The area of a rectangle is 5 x cubed + 19 x squared + 6 x minus 18 with length x + 3. using synthetic division, what is the width of the rectangle?
5 x squared + 4 x minus 6
5 x squared + 34 x + 108 + startfraction 306 over x + 3 endfraction
5 x cubed + 4 x squared minus 6 x
5 x squared + 34 x + 108 + startfraction 306 over x minus 3 endfraction

Answers

Answer 1

A rectangle is a 2-dimensional shape having 4 sides. The width of the rectangle is 5x^2 + 4x - 6

How to find the quotient of a function using synthetic division?

A rectangle is a 2-dimensional shape having 4 sides

The formula for calculating the area of the rectangle is given as:

A = lw

Given the following

Area = 5x^3+19x^2+6x-18
Length = x + 3

Using the synthetic division:

           5x^2 + 4x - 6

x + 3 |  5x^3+19x^2+6x-18

           5x^3 + 15x^2

________________________

                     4x^2 + 6x
                     4x^2 + 12x

__________________________

                                -6x - 18
                                -6x - 18

Hence the width of the rectangle is 5x^2 + 4x - 6

Learn more on area of rectangle here: https://brainly.com/question/25292087

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

Select the correct answer.


ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?

A.
A′(-3, 3), B′(-1, 1), C′(-2, 3)

B.
A′(3, -3), B′(1, -1), C′(2, -3)

C.
A′(3, -5), B′(1, -7), C′(3, -5)

D.
A′(-3, 3), B′(-1, 1), C′(-2, -3)

Answers

Answer:

The correct to the question about is simply C. A is ruled out because it doesn't represent refections

The answer is C, hope this helps!!

Find the values of the variables.
31
W
Х
V
у
68°
Z

Answers

Answer:

X=121, y=59, w=59, z=53

Step-by-step explanation:

To find w, we know that the interior angles of a triangle are 180°. Thus ↓

180-31-90=59

For y, we know that y and w are opposite angles. Therefore, y = w = 59.

To find x, we know that there is a one straight line, so therefore we use ↓

180-59=121

Lastly, to find z, we know that the interior angles of a triangle are 180°. Thus ↓

180-59-68=53

I've attached a photo for better understanding. Hope this helps =)

which angles are congruent in the isosceles triangle

Answers

b and c are correct

What property is illustrated in the following statement? If DF= FG and FG=GH, then DF=GH. pls help

Answers

Answer:

Its a parallelogram

Step-by-step explanation:

Since there are 4 points we know it has to be a 4 sided shape. Since 3 out of the four sides are equal, then we know that this shape has to be a parallelogram so it has at least one pair of parallel lines.

WILL GIVE BRAINLIEST. Which of the following points is shown in the graph below?
(-1,5,3)
(1,5,3)
(1,5,-3) (1,-5,3)

Answers

Answer:

( -1, 5, 3 )

Step-by-step explanation:

First check the point on the X-axis and then match it on the Y-axis.

Answer:

A. (-1, 5, 3)

Step-by-step explanation:

Go step by step, (x, y, z) just like the alphabet. now that you know the order plug in those numbers where they belong. now you can find that (-1, 5, 3) is the only point the places directly on the grid (:


An settler on Mars measures the angle between the star Sero and the star Vega 3 to
be 22.4". If the Mars is approximately 93 million light years from the Sero and Vega 3
is approximately 67 million light years from the Sero (as measured by intergalactic
travelers), how far away is Vega 3 from the Mars?

Answers

The distance between Vega 3 and the Mars (MV) illustrates cosine function, and the distance is 29.1 million light years or 142.8 million light years

How to determine the distance between Vega 3 and the Mars?

From the question, we have the following parameters

Angle between Sero and Vega, Ф = 22.4Distance between Mars and Sero, MS = 93 millionDistance between Vega and Sero, VS = 67 million

See attachment for the illustration of the given parameters.

The distance between Vega 3 and the Mars (MV) is then calculated using the following cosine function

VS² = MS²+ MV² - 2 * MS * MV * cos(Ф)

This gives

4489 = 8649+ MV² -  171.96MV

Subtract 8649 from both sides

MV² -  171.96MV = -4160

Rewrite as:

MV² -  171.96MV + 4160 = 0

Using a graphing tool, we have:

MV = 29.1 and MV = 142.8

Hence, the distance between Vega 3 and the Mars is 29.1 million light years or 142.8 million light years

Read more about distance at:

https://brainly.com/question/16485848

4.
rhombus abcd has mlabc = 120° and
ab = 7. find diagonal length, bd.

