2 A square has sides of length (x + 2) cm. A right-angled isosceles triangle has its two equal sides of length (2x + 1) cm. The area of the square is equal to the area of the triangle. (x + 2) cm (2r + 1) cm Diagram NOT accurately drawn (2r + 1)cm a) Write down an equation in .x. b) Show that your equation simplifies to 2x² - 4x - 7 = 0​

Answers

Answer 1

Answer:

2x^2-4x-7=0 according to factorization rule we must have to multiply first and last 2×7 =18 May me this question is mistake


Related Questions

Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:

DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600

CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260

DEBIT: Cash Dividends: 1,000

CREDITS: Fees Earned: 75,000

DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.

Total Debits = 135,260; Total Credits = 135,260

You have prepared the Income Statement and the Statement of Retained Earnings, now it is time to prepare the Classified Balance Sheet.

What amount do you report for Total Equity? Specify as a whole number.

Answers

The total equity of the company for  the year ended is $43,900

What is net income?

The net income is the excess of fees earned by Adventure Travel  in the year ended  over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense

total expenses=32,800+16,800+3960+4000+2800

total expenses=60,360

fees earned=75,000

net income =fees earned-total expenses

net income=75,000-60,360

net income=$14,640

Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid

Retained earnings=$14,640+$ 10,260-$1,000

Retained earnings=$23,900

Having determined the retained earnings closing balance, the total equity , common stock plus the closing balance of retained earnings

Total equity=$20,000+$23,900

Total equity=$43,900

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Five more than the quotient of a number and 3 is 7

Answers

Answer:

y/3 + 5 = 7

Step-by-step explanation:

Five more would mean plus five, and in these types of equations you work almost backwards. So if you but +5 in your answer, you need to add the quotient, dividing(/) by 3, and the unknown number is y. so your finial equation would read, y divided by 3 plus 5 is equal to 7 (y/3 + 5 = 7) Hope this was helpful!

The average American woman self-reports consuming 1.785×103 kcal/day. For a 147.0 lb woman, express this value in joules per second per kilogram of body mass (watts per kilogram).

Answers

Energy consumed equals 0.133 W/kg

What is energy?

Energy is described as the "capacity to accomplish work, which is the ability to apply a force that causes an object to move." Despite this perplexing terminology, the meaning is straightforward: energy is just the force that causes objects to move. Potential energy and kinetic energy are the two forms of energy.

Weight = 147 lb = 66.68 kg (since, 1 lb = 0.453 kg)
Energy consumed = 1.785 x 103 kcal/day
In Watts = 1.785 x 103 x 0.0484 = 8.9 W/day

Energy consumed watts per kilogram = 8.9/66.68 = 0.133 W/kg

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Alonzo found three pieces of cable in his tool drawer. Here are their lengths (in meters).
16, 13.13, 9.7
What is the total length of the three pieces?

Answers

Given details in question are as follows :

Alonzo found three pieces of cable in his tool drawer.

Their lengths (in meters) are 16, 13.13, 9.7

What is an addition in maths?

The addition is a way of combining things and counting them together as one large group. Addition in math is a process of combining two or more numbers. Addends are the numbers added, and the result or the final answer we get after the process is called the sum.

The Sum of all the numbers in this question is 16+13.13+9.7

=38.83

Alonzo found three pieces of cable in his tool drawer, the total length of the three pieces is 38.83

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The information that is in question is as follows:

Three cables were located by Alonzo in his tool chest.

16, 13.13, and 9.7 meters are their lengths.

What does a math addition mean?

By combining objects, we can count them as a single huge group by adding them. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

16+13.13+9.7 is the total of all the numbers in this question.

=38.83

Alonzo discovered three cables totaling 38.83 inches in length in his tool drawer.

Type an equation for the following pattern.

Answers

Answer:

y=28x+0

Step-by-step explanation:

In each row of the table, y is 28 times the value of x.

How many pounds of a chicken feed that is 40% corn must be mixed with 270 lb of a feed that is 80% corn to make a chicken feed that is 70% corn?

Answers

We have to add 90 pounds of chicken feed that is 40 % to make a chicken feed that is 70 % corn.

How many chicken feed must be added to a given blend?

In this problem we have to prepare a chicken feed with a given concentration by blending two chicken feeds with different concentration. The addition of chicken feed needed can be determined by weighted averages:

(70 / 100) · (270 + x) = (80 / 100) · 270 + (40 / 100) · x

0.7 · (270 + x) = 0.8 · 270 + 0.4 · x

189 + 0.7 · x = 216 + 0.4 · x

0.3 · x = 27

x = 90

We have to add 90 pounds of chicken feed that is 40 % to make a chicken feed that is 70 % corn.

