Help. Your backyard is 17 feet longer than it is wide. Its area is 7068 square feet. Its width is Solve by using quadratic equation.

Answers

Answer 1

Answer: Width=76 ft

Step-by-step explanation:

Let x = width, then x+17=length

Solve:

(x+17)x=7086

x²+17x=7086

x²+17x-7086=0

(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer

x=76 or x=-93 (rej) ⇔ A length cannot be negative.


Related Questions

what is 0.004 ⃝ 4.00 *

Answers

0.004 < 4.00

Hope this helps! :)

Use completing the square to solve for x in the equation (x + 7) (x minus 9) = 25.

Answers

Answer:

x=1+/- the square root of 89

Answer:

x=1+ (square root of 89)

Step-by-step explanation:

Who can get it right?
I had £3.00.
My Mom gave me £10.00.
My Dad Gave me £30.00.
My Aunt & Uncle gave me £100.00.
I had another £7.00.
How much did I have?
Right answer will get deleted.
I won against Laura leadbetter​

Answers

the answer is 150 dollars

Step-by-step explanation:

I know this because you add

We want to perform a sum of various values. We will find that the total amount of money that you have is £150.00

We know that:

You initially have £3.00.Your Mom gives you £10.00.Your Dad gives you £30.00.Your Aunt & Uncle given you £100.00.You had another £7.00.

So the total amount of money that you have is the sum of all these values, we will get:

£3.00 + £10.00 + £30.00 + £100.00 + £7.00 = £150.00

Then the total amount that  you have is: £150.00

If you want to learn more, you can read:

https://brainly.com/question/19245500

If the revenue function for a particular commodity is R(p) = −53p2 + 64p, what is the (linear) demand function q(p)?

Answers

The Demand Function would be as follows:

[tex]Q = 64 - 53p[/tex]

What is Demand Function?

This shows the relationship between Price &amp; Quantity, represents Quantity as a function of price.

Revenue is the total receipts from sale, with the formula [tex]= Price[/tex] × [tex]Quantity[/tex]

So,

[tex]Quantity = Revenue / Price[/tex]

Hence, dividing the given revenue equation by P, we get

[tex]Q = (- 53p^2 + 64p )[/tex][tex]/ pQ = - 53p + 64[/tex] {Demand Function}

So, above-mentioned [tex]Q = 64 - 53p[/tex] is the Demand Function.

To learn more about Demand Function, refer https://brainly.com/question/23029589?referrer=searchResults

Use rounding (to the nearest 10) to estimate the product of 3217 X 44.

Answers

So using whole number rounding I believe the answer you should get would be 141,550 as 3217 x 44 is equals to 141,548 so the answer may be 141,550 since 50 is the closest ten number to 48, with a distance of only 2 numbers.

The required, when rounded to the nearest 10, the estimated product of 3217 ×  44 is 128,800.

What is the product?

In mathematics, products are defined as the repetitive addition of a value a number of times to another value.

Here,
To estimate the product of 3217 × 44 by rounding to the nearest 10, we can round each number to the nearest 10 and then multiply:

3217 rounds to 3220

44 rounds to 40

So we can estimate the product as:

3220 × 40 = 128,800

Therefore, when rounded to the nearest 10, the estimated product of 3217 x 44 is 128,800.

Learn more about the products here: https://brainly.com/question/10585362
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The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the circumference of the circle sprayed by the sprinkler? Use 22/7 for π.

Answers

C=πd

r=21

d=42

C=132 ft, and D is your final answer. Hope it help!

Answer:

132

Step-by-step explanation:

D

solve 2x^3+7x^2-2x-1=o​

Answers

Answer:

[tex]x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}[/tex]

Step-by-step explanation:

This is a hard one

We have to use the rational root theorem

[tex]2x^3+7x^2-2x-1[/tex] = 0

We have to find all the factors of a and d and put them in a fraction

[tex]a=2\\d=-1\\\frac{1}{1,2}[/tex]

We then plug them into the equation to see if any of them work

The equation isn't true when plugging 1, but is true when plugging in 1/2

factored form of 1/2 is (2x-1)

Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get [tex]x^2+4x+1[/tex]

So now the equation is [tex](2x-1)(x^2+4x+1)[/tex]

Solve the second half of this equation using the quadratic formula to get

[tex]\sqrt{3}-2[/tex] and [tex]-\sqrt{3}-2[/tex]

We already know the solution for the first half of the equation (1/2)

So the final answers are:

[tex]x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}[/tex]

Pls help... asappp pls.

Answers

85%
Explanation: if she does 20 each glass is worth 5% (because 100/20=5) if she broke 3, that’s 15% off, so that means her success rate is 85%

In the diagram which angles are vertical angles

Answers

Answer:

angles that are opposite each other when two straight lines intersect.

