A rectangle has a length of (6x+1) units and a width of (3x+1 units. Express the area of the rectangle as trinomial. Please I really need help and my tutor didn’t help. Please explain the work u did

Answers

Answer 1

whenever you have say a multiplication of a binomial or any polynomial, you can simply multiply each term of one by the other's terms, namely

(a+b)*(c+d+e)  => a(c+d+e) + b(c+d+e), and then add like-terms.

[tex]\bf \stackrel{length}{(6x+1)}\stackrel{width}{(3x+1)}\implies 6x(3x+1)+1(3x+1)\implies (18x^2+6x)~~+~~(3x+1) \\\\\\ 18x^2+6x+3x+1\implies \stackrel{\textit{adding like-terms}}{18x^2+9x+1}[/tex]


Related Questions

A bag contains 14 gray, 7 black and 10 white marbles. A marble is drawn at random. What is the theoretical probability, as a decimal, of drawing a black marble? Round the decimal to the nearest hundredth.

Answers

14 + 7 + 10 = 31 marbles total

7/31 = 0.23 or 23%

The probability of drawing a black marble from a bag containing 14 gray, 7 black, and 10 white marbles is 7/31, which, as a decimal rounded to the nearest hundredth, is 0.23.

The theoretical probability of drawing a black marble from a bag containing 14 gray, 7 black, and 10 white marbles can be calculated by dividing the number of black marbles by the total number of marbles in the bag.

To find the total number of marbles, we add up the counts for each color: 14 gray + 7 black + 10 white = 31 marbles in total.

Next, we calculate the probability by taking the number of black marbles and dividing it by the total number of marbles: Probability = (Number of black marbles) / (Total number of marbles) = 7 / 31.

Converting that probability into a decimal gives us approximately 0.2258. However, rounding this to the nearest hundredth, as asked in the question, gives us 0.23. So, the probability of drawing a black marble is 0.23.

What percent of 700 is 14 ?

Answers

Answer:

2%

Step-by-step explanation:

We are to find out what percentage of 700 is 14.

Assuming [tex] x [/tex] to be the percent of 700 which is 14, we can write it as:

[tex] \frac { x } { 100 } \times 700 = 14 [/tex]

[tex] \frac { x } {100} = \frac {14} {700} [/tex]

[tex] \frac { x } { 1 0 0 } = 0.02 [/tex]

[tex]x=0.02 \times 100[/tex]

[tex]x=2[/tex]

Therefore, 14 is 2% of 700.

If the dimensions of a rectangular garden can be represented by (2x+11) and (3x+5), then what is the area of the garden?

Answers

Answer: 6x^2+43x+55

Area=L*W

Area=(2x+11)(3x+5)=x^2+33x+10x+55

Area=6x^2+43x+55

Answer:

the area of the garden would be 6x^+43x+55

6x-3 <-9 can someone help me asap

Answers

Answer:

x<-1

Step-by-step explanation:

6x-3 <-9

Add 3 to each side

6x-3+3 <-9+3

6x < -6

Divide by 6

6x/6 < -6/6

x < -1

Answer:

x<-1

Step-by-step explanation:

6x-3<-9

Add 3

6x<-6

-6/6=-1

x<-1

can someone show me how to do this step by step? it deals with area, and i'm not very good at math in general. thank you!!

Answers

The area of a circle when you know the radius is found using the formula Area = PI x r^2

The small circle has a radius of  7 inches.

The area of the small circle is 3.14 x 7^2 = 3.14 x 49 = 153.86 square inches.

Using the circumference of a circle use the formula Area = C^2 / 4*PI

Area of larger circle = 113.097^2 / 4 *3.14 = 12790.93141 / 12.56 = 1018.39 square inches.

Now to find the blue area subtract the area of the smaller circle from the larger one:

1018.39 - 153.86 = 864.53 square inches.

What is opposite sides parallel

Answers

Answer:

Opposite sides of parallel are just like diagonal and the other diagonal going the other way.

Step-by-step explanation:

What is (-6-4)divided by(-5)=

Answers

= -2? i dont really know either

Answer: 2

Step-by-step explanation:

-6-4=-10 -10/-5=2

What is the measure of each interior angle of a regular polygon with 5 sides?

Answers

108 degrees because of the equation 180(n-2)/n. 180(5-2)/5= 540/5= 108.

ANSWER

108°

EXPLANATION

The measure of each interior angle of a regular polygon is given by

[tex] \theta = \frac{(n - 2) \times 180}{n} [/tex]

where n refers to the number of sides of the polygon.

From the question we have n=5 in this case.

