A square has a perimeter of 296 millimeters. What is the length of each side?

Answers

Answer 1

Answer:

74mm

Step-by-step explanation:

296 divided by 4 sides is 74 mm each side


Related Questions

Which expression represents the number rewritten in a+ bi form?

Answers

[tex]\bf \textit{recalling that }~\hfill i^4=1~\hfill i^3=-i~\hfill i^2=-1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 5i^4+2i^3+8i^2+\sqrt{-4}\implies 5(1)+2(-i)+8(-1)+\sqrt{-1\cdot 4} \\\\\\ 5-2i-8+\sqrt{-1}\cdot \sqrt{2^2}\implies -2i-3+i\cdot 2\implies ~~\begin{matrix} -2i \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-3~~\begin{matrix} +2i \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -3+0i~\hfill[/tex]

HELP ME WITH THIS QUESTION ✔
THANKS YOU !!

Answers

[tex]\text{Hey there!}[/tex]

[tex]\huge\text{Decimals, fractions, \& negatives are below 0!}[/tex]

[tex]2\dfrac{21}{30}\ = 2\times30+21 \ = 2\times 30 = 60+21= 81\rightarrow \dfrac{81}{30}[/tex]

[tex]2\dfrac{1}{2}\ = 2\times2+1=2\times2=4+1=5\rightarrow\dfrac{5}{2}[/tex]

[tex]-\dfrac{32}{40}=-\dfrac{32}{40}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer:}-\dfrac{32}{40}, \ 2\dfrac{1}{2}, \ 2\dfrac{21}{30}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Which graph best represents the solution to the following pair of equations? y = 2x − 10 y = −x + 18

Answers

Answer:(6,12)

Step-by-step explanation:

If you apply the changes below to the absolute value parent function, f(x) = |x|,what is the equation of the new function?
• Shift 4 units to the right.
• Shift 6 units up.

Answers

Answer:

Option B [tex]g\left(x\right)=\left|x-4\right|+6[/tex]

Step-by-step explanation:

we have

[tex]f\left(x\right)=\left|x\right|[/tex]

The vertex is the point (0,0)

If to the parent function apply

Shift 4 units to the right and Shift 6 units up

The rule of the translation is

(x,y) ------> (x+4,y+6)

so

The vertex of the new function is (4,6)

therefore

the equation of the new function is

[tex]g\left(x\right)=\left|x-4\right|+6[/tex]

Answer:

just entered the answer and it was |x-4|+6

hope that helps!

Step-by-step explanation:

Which is a positively skewed distribution

Answers

Answer:

A

Step-by-step explanation:

what are the x intercepts, vertex and axis of symmetry of y=-(x+1)(x-5)

Answers

Answer:

x intercepts: (-1, 0) and (5, 0)

vertex: (2, 9)

axis of symmetry: x = 2

Step-by-step explanation:

The x intercepts are where y = 0.

0 = -(x + 1)(x − 5)

x = -1, x = 5

So the x intercepts are (-1, 0) and (5, 0).

The x coordinate of the vertex is halfway between the x intercepts.

x = (-1 + 5) / 2

x = 2

So the vertex is at (2, 9).

The axis of symmetry passes through the vertex.

x = 2

What is the prime factorization of 31?
Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17.​

Answers

Answer:

Step-by-step explanation:

31 is prime. It can't be factored. The way I'm reading the directions, you should enter 31.

Answer:

31

Step-by-step explanation:

The prime factorization of 31 is 1 x 31 = 31.

You have to multiply the number by 1 to find its prime factorization.

However, it is usually written as just 31.

Which expression can be used to find the volume of the sphere?

Answers

Answer:

They used 3.14 for pi:

[tex]V=\frac{4}{3} \pi r^3[/tex]

[tex]V=\frac{4}{3} (3.14)(5)^3[/tex]

Step-by-step explanation:

[tex]V=\frac{4}{3}\pi r^3[/tex] is the volume of a sphere with radius r.

I think that is the diameter given in the picture.

The radius is half the diameter.

So the radius is 5 since the diameter is 10.