Answers

Answer: 7

Step-by-step explanation:

Question 7 of 10
One spring, a group of students measured rainfall totals at their school. This
chart shows how many inches of rain the students measured each month.
How many more inches did it rain in May than in April?
RAINFALL
MONTH
March
April
May
5.7
3.2
7.3
Help me god

Answers

Answer:

9

Step-by-step explanation:

10

2. A vanilla milkshake recipe calls for 3/8 cups of vanilla ice cream for every 1/3 cups of milk. How many cups of vanilla ice cream would be needed for 1 cup of milk?




(ಠ_ಠ)>⌐■-■. (⌐■-■)​

Answers

Answer:

1 1/8 cups of vanilla for a cup of milk.

Step-by-step explanation:

v-3/8  m-1/3

v-6/8  m-2/3

v-1 1/8 m-1

Pedro’s book weighs 194 pounds. blanca’s book weighs 177 pounds. use estimation to determine about how much more pedro’s book weighs than blanca’s.

Answers

(i dont know what you mean by that cause clearly just do 194 - 177 = 17 pounds)

Round 194 pounds to 190 ; 177 to 180

In estimation, Pedro's book weighs 190 - 180 = 10 pounds more.
190 : 180 = 1.06 times more.

pleas help!!! no links! According to the line plot, what is the total distance run by the runners that each ran 1/5 of a mile and 1/2 of a mile?

1 3/10 miles

1 7/10 miles

4 miles

1 1/2 miles ​

Answers

17/10 miles

1/5*1+1/2*3=3/2+14/10=17/10

Answer:

1/5+3/2=2/10+15/10=17/10

Help me fast please 50 POINTS giving 50 points and brainliest its only 5 questions

Answers

Answer:

2x^2+1=5-2x

2x^2+1-5+2x

2x^2-4+2x=0

x^2-2+x=0

x^2+x-2=0

(x+2)(x-1)

x1= -2

x2= 1

Answer:

[tex]2x^2+1=5-2x2x^2+1-5+2x2x^2-4+2x=0x^2-2+x=0x^2+x-2=0(x+2)(x-1)x1= -2x2= 1[/tex]

Step-by-step explanation:

I hope this helps and have a good day!

The graph of g(x)=(x-12)^2 is the graph of f(x)=x^2 translated ____ units

Answers

[tex] \black{ \rule{1000pt}{5555555pt}}[tex] [/tex]

Please answer number 2. I don’t understand I’m very stressed right now I need help please.

Answers

Answer:

Smaller

Step-by-step explanation:

Because 7/8 is less than 1 and the sides are smaller which makes the volume smaller

:thumbsup:

The principal at mcdermott middle school is planning to survey students at his school, but only wants the survey to contain statistical questions. the following list contains survey questions that he is considering.

determine whether each question is a statistical question. type "yes" or "no" to indicate whether or not it is a statistical question.

what is the school's mascot?

how many minutes long is third period?

how many clubs do you participate in?

how many electives do you want to take next year?

Answers

what is the school's mascot? no

how many minutes long is third period? no

how many clubs do you participate in? yes

how many electives do you want to take next year? yes

4. Find the value of x.
to
90°

Answers

Answer:

90

Step-by-step explanation:

Measure of one arc = 90°

-> Measure of other arc = 360°- 90° = 270°

x° = 1/2 (270° - 90°)

-> x° = 1/2 * 180°

-> x° = 90°

-> x° = 90°

-> x = 90

Which object would weigh closest to 5 pounds A.Bee B. Flour C.Hat D.Football​

Answers

I believe the answer is football.

brainliest and 50 points!
the dimensions of rectangle ABCD are shown below. (picture included)

A) 4.5
B) 7.5
C) 13.5
D) 19.5​

Answers

Answer:

I believe the answer is 13.5

Step-by-step explanation:

because u need to find the area of a triangle which is Area= b*h*0.5 so fill in the blank b=9 h=3 b*3*0.5=13.5

Answer:

D). 19.5

Step by step answer:

Bigger triangle:

4 + 5 = 9 (Base)

Height = 3

A = 9 x 3 / 2 = 13.5

Smaller triangle:

Height = 3

Base = 4

A = 4 x 3 / 2 = 6

6 + 13.5 = 19.5

What is this transformation called?

