number.
Translate the word problem to an equation. Which steps describe how to solve the equation?
What’s the answer

Answers

let x = a number

difference means that its subtraction

twice a number is 2x

so the equation should be

2x-5=3

add 5 to both sides

2x=8

divide both sides by 2

x=4

Multiply each equation by a number that produces opposite
coefficients for x or y.
4x + 5y = 7
3x-2y=-12

Answers

Answer:

Step-by-step explanation:

We could multiply the first equation by -3 and, separately, multiply the second equation by 4.  The result would be:

-12x - 15y = -21

12x  - 8y = -48

the x terms now cancel.  The result is:

- 15y = -21

- 8y = -48

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

-23y = -69, or y = 3.  If y = 3, then 3x - 2y = -12 becomes:

3x - 2(3) = -12, or

3x - 6 = -12, or    3x = -6, and so x = -2.

The solution is (-2, 3).

Answer:

In the slot for 4x + 5y = 7 is -3. Which makes -21.

In the slot for 3x-2y=-12 is 4. Which makes -48.

Step-by-step explanation:

When you add the -21 and -48 you get -69.

The solution is (-2, 3)

Hope this helped : )

If it did, please remember to like and give stars?

Which one should I choose?

Answers

Answer:

A

Step-by-step explanation:

The answer is A as the height starts at 36 and decreases by 9 inches vertically every 12 inches it goes down horizontally.

If you turn this into an equation, you get y = -(9/12)x+36.

Then, you simplify this to y = -(3/4)x+36, which is A.

The function that models the height y railing in inches according to the horizontal distance in inches x, from the top of the stairs is [tex]y = -\frac{3}{4} x \ + \ 36[/tex]. (Option A).

How to calculate the equation for the stairs?

The function that models the height y railing in inches according to the horizontal distance in inches x, from the top of the stairs is calculated as follows;

The general equation of a line;

y = mx + c

where;

m is the slope of the functionc is the y - intercept

If the stairs decreases by 9 inches vertically every 12 inches it goes down horizontally, then the slope becomes;

m = (0 - 9)/(12 - 0)

m = - 3/4

The y - intercept becomes the initial vertical height = 36

The equation that models the problem becomes;

[tex]y = -\frac{3}{4} x \ + \ 36[/tex]

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9-6a - 24a2
Factor completely

Answers

-3(4a+3)(2a-1) is the answer I believe

See the image attached for all information needed.

Answers

Answer:

12.54 square miles

Step-by-step explanation:

Area of Parallelogram = Base x Height

In this case, Base = 3.3 mi and Height = 3.8 mi

Hence,

Area = 3.3 x 3.8 = 12.54 square miles

The answer is 12.54 miles2

If f(x) = x + 4 and g(x) = x2-1, what is (gºf)(x)?

Answers

Answer:

[tex](x+4)^2-1[/tex]

Step-by-step explanation:

We need to evaluate gOf. This basically means that we substitute the value of f(x) (i.e.; x+4) into g(x) in place of x.

[tex]g(x)=x^2-1\\f(x)=x+4\\\therefore gof(x) = g(f(x))=g(x+4)=(x+4)^2-1[/tex]

Jenny biked 3 miles less than twice the number of miles Marcus biked. Jenny biked a total of 4 miles. Write an equation to determine how many miles Marcus biked. A.3 + 2x = 4 B.4 = 2x − 3 C.x − 4 = 2(3) D.x over four = 2(3)

Answers

Answer:

Option (B) 4 = 2x - 3

Step-by-step explanation:

Let distance travel by Marcus be "x" miles

Then, according to question

Distanced travelled by Jenney will be

twice of "x" minus 3.

Distance travelled by Jenny = 2x - 3.

Also, it is given that Jenny has travelled 4 miles.

then, 4 = 2x - 3. So, here option (B) is the correct option.

Answer:

B

Step-by-step explanation:

A parallelogram has two side lengths of 5 units. Three of its sides have equations y = 0, y = 2, y = 2x. Find the equation of the fourth side.

Answers

Answer:

2

Step-by-step explanation:

The equation of the fourth side of the considered parallelogram is y = 2x + 10

How are parallel straight lines related?

Parallel lines have same slope, since slope is like measure of steepness and since parallel lines are of same steepness, thus, are of same slope.

Since given parallel line has equation [tex]y = 2x + 2[/tex], thus its slope is 2 and thus, the slope of the needed line is 2 too.

How to get the slope intercept form of a straight line equation?

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx + c

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

A parallelogram is a four sided polygon, whose opposite sides are parallel to each other.

The slopes of y = 0 and y = 2 is same. (being 0)

Therefore the fourth side would've same slope as that of y = 2x.

The slope of y = 2x is 2 (the coefficient of x)

Thus, the equation of fourth side would be:

y = 2x + c for some real number c

Let we find the coordinates of four vertices. These are intersections of the equations of the adjacent sides.

Intersection of y = 0:

Case 1: with y = 2x:

Putting y = 0 gives 0 = 2x, or x = 0

Thus, the intersection is on (0,0)

Case 2: with y = 2x + c:

Putting y = 0 gives 0 = 2x + c, or x = -c/2

Thus, the intersection is on (-c/2, 0)

Intersection of y = 2:

Case 1: with y = 2x:

Putting y = 2 gives 2 = 2x, or x = 1
Thus, the intersection is on (1,2)

Case 2: with y = 2x + c:

Putting y = 2 gives 2 = 2x + c, or x = (2-c)/2

Thus, the intersection is on ((2-c)/2, 2)

Thus, the four vertices' coordinates are:

(0,0), (1,2), (-c/2, 0), and ( (2-c)/2, 0)

Let we name these points, as:

A(0,0), B(-c/2, 0),  C( (2-c)/2, 2) and D(1,2),

AB is line y = 0 (known from the y-coordinates of A and B)

Similarly, CD is line y = 2 (known from the y-coordinates of C and D)

AD and BC are parallel. (these are going to be other pair of parallel sides).