Plug in this gives you:

[tex]V=\frac{4}{3} \pi (5)^3[/tex]

Answer:

THE ANSWER IS B

HOPE THIS HELPS

Step-by-step explanation:

I DID IT ON EDG

What is the equation of a line with a slope of -1 and a y-interceptor -5

Answers

Answer:

y = - x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = - 1 and y- intercept c = - 5, hence

y = - x - 5 ← equation of line

Please help with this one question ASAP. (show steps if you can)

Answers

For this case we have that the area of the figure is given by the area of a rectangle plus the area of a square. By definition, the area of a rectangle is given by:

[tex]A = a * b[/tex]

According to the figure we have:

[tex]a = 9 \sqrt {2}\\b = 8 \sqrt {2} -2 \sqrt {2} = 6 \sqrt {2}[/tex]

So, the area of the rectangle is:

[tex]A = 9 \sqrt {2} * 6 \sqrt {2} = 54 (\sqrt {2}) ^ 2 = 54 * 2 = 108[/tex]

On the other hand, the area of a square is given by:

[tex]A = l ^ 2[/tex]

Where:

l: it is the side of the square

According to the figure we have:

[tex]l = 2 \sqrt {2}[/tex]

So:

[tex]A = (2 \sqrt {2}) ^ 2 = 4 * 2 = 8[/tex]

Finally, the area of the figure is:

[tex]A_ {t} = 108 + 8 = 116[/tex]

Answer:

116

Miranda and Jean are planning a trip together. They want to drive, but they're not sure whose car to take. Jean's car uses gallons of gasoline to travel miles. Miranda's car can go miles on gallons of gasoline. Whose car is more fuel efficient, and what is the car’s fuel efficiency in miles per gallon?
is more fuel efficient. Her car gets miles per gallon.

Answers

Jean's car :

(12 1/2) / (5/12) =

(25/2) / (5/12) =

25/2 * 12/5 =

150/5 = 

30 miles per gallon

Miranda's car :

(20 5/7) / (5/7) =

(145/7) / (5/7) =

145/7 * 7/5 =

145/5 =

29 miles per gallon

most fuel efficient is Jean's car....it gets 30 miles per gallon

Answer:

most fuel efficient is Jean's car gets 30 miles per gallon

Step-by-step explanation:

Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and records its color (G for green and Y for yellow). They replace the marble and then pick another marble. If the two marbles picked have the same color, Derek loses 1 point and Mia gains 1 point. If they are different colors, Mia loses 1 point and Derek gains 1 point. What is the expected value of the points for Derek and Mia?
Ask for details Follow Report by Paynedaisa 08/04/2017

Answers

Step-by-step explanation:

With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.

To pick two of the the same color, they can either pick green twice or yellow twice.  

P = (2/3)(2/3) + (1/3)(1/3)

P = 5/9

To pick two different colors, they can either pick green first then yellow, or yellow first then green.

P = (2/3)(1/3) + (1/3)(2/3)

P = 4/9

Expected value for Derek is:

D = (5/9)(-1) + (4/9)(1)

D = -1/9

The expected value for Mia is:

M = (5/9)(1) + (4/9)(-1)

M = 1/9

The measure of central angle XYZ is 3pi/4 radians. What is the area of the shaded sector?
32pi units2
85 ..
96 ..
256 ..

Answers

Answer:

96π units²

Step-by-step explanation:

area of shaded sector (A) = area of circle × fraction of circle

A = πr² × [tex]\frac{\frac{3\pi }{4} }{2\pi }[/tex]

   = 16² × [tex]\frac{3\pi }{8}[/tex]

   = 256 × [tex]\frac{3\pi }{8}[/tex]

   = 32 × 3π

   = 96π units²

Answer:

Area of sector : 96 π unit².

Step-by-step explanation:

Given : The measure of central angle XYZ is 3pi/4 radians.

To find : What is the area of the shaded sector?

Solution: We have given central angle XYZ is 3pi/4 radians.

Area of sector : [tex]\frac{1}{2}[/tex] (radius)²* central angle.

Plug the values central angle  = [tex]\frac{3\pi }{4}[/tex] , radius = 16 units.

Then ,

Area of sector : [tex]\frac{1}{2}[/tex] (16)²* [tex]\frac{3\pi }{4}[/tex].

Area of sector : [tex]\frac{1}{2}[/tex] * 256 * [tex]\frac{3\pi }{4}[/tex].

