The area of a parallelogram is given by the equation x2+8x−5=0, where x is the length of the base. What is the length of this base?

Answers

Answer 1

Answer:

0.5826 units

Step-by-step explanation:

We are given that the area of a parallelogram is given by the equation

[tex]x^2+8x-5=0[/tex]

Where x= Length of base

We have to find the length of base

[tex]D=b^2-4ac[/tex]

We have

a=1,b=8,c=-5

Using the formula

[tex]D=8^2-4\times (-5)=84[/tex]>0

Now,

[tex]x=\frac{-b\pm \sqrt{84}}{2a}[/tex]

Using the formula

[tex]x=\frac{-8\pm \sqrt{84}}{2}[/tex]

[tex]x=\frac{-8\pm 2\sqrt{21}}{2}[/tex]

[tex]x=\frac{-8+2\sqrt{21}}{2}=-4+\sqrt{21}[/tex]

[tex]x=-4+4.5826=0.5826[/tex]

[tex]x=\frac{-8-2\sqrt{21}}{2}=-4-4.5826=-8.5826[/tex]

Length of base cannot be negative

Therefore, the length of base=0.5826 units


Related Questions

can someone help please?

Answers

Answer:50/100

Step-by-step explanation: 50/100 simplifies into 5/10, meaning they equal each other. 50 is half of 100, and 5 is half of 10.

Evaluate a + b if a = 0 and b = -20​

Answers

a + b

0 + (-20)

= -20

Step-by-step explanation:

a + b = ?

a = 0 and b = -20

0 + (-20)

= -20

Select the correct answer from each drop-down menu.
Consider the end behavior of the function g(x) = 4|-2] -3.

Answers

Answer:

Positive, Positive

Step-by-step explanation:

The only variable is an absolute value which means that as x approaches infinity it can only get bigger and bigger

Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies. Each slice of ple sells for $3.50.
Part A
Write an expression to represent Cindy's profit if she sells b slices of blueberry pie and C slices of cherry ple.
Part B
Cindy sells 24 slices of blueberry ple and 15 slices of cherry ple. The ne
xt day, she sold 26 slices of blueberry ple and 17 slices of cherry pie. What was her total profit?

Answers

B. 3.5( b + c ) - 28.09

C. $108.41

Step-by-step explanation:
The best expression to use to find the total profit of Cindy's pie is 3.5(b+c) - 28.09. The total profit is the total revenue - total cost.
To put it into perspective, let's try an example.
b = 5
c = 12
Total profit = 3.5(b + c) - 28.09
= 3.5 (5 + 12) - 28.09
= 3.5 (17) - 28.09
= 59.5 - 28.09
Total profit = $31.41
Now for part B, we simply use the expression and substitute the values.
b = 24
c = 15
Total profit = 3.5(b + c) - 28.09
= 3.5(24 + 15) - 28.09
= 3.5(39) - 28.09
= 136.5 - 28.09
Total profit = $108.41

The expression that represents Cindy's profit is $3.5b - $128.09.

Cindy's total profit is $30.82.

What is profit?

Profit is total revenue less total cost. Total revenue is the selling price per unit multiplied by the total units sold.

Profit = total revenue - total cost

($3.50b) - ($65.25 + $62.84)

$3.5b - $128.09

What is Cindy's total profit?

Profit for the first day = $3.5(24 + 15)  - $128.09

= ($3.5 x 39) - $128.09

= $136.50 - $128.09

=$8.41

Profit for the next day = $3.5(26 + 17)  - $128.09

= ($3.5 x 43) - $128.09

= $150.50 - $128.09

= $22.41

Total profit = $22.41 + $8.41 = $30.82

To learn more about profit, please check: https://brainly.com/question/26181966

A juice mixture contains 3/16 gallon of apple juice and 3/40 gallon of cranberry juice. How many gallons of apple juice does the mixture contain?

Answers

Answer:

3/16 gallon

Step-by-step explanation:

From the given information in the question, we want to get the number of gallons of apple juice contained in the mixture

From the question, we are told this is 3/16 gallon

So the number of gallons of apple juice contained in the mixture is 3/16

Evaluate |-6| - |2|.