We substitute to obtain;

[tex]\theta = \frac{(5 - 2) \times 180}{5} [/tex]

[tex]\theta = \frac{3\times 36}{1} [/tex]

This simplifies to:

[tex]\theta = 108 \degree[/tex]

Hence each interior angles of a regular polygon with 5 - sides is 108°

help!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

64π

Step-by-step explanation:

8²·π = 64π

ANSWER

201.06 square units.

EXPLANATION

The area of a circle is calculated using the formula,

[tex]Area = \pi \: {r}^{2} [/tex]

The given circle has radius, r=8 units.

We substitute the radius into the formula to obtain:

[tex]Area = \pi \times {8}^{2} [/tex]

The exact area is 64π square units.

When we substitute π=3.14, we get,

Area=201.06 units square.

4x=-4r+2d for x. Mary

Answers

Final answer:

To solve the equation 4x = -4r + 2d for x, isolate x by performing the same mathematical operations on both sides of the equation.

Explanation:

To solve the equation 4x = -4r + 2d for x, we need to isolate x on one side of the equation. We can do this by performing the same mathematical operations on both sides of the equation. Let's start by moving the terms containing r and d to the other side:

4x + 4r - 2d = 0

Next, we can factor out the common factor of 4:

4(x + r - 0.5d) = 0

Finally, we divide both sides of the equation by 4 to solve for x:

x + r - 0.5d = 0

The solution for x is x = -r + 0.5d.

anwser asap 50 points
What are the dimensions of the matrix?
[1 0 7 -5 9 ]
[-2 3 10 8 5]


Enter your answers in the boxes.

The matrix is a
×
matrix.

Answers

Answer:

[1, 5]

Step-by-step explanation:

Here I see ONE row and FIVE columns, so the dimensions are [1, 5].

Answer:  2,5

Step-by-step explanation:

What is the product of d – 9 and 2d2 + 11d – 4?

Answers

The answer to your question is 2d^3-7d^2-103d+36

Answer:

[tex]2d^3-7d^2-103d+36[/tex]

Step-by-step explanation:

The given expressions are (d-9) and [tex]2d^2+11d-4[/tex].

Their product is given by:

[tex](d-9)(2d^2+11d-4)[/tex]

We expand using the distributive property to obtain;

[tex]d(2d^2+11d-4)-9(2d^2+11d-4)[/tex]

[tex]2d^3+11d^2-4d-18d^2-99d+36[/tex]

We group similar terms to get;

[tex]2d^3+11d^2-18d^2-4d-99d+36[/tex]

We combine the similar terms to get:

[tex]2d^3-7d^2-103d+36[/tex]

an equation that equals 19 x

Answers

Answer:

361x ÷ 19 = 19x

Answer:

18/x = 19

18=19x

Step-by-step explanation:

Which expression is equivalent for this

Answers

Answer: Option A

Step-by-step explanation:

Remember that

[tex]+ * - = -\\- * + = -\\+ * + = +\\- * - = +\\[/tex]

We have the expression

[tex]\frac{1}{2}x + (-7)-2*\frac{1}{4}-(-2)[/tex]

Solve first the multiplication of signs

[tex]\frac{1}{2}x + (-7)-2\frac{1}{4}x-(-2)\\\\\frac{1}{2}x -7-2\frac{1}{4}x+2\ \ \ \ \ \ \ \ Note:\ 2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}\\\\\frac{1}{2}x -\frac{9}{4}x-7+2\ \ \ \ \ \ \ \ Note:\ \frac{1}{2}-\frac{9}{4}=-\frac{7}{4}=-1\frac{3}{4}\\\\-1\frac{3}{4}x -5[/tex]

Lin climbed downard from 2:00 p.m. to 3:00 p.m. Add a point to the graph that shows her possible elevation at 3:00 p.m. Explain your reasioning.

Answers

Final answer:

To show Lin's elevation at 3:00 p.m on a graph, mark a point below her starting altitude at 2:00 p.m, given that she was climbing downwards. The exact placement will depend on her descent rate, for which we have no data.

Explanation:

The question refers to Lin climbing downwards in the period from 2:00 p.m. to 3:00 p.m. In order to plot Lin's movement on a graph, we need to define the vertical axis as her altitude and the horizontal axis as time. Since Lin was moving downward, her altitude at 3:00 p.m. should be less than her altitude at 2:00 p.m.

For example, if she started at an altitude of 4,000 meters at 2:00 p.m., when adding a point to the graph at 3:00 p.m., it should be below the 4,000-meter altitude point, since Lin was descending. The exact point will depend on the speed of her descent, which we don't have information on, but it would be somewhere below the starting point.

 

It's similar to the thrown rock example where the rock rises and then falls. Lin, like the rock, started at a higher point (instead of airborne, she was high on a cliff or a hill), but then moved downwards, decreasing her altitude over time.