Area of sector :  128 * [tex]\frac{3\pi }{4}[/tex].

Area of sector : 32 * 3 π

Area of sector : 96 π unit².

Therefore, Area of sector : 96 π unit².

Find the distance across the lake. Assume the triangles are similar

Answers

Check the picture below.

The distance across the lake is 210 meters, and this is found using the concept of similar triangles and proportionality.

The correct answer is option B.

To find the distance across the lake, we can use the concept of similar triangles. Given that the triangles are similar, we can set up a proportion to find the missing side length.

Let's label the sides of the larger triangle as A, B, and C and the sides of the smaller triangle as X, Y, and Z. The given values are:

A = 70 m (the length of the larger triangle)

X = 20 m (the length of the smaller triangle)

Y = 60 m (the width of the smaller triangle)

We want to find side C, which represents the distance across the lake.

We can set up a proportion between the corresponding sides of the two similar triangles:

A / X = B / Y = C / Z

Plugging in the given values:

70 m / 20 m = C / 60 m

Now, solve for C by cross-multiplying:

70 m * 60 m = 20 m * C

4200 m² = 20 m * C

To isolate C, divide both sides by 20 m:

C = 4200 m² / 20 m

C = 210 m

So, the distance across the lake (side C) is 210 meters. This is the solution based on the concept of similar triangles and the given side lengths.

Therefore, from the given options the correct one is B.

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What is the length of the equilateral triangle below?

Answers

Answer:

C. 5√3

Step-by-step explanation:

To figure this out, we need to apply the Pythagorean Theorem, a² + b² = c², where c is the "HYPOTENUSE". In this case, c is already found for us [10], so the operation we use whenever the hypotenuse is defined is deduction, or subtraction. Apply the Pythagorean Theorem: a² + 25 = 100; 75 = a². Now, to find a, we need to find two numbers that multiply to 75, where one of them is a PERFECT SQUARE, and in this case, they are 3 and 25. Since the square root of 25 is 5 [in this case, NO NON-NEGATIVE root], that gets moved to the outside of the radical, and 3 [NON-PERFECT SQUARE] stays wrapped under the radical, ending up with 53. You understand?

I am joyous to assist you anytime.

please help :(

Determine the number of solutions for the quadratic function f(x) = 3x^2 + 5x + 10.

Answers

Answer:

0 real solutions

Step-by-step explanation:

I guess you are looking for the number of real solutions? Correct me if I'm wrong.

There is something called the discriminant that can help us determine this without actually solving f(x)=0 for x.

The discriminant is the thing inside the square root in the quadratic formula.

It is the thing that reads b^2-4ac.

If b^2-4ac:

A) is negative, then you have 0 real solutions (you could say 2 complex solutions)

B) is positive, then you have 2 real solutions

C) is 0, then you have 1 real solution

So comparing 3x^2+5x+10 to ax^2+bx+c, you should see that a=3, b=5, and c=10.

b^2-4ac

=5^2-4(3)(10)

=25-120

=-95

That is a negative result so you have no real solutions.

Write an equation in slope intercept from of the line that passes through the point (3,-2) with slope -2

Answers

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})~\hspace{10em} slope = m\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=-2(x-3) \\\\\\ y+2=-2x+6\implies y=-2x+4[/tex]

A wholesaler receives an order for 8000 pounds of produce. If the cost of shipping is $90 per ton, how much will the wholesaler have to pay for this shipment?

Answers

Answer:360

Step-by-step explanation:

1 ton = 2000 pounds

8000/2000 =4

4x90= 360.00

Answer is 360.00 for shipping

[tex]\huge{\boxed{\$360}}[/tex]

Each pound contains [tex]2000[/tex] pounds, so divide [tex]8000 \div 2000[/tex] to find the number of tons. [tex]8000 \div 2000=4[/tex]

Now, just multiply [tex]\$90*4=\boxed{\$360}[/tex]

05.05 HC) Figure ABCD has vertices A(−2, 3), B(4, 3), C(4, −2), and D(−2, 0). What is the area of Figure ABCD?

Answers

Answer:

The area of ABCD is 24 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- All the point in a vertical line have the same x-coordinates

