The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x.

The length of a rectangle is 3 times as big as the width. Length = 3x

New width = x + 4

New length = 3x + 4

The new area will be:

a = (3x + 4)(x + 4)

a = 3x² + 12x + 4x + 16

a = 3x² + 16x + 16


Related Questions

|16|-|-5| what is the answer

Answers

Answer:

11

Step-by-step explanation:

the little bars mean absolute value and the absolute value of -5 is 5

16-5=11

Describe what is being done in each step while solving the equation. Match each step with the correct description. HINT: Start with “Original Equation” as the first step.

Answers

1. Original equation
2.Distributive property
3. Add 6x to each side
4. Subtract 2 from each side
5. Divide each side by 11

Find x, y and z

help i don’t know what to do, it’s the last question

Answers

Answer:

y=3

(bc it is the same length as its perpendicular counterpart.

x= 9 (same with Z)

(From pythagorean theorem)

6^2+3^2= (root of) 45

and square root 45

and it is the same as its counterpart (which is z)

Step-by-step explanation:

as I explained on the answer(it doesnt let this part be unwritten)

Tell whether the sequence is arithmetic. If it is what is the common difference? 1, 9/10, 4/5, 7/10

Answers

Answer:

the answer is D

Step-by-step explanation:

The common difference of the arithmetic sequence 1, 9/10, 4/5, 7/10 is -1/10.

What is arithmetic sequence ?

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given arithmetic sequence is,

1, 9/10, 4/5, 7/10

The first term of the sequence a = 1

The common difference of the arithmetic sequence is the difference between two consecutive terms.

d = 9/10 - 1

d = - 1/10

The common difference of the given arithmetic sequence is - 1/10.

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A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?
30
60
45
50

Answers

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

Answer:

Step-by-step explanation:

50 degree

need help................

Answers

827537517172763 kahvxjx

Find the measure of

Answers

Answer:

19 degrees.

Step-by-step explanation:

First solve the angles in the top triangle:

FHG = 180 - 135 = 45 (angles on a straight line = 180)

FGH = 180 - 105 = 75 (angles on a straight line = 180)

Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)

Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60

FDC = 180 - 119 = 61 (anges on a straight line = 180)

Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.

With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).

Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.

GEOMETRY STUFF PLEASE ANDWER DUE IN 20 MINUTES

Answers

Answer:

Statement 2: m∠ ELD = (2x)°

Reason 4: Sum of angles on a straight line is equal to 180°

Statement 6: 2x = 56

Step-by-step explanation:

Since the first step talks about we being given m∠ ELG = 124°, the next thing we are given in the question is that; m∠ ELD = (2x)°

In statement 4,it is written that;

m∠ ELD + m∠ ELG = 180°

The reason behind this is that;

Sum of angles on a straight line is equal to 180°.

For reason 6, we are told it is a subtraction property.

Now the preceding statement gave us;

2x + 124 = 180

Which means that for subtraction property here, we will have;

2x = 180 - 124

2x = 56

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

Answers

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

=10.7

The length of f from the given triangle FGH is 10.7 inches.

What is cosine rule?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°.

Here, f² = 7.6² + 3.2² − 2×7.6×3.2×cos160°

f² = 57.76+10.24-48.64×(- 0.9396)

f² = 68+45.70

f² = 113.7

f = √113.7

f = 10.7 inches

Therefore, the length of f is 10.7 inches.

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Raul came home with $3.00 in his pocket. He had given Rene $1.50 on his way home. Pedro gave him $1.00 that he had borrowed last week. How much money did Raul have at the beginning of the day?

Answers

Answer: $3.50

Step-by-step explanation:

He came home with $3.00.

He gave Rene $1.50 which means that $1.50 was deducted from his money.

Pedro gave him $1.00 which added to his money.

Money he had therefore was:

= 3 + 1.50 - 1

= $3.50

Pls Answer Fast I will give u 5 Stars

Answers

Answer:

X is 90 degrees

Step-by-step explanation:

I dont know the second part

An isosceles triangle has an angle that measures 78.Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE

Answers

Answer:

78, 51, 51

or

78, 78, 24

Step-by-step explanation:

78, 51, 51

or

78, 78, 24

What is the number of degrees the minute hand of a clock moves between 10:21 and 10:34 pm on the same day?

Answers

.

Step-by-step explanation:

The correct answer is 78

Write a polynomial in standard form that represents the area of the shaded region.

Answers

Answer:

[tex]A=p^2-2p-3[/tex]

Step-by-step explanation:

The area for a triangle is given by:

[tex]\displaystyle A=\frac{1}{2}bh[/tex]

The base is p + 1 and the height is 2p - 6. Therefore:

[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]

Simplify the second term:

[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]

Distribute:

[tex]A=p(p-3)+1(p-3)[/tex]

Distribute:

[tex]A=p^2-3p+p-3[/tex]

Combine like terms:

[tex]A=p^2-2p-3[/tex]

Which point does not belong with the other three?

(0,−3)

(0, 0)

(4,−3)

(4, 0)

Question 2
Explain your reasoning.
The point that does not belong is the only point that is
.

