A square has a side length of 4a. One dimension is decreased by 5 and the other dimension is decreased by 5. Expand and simplify the expression that represents the area of the resulting rectangle

Answers

Answer 1

Answer:

[tex]Area= 16a^2-40a+25[/tex]

Step-by-step explanation:

given that the side of the square is 4a

The expression for the area can be solved by

1. subtracting 5 from the sides of the square i.e (4a-5)

2. Solving for the area of the square using

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

[tex]Area= (4a-5)^2\\Area= (4a-5)(4a-5)\\[/tex]

opening the bracket and expending we have

[tex]Area= 16a^2-20a-20a+25\\Area= 16a^2-40a+25[/tex]

the expression is [tex]Area= 16a^2-40a+25[/tex]


Related Questions

f(x) = x2 - 10x + 25?

Answers

Answer:

hope this is correct

Find the next term of the geometric sequence 2/27 , 2/9 , 2/3 , .. Please help

Answers

Answer:

2/1 or 2

Step-by-step explanation:

They are dividing the denominator by 3. So, the answer is 2/1 or basically the number 2.

For example,

27/3 = 9

9/3 = 3

3/3 = 1

The last math shows how I got the answer.

Hope this helps!

Answer:

2

Step-by-step explanation:

The sequence is multiplying by 3 each time.  2/27 *3= 2/9

2/9 *3 is 2/3.

2/3*3= 2

2 is the next term

The steps for solving the equation 2x-3=7 are listed below

Answers

Answer:

2x-3=7

2x=10

x=5

Answer:

x=5

Step-by-step explanation:

To solve this equation, we need to find out what the variable, x, is equal to. In order to do this, we need to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind that everything must be done to both sides.

2x-3=7

3 is being subtracted from 2x. The opposite of subtraction is addition. Add 3 to both sides

2x-3+3=7+3

2x=7+3

2x=10

x is being multiplied by 2. The opposite of multiplication is division . Divide both sides by 2.

2x/2=10/2

x=10/2

x=5

Find the distance between the points.
(-3,2) and (0,2)
The distance is

Answers

Answer:

d=3

Step-by-step explanation:

by using distance formula

d=√(x2-x1)²+(y2-y1)²

let the points be A(-3,2) B(0,2)

d=√(0--3)²+(2-2)²

d=√(+3)²+(0)²

d=√9

d=3

What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
VX
O y=*x+33
O y=-*x+36
O y = 4x - 16
O y = 4x + 16
Mark this and return
Save and Exit
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Submit

Answers

Answer:

y = 4x + 16 (fourth answer choice)

Step-by-step explanation:

From the given equation we can immediately discern that the slope of these lines is 4 (as they are parallel).

Starting with the slope-intercept formula y = mx + b, we get:

32 = 4(4) + b, or 16 = b, or y = 4x + 16

What is the area of the circle below? (Use 3.14 for Pi)

A. 31.4 square cm
B. 15.7 square cm
C. 78.5 square cm
D. 157 square cm

Answers

Answer:

C

Step-by-step explanation:

A= radius squared(3.14)

A=5x5(3.14

A=78.5

using quadratic formula , give your answer as specified
x2+4x-1=0 (exact root)

Answers

Answer: (-2+√5), (-2-√5)

Step-by-step explanation:

1. Reference the formula: [(-b±(√b^2-4ac))/2a]

2. Plug in the values from the equation: [(-4±(√16+4))/2]

3. Simplify: [(-4±(√20))/2]

4. Simplify the root: [(-4±(2√5))/2]

5. Simplify the fraction: [-2±√5]

6. There's your answer: (-2+√5), (-2-√5)

Brainliest question please help me please show your work

Answers

Answer: C) Outside the circle

Step-by-step explanation: Ok, so we know 0,0 is the center of the circle and 5,8 is on the circle, on the border. Therefore, anything more than 5,8 is outside the circle and anything less is inside the circle.

[tex]\sqrt{-15}[/tex] = -3.87

[tex]\sqrt{-74}[/tex] = -8.60

(-3.87, -8.60)

Therefore, the answer is outside the circle...pretend the rectangle is a circle...as you can see point Z will be outside the circle.

I hope this helps!

Answer: A-Inside the Circle

Step-by-step explanation: For point Z: the coordinate is (-3.9,8.6) rounded to the nearest whole and since the center of the circle is at (0,0) and a point on the circle is (5,8) then we know that every other point will be the same distance away from the circle. If (5,8) is a point on the circle then (-5,8), (-5,-8), and (5,-8) will also be points. If you plot all of these and draw a circle outline you will see that point Z falls in the circle. (I MIGHT BE WRONG but I hope this helps a little)

plzzz help me i will mark you as brainliest​

Answers

Answer:

7/21

Step-by-step explanation:

3*7=21

1*7=7

I hope that helps

Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This month, he sold 444444 chickens and 363636 ducks for \$532$532dollar sign, 532.