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What is the result, when the decision is to reject a null hypothesis

Answers

The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.

What is the null hypothesis?

The observed difference is thought to be the sole product of chance, which is the underlying premise. Statistical testing can be used to calculate the likelihood that the null hypothesis is true.

As part of hypothesis testing, the null hypothesis is a made-up assertion that is intended to see if it can be rejected. It is incorrect to draw the conclusion that a result supports the null hypothesis when it is not extreme enough to do so.

This is because the research hypothesis is true, but the result in the particular sample was not extreme enough to enable the null hypothesis to be rejected.

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A quarterback is sacked for a loss of 7 yards. On the next play, his team loses 12 yards. Then the team gains 5 yards
on the third play. Write an expression to represent the word problem. What is the total number of yards lost or gained?

Answers

The total number of losses is 14.

What are expressions?In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.

So, let the total number of lost and gains be 'x'.

Then, the expression:

-7 - 12 + 5 = x- 19 + 5 = x-14 = xSo, x has a value that is negative so it is a loss.

Therefore, the total number of losses is 14.

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In a math class of 48 students, eight students are studying less than
one hour a night. Six students claim they never study. The rest say they
study more than one hour a night. What fraction of the students are
studying more than one hour each night? (2 marks)
Type a sentence answer in the field provided. Then, submit a picture of
your work to be graded by the instructor.

Answers

Fraction of the students are studying more than one hour each night is 17/24.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

Total student in the class = 48

students studying less than 1 hour = 8

students that don't study at night = 6

students studying more than one hour a night = 48 - (8+6) = 34

fraction of the students studying more than one hour -

= 34/48

= 17 / 24

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The velocity, V, of a specific object being dropped from a particular height, h, can be found by the radical function V equals the square root of the quantity 2 times h times a end quantity where a represents the acceleration in ft/sec2. If the acceleration due to gravity is 32.2 ft/sec2, at what height should you drop an object in order for it to have a velocity of 80 ft/sec?

5,152 feet
99.4 feet
71.8 feet
1.5 feet

Answers

The object is dropped at a initial height of 99.4 feet. (Correct choice: B)

What is the final velocity of a falling object?

Herein we find the case of a specific object under free fall motion, that is, due to gravity and neglecting effects from air viscosity and Earth's rotation. The kinematic equation is presented below:

v = √(2 · a · h)          (1)

Where:

v - Final velocity, in feet per second.a - Acceleration, in feet per square second.h - Initial height, in feet.

If we know that a = 32.2 ft / s² and v = 80 ft /s, then the initial height of the object is:

80 = √(2 · 32.2 · h)

80 = √(64.4 · h)

80² = 64.4 · h

h = 80² / 64.4

h =  99.379 ft

The object is dropped at a initial height of 99.4 feet. (Correct choice: B)

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A circle has a circumference of 25. Find the length of an arc whose central angle is 50

Answers

Answer:

19.625 units

Step-by-step explanation:

[tex]\text{ Arc length } = 2 \pi r \times \frac{\theta}{360}[/tex]

Substituting the given values,

[tex]\begin{gathered}\text{Arc Length } = 2\times 3.14 \times 12.5 \times \frac{50}{360}\\\\\text{Arc length } = 78.5 \times \frac{1}{4}\\\\\text{Arc Length } = 19.625\end{gathered}[/tex]

Thus length of arc is 19.625 units

slope-intercept form? proper fractions, and improper​

Answers

Answer:

y = 3x

Step-by-step explanation:

slope intercept form is y = mx + b with m as the slope and b as the y-intercept

to find the slope you can see where the line intersects at (1, 3) and (0,0) If you look at the graph you count up three spaces over one so the slope is 3

since the y-intercept intersects at (0,0) The y-intercept is 0 and you do not have to add that to the answer

Answer:

y=3x I think if not sorry

Step-by-step explanation:

have great evening,day,night,morning!

Find the coordinates of J if K (-5,10) is the midpoint of JL and L has coordinates of (-8,6)

Answers

The coordinates of J should be (-2,14)

Manny took home a couple of his friends after soccer practice. He originally had 5 gallons of gas in his car. He used 1.03 gallons of gas to take one friend home and four fifths gallon to take the other friend home. How much gas did he have left in his car after taking both friends home?