Answers

Answer: 4

Step-by-step explanation: |−6|−|2|

=6−|2|

=6−2

=4

Order these numbers from least to greatest.
1.9042 1.94 1.9 2.818

Answers

Answer:

1.9 1.904 1.94 2.8 pretty ez :DDDDD

which quotient shows the decimal placed correctly?
a. 6÷0.5=1.2
b. 0.64÷2=3.2
c. 0.57÷5=0.114
d. 1.08÷0.3=0.36

Answers

The correct answer is C

Answer: its C i got it right :)

Hopefully someone can help
I need to find
Measure of Arc BC
Measure of Angle B
Measure of Angle C
Measure of Arc AB

Answers

Answer:

arc BC=96 degrees

angle B=55 degrees

angle C=77 degrees

arc AB=154 degrees

(check: 48+55+77=180 and 110+154+96=360)

Step-by-step explanation:

angles A, B, & C are inscribed angles

angle A=1/2 arc BC

arc BC=96

since arc AC=110, then arc AB=360-110-96

arc AB=154

angle B=1/2(110)

angle B=55

angle c=1/2(154)

angle c=77

Joan was assigned to graph an absolute value function, but she forgot the function. However, she remembers the following the y-int is (0,-7), the vertex is (3,-1). Help Joan to rewrite the original equation that she was given.

Answers

Answer:

f(x)= -2|x-3|-1

(Hi Simran! I just wanted to help you with this question though it might be wrong)

Step-by-step explanation:

f(x) = a|x-h|+k

f(x)= a|x-3|-1

-7 = a |0-3| -1

-7 = a |-3| -1 <-- add to -7

-6 = a |-3|

-6 = 3a

-6/3 = a

-2 = a

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

The equation of the absolute value is f(x)= -2|x-3|-1

Help again please?????

Answers

Answer:

37/100 = 0.37 (the first one)

Step-by-step explanation:

a percentage is out of 100.

If you divide 37 by 100, you get 0.37

Answer:

37%=0.37=37/100

Step-by-step explanation:

Convert the percentage to an equivalent decimal number by placing the percentage sign with x1/100. The decimal equivalent to the percentage by moving the decimal 2 places to the left from the convert postion.

can someone help i am trying to finish my assignments because i am tired 9 1/6÷5+3 1/3

Answers

answer: = 31/6
or simplified = 5 1/6

Answer:

Step-by-step explanation:

9 1/6 ÷ 5 + 3 1/3 = [tex]\frac{55}{6}*\frac{1}{5}+\frac{10}{3}[/tex]

                         [tex]=\frac{55}{30} + \frac{10}{3}\\\\= \frac{55}{30}+\frac{10*10}{3*10}\\\\=\frac{55}{30}+\frac{100}{30}\\\\=\frac{55+100}{30}\\\\=\frac{155}{30}\\\\=\frac{31}{6}\\\\=5\frac{1}{6}[/tex]

Which algebraic expression means “four less than three times a number”?
4 - n cubed
3 n - 4
4 - 3 n
n cubed - 4

Answers

4-3n is the answer to your question

Answer:

4-3n

Step-by-step explanation:

would be the correct answer

Keith is 4 years older than twice sheila's age. Sheila is y years old. What expression can be used to find keith's age?

Answers

Answer:

K = 2y + 4

Step-by-step explanation:

Let K = Keith

The expression that can be used to find Keith's age will be K = 2y + 4.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It given that, Keith is 4 years older than twice sheila's age. Sheila is y years old.

Suppose the age of Keith is shown by K and Sheila is y years old.

Expression is the combination of constants and variables with mathematical operators.

The expression can be used to find Keith's age is obtained as,

K = 2y + 4.

Thus, the expression that can be used to find Keith's age will be K = 2y + 4.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ5

2916=4w^6
Find the real solutions to the equation.

Answers

Answer:

3

Step-by-step explanation:

2916=4w^6

or,54^2=(2w^3)^2

or,54=2w^3

or,54/2=w^3

or,27=w^3

or,3√27=w

or,3√3^3=w

or,w=3 answer

96.1% of what number is 103?
Help ASAP

Answers

Answer:

107.18

Step-by-step explanation:

To find the number, divide 103 by 0.961

103/0.961

= 107.180020812 or approximately 107.18

So, the answer is 107.18

EASY QUESTIONS
What is 2+2+2x4?