Learn more about plotting descent on a graph here:

https://brainly.com/question/29164788

#SPJ12

The point is placed at -50 feet to represent a possible elevation halfway between 0 feet and -100 feet. However, it is important to note that her actual elevation could be anywhere within this range.

Assuming Lin started climbing from an elevation of 0 feet at 2:00 p.m., she could have reached a negative elevation at 3:00 p.m. This is because the graph shows that she was descending at a constant rate.

To determine her possible elevation, we need to consider the following:

The slope of the graph represents the rate of change in elevation. A negative slope indicates that Lin is descending.

The y-intercept of the graph represents Lin's elevation at 2:00 p.m. Since she started at 0 feet, the y-intercept is 0.

The time interval from 2:00 p.m. to 3:00 p.m. is one hour.

Using this information, we can determine that Lin's elevation at 3:00 p.m. could be anywhere from 0 feet to -100 feet. This is because the slope indicates that she is descending at a rate of -100 feet per hour.

CAN ANYONE HELP ME ANSWER THIS PLEASE​

Answers

Answer:

3/10 * 3/10 = 9/100

Step-by-step explanation:

First chance to draw pink is 3 out of 10. replace the marble then I have another 3 out of 10 chance.

What is the mean, median, mode, and range of the numbers 8,15,3,6,13,9

Answers

Hello There!

To find the mean, add up all the numbers and divide according to how many numbers there are. The mean for this set would be "9"

To find the median, place the numbers in value order and find the middle. if there is no middle, add up the two numbers in middle and divide by 2. In this set, the median would be "8.5"

To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. In this set, there would be no mode.

The range of a set of data is the difference between the highest and lowest values in the set. In this set, the range would be "12"

heres your answer in a picture



Refer to matrix B and identify the matrix element b23
A. -5
B. 0
C. 9
D. 8​

Answers

Answer:

C. 9

Step-by-step explanation:

Matrix is an arranged array of rows and columns. The number of rows are represented by m and number of columns by n. Hence the elements of matrix is denoted by small letter with it's row number and column number in subscript.

Like elements belonging to A matrix will be written as:

[tex]a_{mn}[/tex]

In the given matrix, we have to tell the element b_23 which means we have to point out the element in row 2 and column 3.

Looking at the matric we can see that the number at the position of 2nd row and third column is 9.

Hence Option C is the correct answer ..

F(x)=square root of x^2+24x+144. g(x) = square root of x^3 -216

Answers

The square root of f(x) is ±(x + 12) and the square root of g(x) is not defined.

What is function?

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable).

f(x) = x^2 + 24x + 144

f(x) = x^2 + 2(12)x + 12^2

f(x) = (x + 12)^2

Square root of f(x) is ±(x + 12)

g(x) = x^3 - 216

g(x) = (x - 6)(x^2 + 6x + 36)

Here, (x^2 + 6x + 36) does not have real roots hence it is not possible to find the square root of g(x).

Learn more about functions on:

https://brainly.com/question/10439235

#SPJ2

Find the measure of CD. Round to the nearest tenth.
PLEASE HELP!!

Answers

The measure of arc CD is 88.8°

In circle geometry , there are certain theorems that guides the solving of problem involving circles.

Some of the theorems are ;

angle at the center is twice angle at the circumference.

The measure of arc is the measure of angle substended at the centre.

Using trigonometric ratio to get the angle at the center.

sinX = 6.35/9.06

sinX = 0.70

X = 44.4°

angle at the centre = 2 × 44.4

= 88.8°

Therefore, arc CD is 88.8°

a home owner has 5 zucchini plants in her garden. Over the course of the season, the yields( number of zucchini’s per plant) are:

Answers

Answer:

5 zucchini plants

Step-by-step explanation:

Answer: the answer will be 5(x)=x

What is the value of X?

Answers

Answer:

I think B. 10 2/3

Step-by-step explanation:

I haven't learned this yet but out of experience i think this is how you solve it. Find out the ratio of 18 to 8 by dividing 18/8 to get 2.25. then multiply this by 24 to get 10.66 repeated which equals to 10 and 2/3.

Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629

Answers

Final answer:

To find the missing value, divide two consecutive y-values to determine the constant factor. Multiply the last given value by the factor to obtain the missing value.

Explanation:

To find the missing value for the exponential function represented by the given table, we need to observe the pattern of the function.

The given pattern is:

x   -2    -1       0          1           2

y  29  20.3  14.21   6.9629

In this case, we can see that each value of y is obtained by multiplying the previous value by a constant factor.

To determine this factor, we can divide any two consecutive y-values.

For example, dividing 14.21 by 20.3 gives us approximately 0.6988.

So, the missing value can be found by multiplying the last given y-value (6.9629) by this factor.

Hence, the missing value is approximately 4.8616.