1.04 gallons
3.17 gallons
5.8 gallons
6.03 gallons

Answers

Answer:

3.17

Step-by-step explanation:

got dat big brain

3.17 Gallons was left in his car after taking both of the friends home.

The given signs denote the following operations/relationships:
A+B means A is greater than B.
A-B means A is less than B.
A-B means A is greater than or equal to B.
A*B means A is not equal to B.
A/B means A is equal to B.
Which of the two conclusions I and II is/are definitely true based on the information
provided?
Statements:
E*F, F/G, G-H
Conclusions:
1. E*G
II. F-H

Answers

Based on the given information, the EFG GH Findings.

Refer to the symbols and their associated meanings below.

The symbols shown signify the following.

operations/relationships:

A+B denotes that A is bigger than B.

A-B indicates that A is less than B.

A is more than or equal to 8 when A=B.

A B denotes that A and B are not equal.

A = B is expressed as A/B.

Which of the two conclusions is unquestionably true?

based on the details offered?

Statements: EFG GH Findings

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The marching band needs to create rows for its performance. There are 48 instruments and 32 flag bearers. Only one type of performer can be in each row. What is the maximum number of performers in each row so that all the rows are equal in length?

48
32
16
2

Answers

The maximum number of performers in each row so that all the rows are equal in length is C. 16.

How to calculate the value?

It should be noted that there are 48 instruments and 32 flag bearers and only one type of performer can be in each row.

The maximum number of performers in each row so that all the rows are equal in length will be the highest common factor between both numbers.

It should be noted that the highest common factor between 32 and 48 is 16

Therefore the correct option is C.

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Francesca wants to
convert 1 cubic foot to cubic centimeters. Use
what you know about customary units to explain
how she can do this.

Answers

The value of 1 Cubic Foot is said to be 28316.85 Cubic Centimeters.

A cubic foot is a unit used to measure the volume of a cube with one foot-long sides. It is a unit to measure a unit volume and is symbolically represented as [tex]ft^{3}[/tex]. It is primarily used in the customary and imperial systems of measurement in the United States.

The volume of a cube with sides that are each one centimeter long is measured in cubic centimeters. It is a unit for measuring a unit volume that is symbolically represented as [tex]cm^{3}[/tex] and is typically used to measure lower volumes.

Conversation: The value of 1 cubic foot is approximately equal to 28316.85 cubic centimeters. So, to convert cubic feet to cubic meters, we have to multiply the given foot value by 28316.85 cubic centimeters.

Hence 1 Cubic Foot = 28316.85 Cubic Centimeters.

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Taliba has $31 to spend ordering some new phone cases. Each phone case costs $4, and there is also a $7 shipping charge. How many phone cases, n, can Taliba buy?

Answers

I think she can buy 6 cases.

7 + 4n = 31
4n = 31-7 = 24
n = 24/6 = 6


Check:

$7 + ($4 x 6 cases) = $31.

I hope this helps!

Explanation? I’ll give brainliest

Answers

Answer:

Step-by-step explanation:

you add all of that up and you get your answer then you subtract that answer to 100 then that’s your answer.

Answer:

First what you want to do is start with the socks.

Socks cost $9.00 so if he is buying 3 pair you would multiply by 3.

9 times 3 is 27. = $27

He bought 2 belts and the belts cost $10.00 so you would multiply that by 2.

10 times 2 is 20. = $20

He bought 1 hoodie which amounts to $29.99 and a pair of shoe laces that amounts to $1.50.

Now what you do is add all thew prices together.

$27 + $20 + $29.99 + $1.50 = $78.49

Final, since he is paying with a hundred dollar bill you want subtract that from the total amount.

$100 - #78.49 = $21.51

So he would get back a total of $21.51.

Step-by-step explanation:

Hope it helps! =D

Jen made a scale drawing of a county park. The scale of the drawing was 13 inches : 6 yards. The picnic area is 42 yards wide in real life. How wide is the picnic area in the drawing?

Answers

The width of the picnic area in scale drawing is 91 inches.

How to find the width of the picnic in scale drawing?

The scale of the drawing was 13 inches : 6 yards.

The picnic area is 42 yards wide in real life.

The width of the picnic area in drawing is as follows:

Therefore,

6 yards = 13 inches

42 yards = ?

cross multiply

Hence,

width of the picnic in the scale drawing = 42 × 13 / 6

width of the picnic in the scale drawing = 546 / 6

width of the picnic in the scale drawing = 91

width of the picnic in the scale drawing = 91 inches

Therefore, the width of the picnic area in scale drawing is 91 inches.

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please help me human to human its due in an hour I've cried help me

Answers

Answer:

The equation has one solution.