Answers

Answer:

12

Step-by-step explanation:

Go SUB TO MY YT CHANNEL Florida_kik For a brainly !!!!!!!

find the value of x in the triangle below​

Answers

Answer:

x=109

Step-by-step explanation:

The angles inside of a triangle all add up to 180 degrees. So:

23+48+x=180

Simplify Like-Terms:

71+x=180

Subtract 71 from both sides:

x=109

find the area and the circumference of a circle with radius 7 m
Use the value 3.14, and do not round your answer. Be sure to include the correct units in your answer.

Answers

The formula for circumference is 2 x Pi x R or Pi x D. The diameter is twice the radius, always. With the information I have provided, we can solve this.
Our radius is 7.
Multiply the radius by 2 to get the diameter.
7 x 2 = 14. Since you have requested for the answer to be in terms of Pi, I will assume you mean "14Pi" as your final answer. If not, I will multiply 14 by Pi to get our circumference.
3.14 x 14 = 43.96 cm^2
Your answers are:
14(Pi) cm^2
or (if completely done)
43.96 cm^2
The Area of a circle is PiR^2, or Pi x R x R. Our radius is 7, so to solve this, we need to: Multiply 7 by 7 and then multiply that product by 3.14. 7 x 7 = 49. 49 x 3.14 = 153.86 cm^2 Your area is 153.86 cm^2. Your circumference is 43.96cm^2. I hope this helps!

Need help finding the value of x

Answers

Answer:

The value of x is 26.

Step-by-step explanation:

In a triangle, the total angles is 180°. In order to find the value of x, you have to add up all the angles in terms of x and make it equals to 180°

2x + 3x + 50 = 180

5x + 50 = 180

5x = 180 - 50

5x = 130

x = 130 ÷ 5

x = 26

As we know that,

Sum of all angles of triangle = 180°

Given,

Angles are 2x , 3x and 50°

Now,

[tex] \rightarrow \: 2x + 3x + 50 = 180[/tex]

When plus sign goes to another side then,it become minus.

[tex] \rightarrow \: 5x = 180 - 50[/tex]

[tex] \rightarrow \: 5x = 130[/tex]

[tex] \rightarrow \: x = \cancel \dfrac{130}{5} [/tex]

[tex] \rightarrow \: x = 26[/tex]

Hence,the value of x is 26°.

solve the quadratic equation.
x2+8x+16=25

Answers

Answer:

x=1,-9

Step-by-step explanation:

Move all terms to the left side of the equation and simplify.

Tap for more steps...

x

2

+

8

x

9

=

0

Use the quadratic formula to find the solutions.

b

±

b

2

4

(

a

c

)

2

a

Substitute the values

a

=

1

,

b

=

8

, and

c

=

9

into the quadratic formula and solve for

x

.

8

±

8

2

4

(

1

9

)

2

1

Simplify.

Tap for more steps...

x

=

4

±

5

The final answer is the combination of both solutions.

x

=

1

,

9

ABC is a straight line.
B.
С
The length of BC is four times the length of AB.
BC = 100 metres.
Work out the length AC.

Answers

It should be 125 as

BC=100

and it's four times the length of AB then

100/4=25

then 100+25=125

I hope this helps

A Ferris wheel can accommodate 70 people in 15 minutes. How many people could ride the Ferris wheel in 2 hours? What was the rate per hour?

Answers

Answer: 300 people can ride in 2 hours. The rate is 150 people per hour. Step-by-step explanation: You could first find out how many people can ride in an hr by multiplication. We know 50 people can ride in 20 minutes. So, 50 x 3 = 150 people can ride in 1 hr (because there are 3, 20-minute increments in 1 hr) 150 x 2 = 300 300 people can ride in 2 hours. The rate is 150 people per hour.

The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first base throws the ball to a player at third base, what is the distance the player has to throw?
A 16,200
B 180 squared
C 16,200 squared
D 180

Answers

Answer:

C is the correct answer I might get this wrong and if so sorry.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I did the Plato test

George, Charlotte and Louis share some money in the ratio 2:5:6 Louis gets £39 How much did they share?