- The length of the vertical line is y2 - y1

- All the point in a horizontal line have the same y-coordinates

- The length of the horizontal line is x2 - x1

- The horizontal and the vertical lines are perpendicular to each other

- The trapezoid has two parallel bases not equal in length and the other

 two sides are nonparallel sides

- The area of the trapezoid = 1/2 (sum of the two // bases) × height

* Lets solve the problem

∵ ABCD is a quadrilateral

∵ A = (-2 , 3) , B = (4 , 3) , C = (4 , -2) , D = (-2 , 0)

∵ Side AD has same x-coordinates in A and D (-2)

AD is vertical side

AD = 3 - 0 = 3

∵ Side BC has same x-coordinates in B and C (4)

BC is vertical side

BC = 3 - (-2) = 3 + 2 = 5

∵ AD and BC are vertical lines

AD // BC

∵ Side AB has same y-coordinates in A and B (3)

AB is horizontal side

AB = 4 - (-2) = 4 + 2 = 6

∵ The horizontal and the vertical lines are perpendicular to each other

AB is perpendicular on AD and BC

∵ The side CD is not vertical or horizontal

∴ ABCD has only two parallel sides AD and BC

∵ AD ≠ BC

ABCD is a trapezoid

∵ The two parallel bases are AD and BC

∵ Its height is AB

∵ AD = 3 , BC = 5 , AB = 6

∴ Its area = 1/2 (3 + 5) × 6 = 1/2 (8) × 6 = 4 × 6 = 24 units²

* The area of ABCD is 24 units²

Answer:

24 square units

i did the test

Step-by-step explanation:

What is the solution set of the quadratic inequality x^2-5=<0

Answers

The solution of the given inequality is (- √5) ≤ x ≤ (+√5).

What is an inequality?

"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. "

The given inequality is:

x² - 5 ≤ 0

⇒ x² ≤ 5

⇒ x ≤ (± √5)

Therefore, the solution is (- √5) ≤ x ≤ (+√5).

Learn more about an inequality here:

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Problem solving fractions please help!

Answers

Problem #1= 7 5/12- 6 1/12= 1 4/12 which is simplified to 1 1/3

The answer to the first problem is 1 1/3 feet.

Problem #2= 28(3/4)= 84/4= 21

The answer to the second problem is 21 points.

Hope this helps!

The answer to the first problem is 1 1/3 feet and the second problem is 21 points. The explanation is shown in the picture.

21 plus 6p minus two-thirds the sum of 14p and 3q

Answers

Step-by-step explanation:

any doubt regarding to answer !

Algebra 2 please help ASAP
Monica wants to find the GCF of the terms of the polynomial p(x)=12x^3y+6y^2+18xy+24x. She sees that each term is divisible by 3.She factors the polynomial as follows:3x(4x^2y+2y^2+6y+8
Did Monica correctly factor out the GFC? Why or why not?

Answers

Answer:

No, Monica did not correctly factor out the GCF

Step-by-step explanation:

The given expression is [tex]12x^3+6y^2+18xy+24x[/tex]

The prime factorization of each term are:

[tex]12x^3y=2^2\times3\times x^3\times y[/tex]

[tex]6y^2=2\times3\times y^2[/tex]

[tex]18xy=2\times3^2\times x\times y[/tex]

[tex]24x=2^3\times3\times x[/tex]

The greatest common factor is the product of the least powers of the common factors.

[tex]GCF=2\times3=6[/tex]

The greatest common factor is 6.

If we factor the GCF, we obtain:

[tex]6(2x^3+6y^2+3xy+4)[/tex]

Therefore Monica did not correctly factor out the GCF

Number 10 please I don’t know how to do it and if you could also do 11

Answers

Answer:

C) -3

Step-by-step explanation:

x = 1, y = 12

x = 2, y = 9

x = 3, y = 6

x = 4, y = 3

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{9-12}{2-1}=\dfrac{-3}{1}=-3[/tex]

misty's surgery lasted 2 1 hr. convert time to seconds?

Answers

= 21.0000 hours

= 1260.00 minutes

= 75600 seconds

For this case we must convert 21 hours to seconds!

We have that by definition, 1 hour equals 3600 seconds. Then, making a rule of three we have:

1h ------------> 3600s

21h ----------> x

Where "x" represents the number of seconds equivalent to 21 hours.