Answers

the 3rd one (-4,3)
because it is not located on either of the axes

A. Solve the following linear inequalities.
1. x + 7 <1
2. x + 3.2 < 6.4
3. 3x < 12
4. x/2.5 >5
5. 4a 23.6
6. 1.6 b< 8
7. Z + 4.2 < 2.1​

Answers

Answer:

1. x < −6

2. x < 3.2

3. x < 4

4.  x>12.5

5. ? there is no "<, >" sign

6. b<5

7.  z<−2.1

pls give brainliest

Step-by-step explanation:

see photos for explanation

Original price of concert tickets: $199.95
Discount: 50%

Answers

Answer:

399.9

Step-by-step explanation:

Answer:

99.975

Step-by-step explanation:

199.95=100%

99.975

Find the values of m and n
Can someone help???

Answers

Answer:

n=68

m=180-(68+68)

m=180-136

m=44

Answer:

m=44 n=68

Step-by-step explanation:

Base angle theorum.

180-(68+68)= Angle opposite to M=44

Vertical Angle Theorum.

M=Angle opposite to M=44

Definition of Isoceles Triangle.

n=(180-44)/2=136/2=68

Please, I need help with this

Addison and Bert are in the same reading group at school. The book they're reading right now is 256 pages long. Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book. Bert has read 142 pages, and he plans to read 11 pages every day. How many days will it be until Addison and Bert have each read the same number of pages in total? How many pages will they each have read?

Answers

Answer: The answer in this photo thanks for a little quiz

The number of day it will be until Addison and Bert each have  read the same number of pages in total is 8 days.

What is an equation?

In mathematics, an equation is a statement of equality between two expressions, indicated by the equals sign (=). Solutions to equations are the values for unknowns which, when substituted into the expression, make it true.

Given that, the book they're reading right now is 256 pages long.

Let the number of days be x.

Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book.

102+16x -------(i)

Bert has read 142 pages, and he plans to read 11 pages every day.

142+11x -------(ii)

Addison and Bert have each read the same number of pages in total.

So, (i)=(ii)

102+16x=142+11x

16x-11x=142-102

5x=40

x=8

Hence, the number of day it will be until Addison and Bert each have  read the same number of pages in total is 8 days.

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Pls help :) i really need to finish it

Answers

Answer:

ok so if equilateral triangle has 1 inch and box has 9 inch of height, the lateral area would be 27 square-inch

Step-by-step explanation:

Ali receives a 4% commission for all his sales. His sales for January were $15,000. What was the commission amount he earned for the month of January?

Answers

Answer:

$600

Step-by-step explanation:

Convert the 4% commission into a decimal, which is 0.04.Multiply the sales ($15,000) by the commission as a decimal (0.04). This is $600, which is the answer.

Sarah would like to build a garden this year. Sarah measured out the outside of her proposed garden and would like to know how many square feet of space she will have to use. Calculate the area of her garden from the picture below.

Please show your work :)

Answers

Answer: 11ft

Step-by-step explanation:

Label ABC with the following information.
AB = 35
AC = 62
Find m/c.

Answers

Answer:

m<C = 34.4 °

Step-by-step explanation:

From the question given above, the following data were obtained:

Opposite = AB = 35

Hypothenus = AC = 62

Angle C =?

The value of m<C can be obtained by using sine ratio as illustrated below:

Sine C = Opposite /Hypothenus

Sine C = 35 / 62

Sine C = 0.5645

Take the inverse of sine

C = Sine¯¹ 0.5645

C = 34.4 °

Thus,

m<C = 34.4 °

Use the FOIL Method to find (w+9)(w+6)

Answers

Answer:

Step-by-step explanation:

First, outside, inside, last.

w*w

6*w

9*w

9*6

[tex]w^2+15w+54[/tex]

Answer: w^2 + 15w + 54

Step-by-step explanation:

FOIL = first, outside, inside, last.

First —> multiply first numbers of each parentheses.

Outside —> multiple the OUTSIDE numbers in each parentheses (first number in the first parentheses, second number in the second parentheses.

Inside —> multiply the INSIDE numbers in each parentheses (the second number in the first parentheses, first number in the second parentheses).

Last —> multiply second number of each parentheses.

(W + 9)(w + 6)

F = w^2

O = 6w

I = 9w

L = 54

W^2 + 6w + 9w + 54

W^2 +15w + 54

Find y.
Round to the nearest tenth:
29
500 ft
y = [? ]ft

Answers

Answer:

30 by 500

Step-by-step explanation:

is y

0
-3 < n < 1
n is an integer.
Write down the possible values of n.

Answers

Answer:

-2,-1,0

Step-by-step explanation:

the integers between -3 and 1, not including -3 and 1 are

-2,-1,0

what is 3/4/5-2/3/5...

Answers

Answer:

30

Step-by-step explanation:

The / is another symbol for multipation. Just multiply 3 with 4 and 5. Then multiple 2 and 3 and 5, then you subtract 3 times 4 times 5's answer by 2 times 3 times 5's answer. You will get 30 as the final answer

Answer:

In exact form the answer is 1/6 Or in decimal form it would be 1.2, in mixed number form it would be 1 and 1/5

I hope this helps you.

Given 2 points find the slope using the slope formula. Show all work.
12-Y
me
Xzx,

Answers

What are the coordinates of the 2 points?

write an equation for the line (1,2) and (3,-4)

Answers

Answer:

y=-3x+5

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

The line models the cost of renting a bike. It costs ​$2 per hour plus a ​$4 deposit. Write an equation in​ slope-intercept form for the line where x is the number of hours a bike is rented and y is the total cost of renting a bike. How much does it cost to rent a bike for 3 ​hours?

Answers

Answer:

Step-by-step explanation:

2 votes

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