Answers

Answer:

It is translation

the car stays the same when it moves from BLUE to B"L"U"E"

Step-by-step explanation:

if it was a rotation, the car would be upside-down in the final product.

if it was a reflection, the car would also be upside-down.

if it was a dilation the final product would be smaller.

This is how we know is a translation.

Find the median of the data in the box plot below.
dollars
Cost of each lunch for the month (in dollars)
8
9
10
7
4.
5
6
Сл
Report a problem
Stuck? Review related articles/videos or use a hint.

Answers

Median is just the middle number. If you put all the numbers in order from least to greatest:
4,5,6,7,8,9,10
Then you can find the one in the middle. In this case it’s 7.
10 20 30 40 50 60 80 90 100

Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

Step-by-step explanation:

6^2+B^2=3^2X5

36+b^2=9x5

b^2=9

b=3

if you answer correctly i will mark you brainliest

Answers

Answer:

200

Step-by-step explanation:

main steps in solving algebraic equations are number one we tie the up the equation. So basically expand any brackets or divide out any fractions.

PLS help i need this ASAP

Answers

Answer:

I beleive your answer would be ∡B

Step-by-step explanation:

Amy planted a flower garden with rows of blue flowers, b, and rows of yellow flowers, y. Each row of blue flowers has 5 flowers, and each row of yellow flowers has 7 flowers. Which expression represents the total number of flowers Amy planted?
A. 5 + r + 7 + b
B. 5b + 7y
C. 5 × 7 + b × y
D. 5y + 7b

Answers

This problem has two variables, b and y. The b value is the number of rows of blue flowers, and the y value is the number of rows of yellow flowers.

In every row of blue, there are 5 flowers.

In every row of yellow, there are 7 flowers.

Therefore, our expression would be 5b + 7y.

I hope this answers your question.

-Toremi

-8/7 / 5/4 as a fraction

Answers

Answer:

- 32/35

Step-by-step explanation:

-8/7 / 5/4 = -32/35

You and your friend are sharing three eighths of a bag of candy. How much of the bag will each of you get if you share it evenly?

Answers

Answer:

3/16

Step-by-step explanation:

3/8 / 2 = 3/16

Therefore you and your friend will each get 3/16.

Translating a phrase into a two-step expression
Translate this phrase into an algebraic expression.
Two more than the product of 17 and a number

Answers

Answer:

(17xa)+2

Step-by-step explanation:

I WILL GIVE BRAINLIEST 50 POINTS
Find x. Round your answer to the nearest tenth of a degree.

Answers

#b

[tex]\\ \rm\rightarrowtail tan47=\dfrac{b}{21}[/tex]

[tex]\\ \rm\rightarrowtail b=21tan47[/tex]

[tex]\\ \rm\rightarrowtail b=22.5[/tex]

#c

[tex]\\ \rm\rightarrowtail cos47=\dfrac{21}{c}[/tex]

[tex]\\ \rm\rightarrowtail c=21/cos47[/tex]

[tex]\\ \rm\rightarrowtail c=30.88[/tex]

Answer:

c = 30.8 (nearest tenth)

Step-by-step explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = 21b = 22.5

Substitute given values into the formula and solve for c:

⇒ 21² + 22.5² = c²

⇒ 947.25 = c²

⇒ c = ±√(947.25)

⇒ c = ±30.8 (nearest tenth)

As distance is positive, c = 30.8 (nearest tenth) only

a triangular sail with a height of 6 feet has a base that is 9 feet long what is the area of the sail

Answers

Answer:

54 I think

Step-by-step explanation:

you multiply the width times the length and that’s the area


hope this helps!

answer is 54 :)))))))


Help me please Anyone

Answers

Answer:

Step-by-step explanation:

How do you solve a rectangle word problem?

The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width. Given that, the area is 500 square feet and the width is 20 feet. So, substitute these values into the formula. Divide each side by 20 to isolate l .

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