Answers

Answer:

chicken 8 and duck 5

Step-by-step explanation:

pls help!!!!!!!! will give brainliest

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Given

x² + 10x + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the x- term (+ 10)

The factors are + 2 and + 8, since

2 × 8 = 16 and 2 + 8 = 10, thus

x² + 10x + 16 = (x + 2)x + 8)

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

(b)

Given

x² + 7x + 12

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)

The factors are + 3 and + 4, since

3 × 4 = 12 and 3 + 4 = 7, thus

x² + 7x + 12 = (x + 3)(x + 4)

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

(c)

Given

x² + 13x + 12

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 13)

The factors are + 1 and + 12, since

1 × 12 = 12 and 1 + 12 = 13, thus

x² + 13x + 12 = (x + 1)(x + 12)

(X+2) (X+8)
(X+3) (X+4)
(X+1) (X+12)

Logs are stacked in a pile with 74 logs on the bottom row and 6 on the top row. Each row has four more logs than the row above it.
a) How many rows of logs are there?
b) How many total logs are in the stack?

Answers

a)14

b)88

Pls mark be as brainliest

What is the measure of angle TRV?
O 20°
O 50°
60°
O 130°

Answers

Answer:

•130°

Step-by-step explanation:

...........…..

The measure of the angle ∠TRV from the intersecting lines is ∠TRV = 130°

What are the angles formed by 2 intersecting lines?

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the two intersecting lines be m and n

Now , the linear pair of angles are supplementary or Adjacent angles are supplementary

And , the measure of ∠TRV + ∠TRS = 180°

On simplifying , we get

(x - 10)° + (2x + 10)° = 180°

x - 10 + 2x + 10 = 180°

3x = 180°

x = 60°

Now , the measure of  m∠TRV = ( 2x + 10 )°

m∠TRV = 2( 60 ) + 10

m∠TRV = 130°

Hence , the measure of angle ∠TRV = 130°

To learn more about angles in intersecting lines click :

https://brainly.com/question/16315358

#SPJ7

The complete question is attached below :

What is the measure of angle TRV?

O 20°

O 50°

O 60°

O 130°

Rearrange the equation to solve for x 3kx+2kx=10.

Answers

Answer:

[tex]kx-2=0[/tex]

Step-by-step explanation:

We are given that  an equation

[tex]3kx+2kx=10[/tex]

We have to find the  value of x by rearrange the equation

Subtract 10 on both sides then we get

[tex]3kx+2kx-10=0[/tex]

Now, combine like terms

[tex]5kx-10=0[/tex]

Now, taking common factor

[tex]5(kx-2)=0[/tex]

[tex]5\neq 0[/tex]

Therefore,

[tex]kx-2=0[/tex]

This is required equation to solve for x.

express the given equation in quadratic form : ​

Answers

Answer: [tex]5n^2-48n-20=0[/tex]

Step-by-step explanation:

Here are the steps:

[tex]\frac{n+2}{n-2}- \frac{n-2}{n+2} =\frac{5}{6} \\\frac{(n+2)^2-(n-2)^2}{(n+2)(n-2)} =\frac{5}{6} \\\frac{n^2+4n+4-(n^2-4n+4)}{n^2-4} =\frac{5}{6}\\ \frac{n^2+4n+4-n^2+4n-4}{n^2-4} =\frac{5}{6}\\\frac{8n}{n^2-4} =\frac{5}{6}\\48n=5(n^2-4)\\5n^2-20-48n=0\\5n^2-48n-20=0[/tex]

Solve (x-3) (x+2) = 0 and x² - 25​

Answers

Answer:

its 2 x I think u can defirantate

[tex]x^{2} -25\\x^{2} -5^{2} \\(x-5)(x+5)[/tex]

Answer:

Step-by-step explanation:

[tex](x-3) (x+2) = 0\\(x * x )+(x*+2)- (3*x)-(3*2)=0\\x^{2} +2x-3x-6=0\\Simplify : +2x-3x ,to = -x\\x^{2} -x-6 =0\\[/tex]

When is written in simplest radical form, which value remains under the radical?

Answers

Answer:

The number that is a perfect square remains on the outside and the one that isn't, stays on the inside. For example, you can make the number 2[tex]\sqrt{3}[/tex] only when the number on the outside is a perfect square. The original number was 4, so it reduced down to 2, and the other number stayed in the radical

Find the domain and range of the exponential function h(x) = –343^x. Explain your findings. As x decreases, does h increase or decrease? Explain. As x increases, does h increase or decrease? Explain.