Please just help me​

Answers

Answer:

We can see here that the two sides of both triangle are equal to each other, therefore both triangles are isosceles triangles.

And also the two chords are parallel to each other, which let us know that:

b° = 40°

We also proved that that triangle is an isosceles triangle so:

b° = c° = 40°

Which makes it possible to calculate d°:

b° + c° + d° = 180°

40° + 40° + d° = 180°

d°                    = 180° - 40° - 40°

d°                    = 100°

Not sure if my thinking process make sense, but I'm quite sure about the answers.

PLEASE HELP!!!!!!!



Use an equation to find the value of each indicated variable.

Answers

Answer:

y=36°

z=54°

Step-by-step explanation:

3y+2y -> 5y=180 y=36

90-36= 54

What is the approximate circumference of a circle that has a center at (3,1) and passes through the point (3,6)?

Answers

Answer:

Approximately  31.42

Step-by-step explanation:

You use the Distance Formula

d= √( x2 - x1 )^2 + ( y2 - y1 )^2

substitute

r=  √(3-3)^2 + (6-1)^2

    √0^2 + 5^2

r = √25

r = 5

Now you can use the equation for  finding the circumference

2πr

2π5

≈ 31.42

Which equation can be used to represent the statement?

Sixteen is the same as one and two-tenths times a number added to negative 8.

Answers

Answer:

of the number is X, 16 = 1 + (2/10)×X - 8

Answer:

16 = [tex]\frac{6x}{5}[/tex] - 8

Step-by-step explanation:

Topic: One Unkown equation, mixed numbers

first we have to establish our variables, we only have one so we call

x = "a number"

and we start building our one unknown equation part by part by reading

"Sixteen is the same" means in math that "x ="

"one and two tenths"  1 [tex]^{2/10}[/tex]

this means we have (remember how to sum fractions?)

1 + 2 / 10 = 10/10 + 2/10 = 12/10 = 6/5

so " one and two tenths times a number added to negative 8" become [tex]\frac{6x}{5}[/tex] + (-8)

so we have our equation

16 = [tex]\frac{6x}{5}[/tex]  + (-8) or 16 = [tex]\frac{6x}{5}[/tex]  - 8

If two angles of one triangle are congruent to two angles of another triangle, then the _____ are congruent.

Answers

Answer:

TRIANGLES

Step-by-step explanation:

Diep bought a baguette loaf of bread 65 centimeters long. For lunch every afternoon, he cuts 15 centimeters of bread for his
sandwich. Diep wants to determine the length of the loaf of bread, 1, after d days. What is the equation of the scenario? Is
the graph of the equation continuous or discrete?
165 - 15d, discrete
165 - 15d, continuous
65 = 1 - 15d, discrete
65 = 1 - 15d, continuous

Answers

Answer:

l = 65 – 15d; discrete

Step-by-step explanation:

15 is the centimeters he cuts off every day, you have to multiply that by D that´s the nomber of days, in order to calculate how much baguette does he have left.

If 4 days have passed, the anser would be 5 centimeters:

I=65- 15(4)= 65-60= 5

Answer:

[tex]l=65-15d[/tex]; discrete.

Step-by-step explanation:

Let d represent number of days.

We have been given that for lunch every afternoon, Diep cuts 15 centimeters of bread for his  sandwich. The length of loaf cut in d days would be [tex]15d[/tex].

Diep bought a baguette loaf of bread 65 centimeters long. The length of loaf of bread after d days would be initial length minus amount of loaf cut in d days that is:

[tex]65-15d[/tex]

Since [tex]l[/tex] represents length of bread, so our equation would be: [tex]l=65-15d[/tex]

Therefore, the expression [tex]l=65-15d[/tex] represents the given scenario.

The variable d represents number of days and days cannot be fractional. We can take only whole number of days, therefore, the graph of the equation would be discrete.

The surface area of a sphere is 576pi square units. Which choice represents the volume of the sphere?

Answers

Answer:

[tex]\large\boxed{V=2304\pi}[/tex]

Step-by-step explanation:

The formula of a surface area of a sphere:

[tex]S.A.=4\pi R^2[/tex]

R - radius

We have

[tex]S.A.=576\pi[/tex]

Substitute and solve for R:

[tex]4\pi R^2=576\pi[/tex]         divide both sides by π

[tex]4R^2=576[/tex]          divide both sides by 4

[tex]R^2=144\to R=\sqrt{144}\\\\R=12[/tex]

The formula of a volume of a sphere:

[tex]V+\dfrac{4}{3}\pi R^3[/tex]

Substitute:

[tex]V=\dfrac{4}{3}\pi(12^3)=\dfrac{4}{3}\pi(1728)=(4)\pi(576)=2304\pi[/tex]

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