[tex]x = \frac {21 * 3600} {1} = 75600[/tex]

Thus, 21 hours represent 75600 seconds.

Answer:

75600 seconds.

Which statement about perfect cubes is true?
25 is a perfect cube because 25 = 5+5+5+5+5
30 is a perfect cube because 30 = 3.10
512 is a perfect cube because 512= 8.3.8
1,875 is a perfect cube because 1,875 = 25.25.3

Answers

Step-by-step explanation:

the correct answer is c

Answer:

512 is a perfect cube.

Step-by-step explanation:

because 8*8*8=512

solve the equation 9d+1=8d-15

Answers

Answer:

It's A, -16.

Step-by-step explanation:

solve by moving all terms with d to the left hand side

subtract 8d from both sides

d + 1 = - 15

- 15 - 1 = -16

-16 = d

The answer is a -16.

How to solve an equation in one variable?

When you only have an equation in one variable to solve you will transpose the variable together and get the outcome on the other side.

How to transpose?

When you transpose a variable or a constant on the other side, their function gets changed, so you can add, subtract, multiply or divide on both the sides the effect would not change, but you have to keep in mind about the equality holding true.

Solving the given problem

9d+1=8d-15

As you have to group the variable then subtract 8d on both sides

d+1=-15

After that, you transpose +1 from LHS to RHS

d = -16

Learn more about Transpose here

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factor the expression 6x^2 + 5x + 1

Answers

Answer:

The factors are (3x+1)(2x+1)

Step-by-step explanation:

The expression is:

6x^2 + 5x + 1

We have to break the middle term to find its factors. For this first we have to multiply the coefficient of 1st terms with the constant term:

6*1 = 6

Now we have to find any two numbers whose product is 6 and whose sum is the middle term:

3*2=6

3+2=5

Now break the middle term by these two numbers.

6x^2 + 5x + 1

6x^2+3x+2x+1

Group the first two terms and last two terms:

(6x^2+3x)+(2x+1)

Now take out common factor from each term:

3x(2x+1)+1(2x+1)

(3x+1)(2x+1)

Therefore the factors are (3x+1)(2x+1)....

Answer:

(2x + 1)(3x + 1)

Step-by-step explanation:

Given

6x² + 5x + 1

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 1 = 6 and sum = + 5

The factors are + 3 and + 2

Use these factors to split the x0 term

6x² + 3x + 2x + 1 ( factor the first/second and third/fourth terms )

= 3x(2x + 1) + 1 (2x + 1) ← factor out (2x + 1) from each term

= (2x + 1)(3x + 1) ← in factored form

5 times the square root of 9 minus the square root of negative 64

Answers

Answer:

15-8  

HOPE THIS HELP

Step-by-step explanation:

Answer:

15 - 8i

Step-by-step explanation:

5√9-√(-64) = ?  Rewrite -√(-64) as -8i.

Then we have 5(3) - 8i, or 15 - 8i.

Sin x + cos x = cos x/1-tanx + sin x/1-cot x. Verify the identity. Explain each step please!

Answers

Answer:

[tex]sinx+cosx=\frac{cosx}{1-tanx}+\frac{sinx}{1-cotx}\\[/tex] proved.

Step-by-step explanation:

[tex]sinx+cosx=\frac{cosx}{1-tanx}+\frac{sinx}{1-cotx}\\[/tex]

Taking R.H.S

[tex]\frac{cosx}{1-tanx}+\frac{sinx}{1-cotx}\\[/tex]

Multiply and divide first term by cos x and second term by sinx

[tex]=\frac{cosx*cosx}{cosx(1-tanx)}+\frac{sinx*sinx}{sinx(1-cotx)}[/tex]

we know tanx = sinx/cosx and cotx = cosx/sinx

[tex]=\frac{cos^2x}{cosx(1-\frac{sinx}{cosx} )}+\frac{sin^2x}{sinx(1-\frac{cosx}{sinx})}\\=\frac{cos^2x}{cosx-sinx}+\frac{sin^2x}{sinx-cosx}[/tex]