Answers

Answer:

As x decreases, h increases (but never touches)

As x increases, h decreases (but never touches)

Step-by-step explanation:

If you graphed the exponential, you would be able to see that it is stuck in the 3rd quadrant.

Domain: (negative infinity, 1)

Range: (negative infinity, 0)

Please help me idk this

Answers

The area of the figure is 84

Answer:84

Step-by-step explanation:

at 12pm there are 855 people in the zoo by 5pm 4/5 of the children have left and ³/₄ of the adults have left. There are now 36 more children than adults in the zoo.working out

Answers

Answer:

300 Adults 555 Children

Step-by-step explanation:

What we know:

Firstly, at 5pm there were 36 more Children (C) than Adults (A)

So.....C = A + 36

Secondly, at 12pm there were 5 x more Children and 4 x more Adults and the total was 855

So 4A + 5C = 855

——-

Now use ‘C = A + 36’ and get rid of all ‘C’ in the second equation.....

4A + 5C = 855

becomes......

4A + 5 (A + 36) = 855

Multiply the brackets (5 x A) and (5 x 36):

4A + 5A + 180 = 855

Take off 180 from both sides:

4A + 5A = 675

Therefore 9A = 675

Divide by 9:

A = 75

We know C is A + 36

C = 111

At 5 pm - A = 75 and C = 111

Therefore at 12:

There were 5 x C = 555

And 4 x A = 300

Reggie lost three spaceships in level 3 of a video game he lost 30 points for each spaceship when he completed level three heat earned a bonus of 200 points by how much did his score change.

Answers

Answer:

His score change was 110

Step-by-step explanation:

Lets say he started at 0 points and lost 30 points for each spaceship thats 3 x 30 which is 90 so he's sitting at -90 points then got 200 so thats -90 + 200 = 110

X= -2 / Y= -4 / Z= 4

(1.-) 3x + z - y

(2.-) 2xz - 3xy + 4


Pls help me!

Answers

Answer:

1.-3x+z - y

-3(-2)+4-(-4)

6+4+4

=14.

2.-2xz-3xy+4

-2(-2(4))-3(-2(-4))

-2(-8)-3(8)

16-24

= -8.

(28 • 3–5 • 60)–2 • • 228 ???

Answers

Answer:

the answer to this problem is -672

which graph function of x?​

Answers

the horizontal is the graph function of x

the point (1, -3) is on the line given which equation below

Answers

Answer:

D

Step-by-step explanation:

The x value is a positive one since it has nothing in front of the x variable and x -3 represents y value of negative 3

Hope this helps plz mark brainliest!

Answer: B. y = -3x

Step-by-step explanation:

By plugging in the given point into each answer choice for the x and y values for which ever equation is true that is the correct answer.

For the purpose of speeding things up the correct answer is B y = -3x

If we plug in the point give, (1, -3) for (x, y) then we get the equation:

-3 = -3 * 1

This equation when solved: -3 = -3 which is true so this is the correct answer.

Simplify fully
4x2 + 4x
2x2-2

Answers

Answer:

militply 4 nd 2 to get 8

[tex]8 + 4x[/tex]

[tex]2 \times 2 - 2 \\ 4 - 2 = 2 \\ = 2[/tex]

Someone please help I suck at algebra
If a = 2 and c = -6
What would ac equal?
(I don’t know what to do if two letters are together)

Answers

Answer:

ac equals -12

Step-by-step explanation:

When 2 or more letters are put together, you need to multiply them.

ac=

a×c=

2×(-6)=

-12

ac= -12

Answer:

-12

Step-by-step explanation:

a = 2 and c = -6

ac= a*c = 2*(-6)= -12

answer this for brainliest

Answers

Answer:

44

Step-by-step explanation:

Answer:

43.98229715

Step-by-step explanation:

the formula to work out the circumference is 2πr

the diameter is given (14cm)

the radius is half the diameter so its (7cm)

2π x 7 = 43.98229715

if you are going to round this, it will go up to 44

If f(x)=5x+40, what is f(x) when x=-5

Answers

Answer:15

Step-by-step explanation:

5x=40  (replace x by-5)

(5*-5)+40

=-25+40

=15

f(x)= 15

First substitute, multiply, add the 40 and you get your answer

Point A is at (-8, 5) and point M is at (-1.5, 1). If M is the midpoint of line segment AB, what are the coordinates of point B?

Answers

Answer:

(5,-3)

Step-by-step explanation:

If point A is 6.5 on the x axis away from point M, then point B must be the same distance away. -1.5+6.5=5. If point A is 4 on the y axis away from point M then point B must also be the same distance away. 1-4=-3.

So the answer must be (5,-3)

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