Answers

Answer:

£84.5

Step-by-step explanation:

Given ratio = 2:5:6

Amount that Louis got from the total amount = £39

Step 1: Add the ratio together

2+5+6=13

Step 2: covert the given ratio into fraction

George ratio=2/13

Charlotte ratio=5/13

Louis ratio= 6/13

✓LET THE AMOUNT THAT WAS SHARED AMONG THEM= Y

But we know that Louis got £39, then we can compute How much did they shared using "Louiz" shrare as

Louis ratio= 6/13 × Y= £39

= 6Y/13 = 39

Cross multiply

13×39= 6Y

507= 6Y

Y= 84.5

Hence, the amount they shared was £84.5

LITTERLY HELP ME PLEASEE..... 2/x-4x/2x-3=-2
PLEASEE I INSERTED A PIC

Answers

Answer:

x = -3

Step-by-step explanation:

Given expression is,

[tex]\frac{2}{x}- \frac{4x}{2x-3}=-2[/tex]

[tex]\frac{2(2x-3)}{x(2x-3)}-\frac{4x(x)}{x(2x-3)}=-2[/tex]

[tex]\frac{2(2x-3)-4x^{2} }{x(2x-3)}=-2[/tex]

(4x - 6) - 4x² = -2x(2x - 3)

4x - 6 - 4x² = -4x² + 6x

4x - 6 = 6x

6x - 4x = -6

2x = -6

x = -3

Evaluate x² - y2
if x = -4 and y = .5.

Answers

Answer:

The answer is16.25

Step-by-step explanation:

16 + 0.25 = 16.25

Answer:

Answer: -17

Step-by-step explanation:

1 ) x² - y2

2 ) -4² - .5(2)

3 ) -16 - 1

4 ) -17

Can someone please help me, I'm stuck

Answers

Continue the slop until it hits the y axis and that point will be your y intercept

please help me please will give brainliest to anyone who is good


show your work ​

Answers

Answer:

complet the squares

(x^2+14x)+(y^2+12y)=-60

add negative and positive 1/2 of linear coefs inside parenthaees

14/2=7, 7^2=49

12/2=6, 6^2=36

(x^2+14x+49-49)+(y^2+12x+36-36)=-60

factor perfect square

((x+7)^2-49)+((y+6)^2-36)=-60

get rid of parnthaeses

(x+7)^2-49+(y+6)^2-36=-60

(x+7)^2+(y+6)^2-85=-60

add 85 to both sides

(x+7)^2+(y+6)^2=25

B is answer

Step-by-step explanation:

A cyclist rides his bike 18 miles per hour what is the speed in minutes? How many miles will the cyclist travel in 10 minutes

Answers

Answer:

Step-by-step explanation:

18 miles..................60 min

18/60= 0.30 miles/ min

10  minutes   0.30*10=3 miles

Answer:

3 miles

Step-by-step explanation:

1 per hour = 60 minutes=> (18 x 10)/60 = 3 miles

Other Questions
drag the tiles to the correct boxes to complete the pairs.the graph shows a quadratic function f(x). PLS HELP WILL GIVE BRAINLIEST What is the Scientific notation for 0.10050 Jayden's mother bought him the new PlayStation 5 Digital Edition for $420.15, including tax. She made him promise to pay her back in monthly installments. He made a down payment of $35.00 and paid the balance in 12 equal monthly payments. What was Jayden's monthly payment for this PlayStation 5?A 32.10B 35.01C. 37.93D 385.15 What type of appeal is this?calls attention to the author's credentials Please help me! I will give it 5 stars and I will heart the answer! Courtney used 25 out of her 30 tickets to select a prize at the arcade.What is this fraction written as a decimal? Which of the following sentences is written correctly? *The salesperson sold the picture to the short woman in the silver frame.The silver salesperson sold the picture to the short framed woman.The salesperson sold the picture in the silver frame to the short women Explain how the slave trade impacted the people and places around the world. You can use the following list of categories to help explain your answers: Societal & Cultural Impact, Religion, Economic, Culture, African Diaspora. Calculate the measures of center for Mrs. Hampton's data in the dot plot (round your answer to the nearest tenths place). During the year that ended December 31, Clarissa sold goods that cost $67,800, her expenses totaled $8,125 and her freight-in totaled $4,800. Her company's average stock of goods during the same period was $13,432. Clarissa's company's inventory turnover ratio is __________. Totally forgot how to do this, please help. Which of the following could describe the velocity of a rocket? PLAYGROUND Lukas is walking around the edge of the playground shown. How far will Lukas have walked when he finishes one looparound the playground? Round to the nearest unit, if necessary. What is the length of the missing side? Whats the answer??? Express 2x squared - 3x - 5 as the product of two binomial factors what the answer to 8/575 Will mark the brainliest A can of soup contains 1 1/4 cups. A serving is 1/2 of a cup. How many servings are in thecan?1 3/4321/22