A value of x that makes the equation true is -3, which when substituted into the equation and simplified makes the equation turn into 18=18.

A value of x that makes the equation false is 0, which when substituted into the equation and simplified makes the equation turn into 0=18.

Step-by-step explanation:

Hope this helped! :)

Answer:

Step-by-step explanation:

The equation has one solution conditional equation

-6x = 18

-6x/-6 = 18/-6

x = -3

A value of x that makes the equation true is -3, which when substituted into the equation and simplified makes the equation turn into 18 = 18

-6x = 18

-6(-3) = 18

18 =18

A value of x that makes the equation false is 3, which when substituded into the equation and simplified makes the equation turn into -18 = 18

-6x = 18

--6(3) = 18

-18 = 18

To pass a course with a C grade, a student must have an average of 70 or greater. A students grades on three test are 60,71, and 63. Find what score the student must get on the next test to get a C average or better

Answers

The score the student must get on the next test to get a C average or better is 86.

How to calculate the average?

From the information given the pass a course with a C grade, a student must have an average of 70 or greater and students grades on three test are 60,71, and 63.

The next score will be calculated as x.

60 + 71 + 63 + x = (70 × 4)

194 + x = 280

x = 280 - 194

x = 86

Therefore, the next score must be 96.

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PLS PLS PLS PLS PLS PLS PLS PLS HELP ME write the ratios 25:4 and 45:10 as a complex fraction​​

Answers

Answer: =−13 1/3

Step-by-step explanation:

What is 61 lb to g?
What is 0.11 m^3 to kg

Answers

Answer:

1. 27669.1 g

2. 110 kg

If BC= 5x, CD = 8, and BD = 7x, what is BD?

Answers

Answer: 28

Step-by-step explanation:

5x + 8 = 7x

2x = 8

x = 4

BD = 7x

BD = 7(4)

      = 28

PLS HELP ASAP!!!!!!!!!!!!!!!!!!

Answers

Answer:

it A because if u apply pressure the molecules will be cramped

Step-by-step explanation:

The first week of January, there are
49 dogs and 28 cats in an animal shelter.
Throughout the month, the ratio of dogs
to cats remains the same. The last week
of January, there are 20 cats in the
shelter. How many dogs are there?

Answers

There are 35 dogs

The ratio of dogs to cats are 49:28

28/20=1.4
28/1.4=20 (double checking)

Since it’s equivalent ratios, we also do the same with the ratio of dogs

49/1.4=35

Therefore, there are 35 dogs.

Find the value of x in the following
1101 base two + x base two + 11001 base two = 111 base two

Answers

The value of x is -101001 using the base-2 system.

What is a binary number?

A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It uses the symbols 1 and 0 to represent different numeric values (zero). The positional notation with 2 as a radix is known as the base-2 system.

Given:

1101₂+x₂+11001₂=111₂

To find the value of x.

First, we'll write the binary numbers and multiply each digit of the binary numbers by the corresponding power of two:

1101₂+x₂+11001₂=111₂

(1×2³+1×2²+0×2¹+1×2⁰) + x₂ + (1×2⁴+1×2³+0×2²+0×2¹+1×2⁰) = (1×2²+1×2¹+1×2⁰)

Now, solve the powers.

(8+4+0+1) + x₂ +(16+8+0+1) = (4+2+1)

Simplifying we get,

13+x₂+25=7

x₂=7-48

x₂=-41

Using binary converter, we get the value of x as -101001.

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given the rule what is the new coordinate? Show all of your work. rule: (x, y) -> (x-7.5, y+6.8) original coordinate: (5, 3)

Answers

The point (5, 3) is translated using the rule (x, y) ⇒ (x - 7.5, y + 6.8) to get the point (-2.5, 9.8)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

The point (5, 3) is translated using the rule (x, y) ⇒ (x - 7.5, y + 6.8) to get the point (-2.5, 9.8)

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From the equation, find the axis of symmetry of the parabola.
y=-4x² + 24x-35
a. X=1
b. x=-1
PD
Ο Α
OB
O C
OD
C.
d.
x=3
X=-3
Please select the best answer from the choices provided

Answers

The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

We know that the method to find the axis of the symmetry of the parabola is given by:

x = - b / 2 a

We have the general equation of the parabola as:

y = a x² + b x + c

We have the equation of the parabola as:

y = - 4 x² + 24 x - 35

Comparing from this equation, we get that:

a = - 4

b = 24

c = - 35

Now, substituting the values, we get that:

x = - 24 / 2 (- 4)

x = - 24 / - 8

x = 24 / 8

x = 3

Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

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