The length of AD is:

[tex]\sqrt{(1-0)^2 + (2-0)^2} = \sqrt{5} \: \rm units[/tex]

A parallelogram has its parallel sides of equal length.

Thus, length of BC is of √5 units too.

Since this parallelogram has two side lengths of 5 units, adn as AD and BC are not those sides, so we must have:

|AB| = |CD| = 5 units.

Length of AB is:

[tex]|AB| = \sqrt{(-c/2 - 0)^2 + (0 - 0)^2 } = c/2 = 5\\c = 10[/tex]

Thus, the equation of the fourth line is:

[tex]y = 2x + 10[/tex]

The graph of the considered parallelogram is given below.

Thus, the equation of the fourth side of the considered parallelogram is y = 2x + 10

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If f(x) = x 2 + 5, find f(-9).

-22
32
11
248

Answers

Answer:

86

Step-by-step explanation:

To evaluate f(- 9) substitute x = - 9 into f(x)

f(- 9) = (- 9)² + 5 = 81 + 5 = 86

The correct answer is not listed in the provided options. f(-9) is found by substituting -9 into the function f(x) = x² + 5, giving us (-9)² + 5, which results in 86. The provided options do not include the correct answer, suggesting there may be a mistake.

To find f(-9) when f(x) = x² + 5, we simply substitute -9 for x in the function and calculate the result.

Step-by-Step Solution:

Replace every x in the function with -9: f(-9) = (-9)² + 5.

Calculate the square of -9: (-9)² = 81.

Add 5 to the result: 81 + 5 = 86.

Thus, f(-9) = 86.

The correct answer is not listed in the provided options, so there might be a typo in the original function or the options given.

Other Questions
All of the following are examples of service-learning opportunities except:A. donating time to help senior citizen war veterans and writing a report about the experience for your U.S. history class. B. getting a part-time job at a habitat restoration center. C. reading to second-grade students as part of your assigned reading time for your English class. D. planting trees in your community and then discussing globalwarming in your science class. A color printer prints 10 pages in 6 minutes.How many minutes does it take per page? What is the most likely meaning of the word "ere"? What is the equation of the graphed line written in standard form? 2x + 3y = 6 2x + 3y = 6 A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If she stakes the rope to the ground 6 feet from the middle of her tent, about how long is the rope from the ground to the tent? Which is a function of nucleic acids An electric car accelerates for 8.0 s by drawing energy from its 320-V battery pack. During this time, 1300 C worth of electrons pass through the battery pack. (a) How many electrons are moved through the battery during this 8.0 s acceleration time? (b) How much energy transfer does this constitute? (c) Find the minimum horsepower rating of the car.(746 W = 1 hp) Which of the following is an accurate description of the recent political history of the Democratic Republic of the Congo?a.Religious tensions have escalated into full-scale civil war a number of times since the Belgians left the country in 1960.b.The political leader who gained power after the overthrow of a corrupt dictator was assassinated.c.The military leadership felt the country was stable enough, so they permitted democratic elections to take place.d.In 1990, a dictator seized and has held power ever since. What literary device does Gwendolen use when she says, "I think there must be some slight error?punparadoxunderstatementepigram Which graph shows the solution to the inequality -3x-7 Compared with the freezing-point depression of a 0.01 m c6h12o6 solution, the freezing-point depression of a 0.01 m nacl solution is The annual growth of Kyle's butterfly collection is represented by the table. What does the 5 represent?x024f(x)52080 A. The number of new butterflies each year B. The common ratio of butterfly growth C. The average rate of change of butterfly growth each year D. The number of butterflies Kyle started with Which is an equation for the nth term of the sequence?12, 15, 18, 21, ... Question 1 options:a) = 12n + 3b) = 3n + 9c) = n + 3d) = 9n + 3 which best describes how to add 9.73 and 21.6?A. align the digits on the left digit.add from left to right, regrouping as necessary.B. Align the digits on the right digit.add from right to left, regrouping as necessary.C. align the digits on the decimal point.add from left to right, regrouping as necessary.D. align the digits on the decimal point.add from right to left, regrouping as necessary. Why are infections more common with compound fractures than with simple fractures? If Henry goes to the library he reads a book if Henry reads a Book he becomes smarter if any becomes smarter he becomes happier if Henry becomes happy you do you world is a better place What is the area of a circle with a diameter of 16.2 inches?3.14 for pi Each croquet ball in a set has a mass of 0.52 kg. The green ball, traveling at 11.3 m/s, strikes the blue ball, which is at rest. Assuming that the balls slide on a frictionless surface and all collisions are head-on, find the final speed of the blue ball in each of the following situations: a) The green ball stops moving after it strikes the blue ball. Answer in units of m/s. Grace period is a period of time before the credit card company starts charging late fees.TrueFalse Which statement best applies the behaviorist theory to explain the association between age and DMQ scores? Compared to younger participants, older participants: A.have had more experiences in which they have been punished for risky behaviors. B.are less prone to the effects of peer pressure. C.have a more mature prefrontal cortex that inhibits impulsive behavior. D.have a more developed superego that inhibits the impulses of the id.