Taking minus(-) sign common from second term

[tex]=\frac{cos^2x}{cosx-sinx}-\frac{sin^2x}{cosx-sinx}[/tex]

taking LCM of cosx-sinx and cosx-sinx is cosx-sinx

[tex]=\frac{cos^2x-sin^2x}{cosx-sinx}[/tex]

We know a^2-b^2 = (a+b)(a-b), Applying this formula:

[tex]=\frac{(cosx+sinx)(cosx-sinx)}{cosx-sinx}\\=cosx+sinx\\=L.H.S[/tex]

Hence proved

Other Questions
Which species is most likely to exhibit clumped dispersion? in the diagram, AB is devided into equal parts. the coordinates of point A are ______ and the cordinates of point i are____ The glomerular filtration rate would most likely be affected by:a. hormones b. changes in glomerular blood pressure c. pH of blood d. dietary changes Convert 1000100 two to base sixteen (1 point) If the joint density function of X and Y is f(x,y)=c(x2y2)e2x, with 0x0. Conditional density fX|Y(x,y)= 4(x^2-y^2)e^(-2x)/(1-2y^2) (Enter your answer as a function of x, with y as a parameter.) (b) The conditional probability distribution of Y, given X=x. Conditional distribution FY|X(y|x)= 3/4(x^2-y^2) (for xyx). (Enter your answer as a function of y, with x as a parameter.) A box contains five slips of paper. Each slip has one of the number 4, 6, 7, 8, or 9 written on it and all numbers are used. The first player reaches into the box and draws two slips and adds the two numbers. If the sum is even, the player wins. If the sum is odd, the player loses. a. What is the probability that the player wins? b. Does the probability change if the two numbers are multiplied? Explain. Listed below are the salaries, in $000, for a sample of 15 chief financial officers in the electronics industry. $ 516.0 $ 548.0 $ 566.0 $ 534.0 $ 586.0 $ 529.0 546.0 523.0 538.0 523.0 551.0 552.0 486.0 558.0 574.0 Click here for the Excel Data File Determine the mean, median, and the standard deviation. what is the largest populations that an ecosystem an support over time? a. death rateb. carrying capacity c. immigration rate d. keystone During a combustion reaction, 5.00 grams of oxygen reacted with 5.00 grams of CH4.What is the amount of the leftover reactant? 4.00 grams of methane 3.75 grams of methane 2.25 grams of oxygen 1.75 grams of oxygen Which descriptions from the list below accurately describe the relationship between ABC and DEF? Check all that apply During the first phase of the ovary cycle, the ______ matures within a follicle A. Vulva B. Uterus C. OotcyteD. All of the above entregaste el ensayo a la profesora? I'm supposed to write the following intervals as sets indescriptive form:a. (t, infinity), t a fixed real numberb. (0, 1/n), n a fixed natural number---I think it is:a. (t, infinity) = {x: t < x < infinity}b. (0,1/n) = {x: 0 < x < 1/n}Is this correct?Also, how do you indicate that t is a fixed realnumber and n a fixed natural number? Which of these shows 9z + 5 rewritten using the commutative property of addition? 9 + 5z 9 5z 5 + 9z 5 9z Describe how shortening the length of the muscle affects the thin and thick filaments? Complete the square for the following quadratic equation to determine its solutions and the location of its extreme valuey = -x + 4x + 12Ax=2 + 277extreme value at (2.16)B.X = -2,6extreme value at (2,12)C.x = -2.6extreme value at (2.16)D. X = 2 + 277extreme value at (2,12) Carolyn took home some printer paper from the office. Later, she felt guilty for stealing it, so she brought some paper to work to replace what she took. Freud would suggest that Carolyn's ________ was influencing her motives and behavior. Switzer, Inc. has 8 computers which have been part of the inventory for over two years. Each computer cost $600 and originally retailed for $900. At the statement date, each computer has a current replacement cost of $400. What lower-of-cost-or-market value should Switzer, Inc., have for the computers at the end of the year?(A) $3,200.(B) $4,800.(C) $2,400.(D) $7,200. Nerve impulses from ________ will result in inspiration.a. the preoptic nucleus of the hypothalamusb. Broca's centerc. the chemoreceptor centerd. the ventral respiratory group Which points lie on the line that passes through point P andis parallel to the given line? Select three options.(-4,2)(-1,3)(-2, 2)(4,2)(-5, -1)