Step-by-step explanation:

Identify the lateral area and surface area of a right cone with a radius of 7 cm and a slant height of 15 cm. PLEASE HELP!!! A)L = 329.9 cm2 ; S = 373.9 cm2 B)L = 329.9 cm2 ; S = 483.8 cm2 C)L = 659.7 cm2 ; S = 483.8 cm2 D)L = 659.7 cm2 ; S = 813.6 cm2

Answers

Answer:

Step-by-step explanation:

a.  

L

=

329.9

c

m

2

;

S

=

373.9

c

m

2

.

b.  

L

=

659.7

c

m

2

;

S

=

483.8

c

m

2

.

c.  

L

=

659.7

c

m

2

;

S

=

813.6

c

m

2

.

d.  

L

=

329.9

c

m

2

;

S

=

483.8

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

c

m

and  

15

c

m

respectively

r

=

7

c

m

l

=

15

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

329.9

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

c

m

2

So the lateral area and total area of a right cone are  

329.9

c

m

2

and  

483.8

c

m

2

respectively.

if f(x)=2x-1, what does f(10) equal

Answers

Answer:

f(10) = 19

Step-by-step explanation:

f(x) = 2x - 1

To find f(10) substitute the value of x that's 10 into f(x). That is for every x in f (x) replace it with 10

We have

f(10) = 2(10) - 1

= 20 - 1

We have the final answer as

f(10) = 19

Hope this helps you

Izzy is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 500
miles per minute to travel to the moon? Round to the nearest hour
8 hours
20 hours
478 hours
28,680 hours

Answers

Answer:

478 hours

Step-by-step explanation:

You would divide 239,000 by 500.

Analyze the diagram below and complete the instructions that follow. If ON = MN, find MN. A. 4 B. 5 C.4 sqrt{2}]. D 4 square root 30

Answers

Answer:

C. 4 sqr 2, sorry for the answer being late, hope this helps some one tho :)

Step-by-step explanation:

I took the quiz and got it correct

Answer:

The answer would indeed be C.

Step-by-step explanation:

Was in my test on edg.

HELP PRECALC WILL GIVE BRAINLIEST

Answers

Answer:

  [500, 600, 500]

Step-by-step explanation:

Your friendly local matrix reducer will tell you the last column should be ...

  500

  600

  500

__

Find a formula for the general term
an (not the partial sum) of each infinite series (with starting point of n = 1.)
4/12+1+1/22+1+4/32+1+1/42+1+................

Answers

Answer and Explanation:

Solution: For the general term of each infinite series,

     n=1 and the series are:

4/12+1+1/22+1+4/32+1+1/42+1+……..

Let [4/12 +1] + [1/22 + 1] + [4/32+1] + [1/42+1] +………

Sum of infinite series= ∑n=1 [4/n+11 + 1/n] + [1/n+21 + 1/n] + [4/n+31 + 1/n] + [1/n+41 +1/n] +………..

For n=1.

Question
Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room.
He has $745 in savings and can earn $20 per hour tutoring. How many hours must he tutor to have enough money to pay
for the trip?

Answers

Answer:

13 hours

Step-by-step explanation:

Given that Daniel will incur the following costs:

Transportation : $310

Food : $275

Hotel : $70 per night for 6 nights = $70 x 6 = $420

his total cost  = $ (310 + 275 + 420) = $1005

it is given that he has $745 in savings: If he uses all his savings, it will reduce his total cost balance to $1005 - $745 = $260

hence he needs to make up the remaining $260 by tutoring for $20 per hour

number of hours to make up the $260

= $260 ÷ $20/hr

= 13 hours

Evaluate v(x) = 14 – 3x when x = -3,0, and 4.

Answers

Answer: 23 , 14 , 2

Step-by-step explanation:

V(-3)=14-3(-3)

=14+9

=23

V(0)=14-3(0)

=14-0

=14

V(4)=14-3(4)

=14-12

=2

I hope this helps

Irving Manz works for Ben’s Food Mart. He is paid weekly on the basis of a 40-hour week at the rate of $8.95 an hour with time-and-a-half for overtime. During one week he works 49.5 hours. What was Irving’s time-and-a-half pay rate an hour?

Answers

Answer:

Irving earned about $363.00 during the week.

Step-by-step explanation:

Irving’s time-and-a-half pay rate an hour =$485.54

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Payment for one hour =  $8.95

So, paid for 40 hours

=40*$8.95

= $358.00

Now for -a-half overtime

=$8.95*1.5

= $13.425

Now, for extra 9.5 hours

=$13.425*9.5

=$127.5375

Hence,  Irving’s time-and-a-half pay rate an hour

=127.5375+358.00

=$485.54

Learn more about unitary method here:

https://brainly.com/question/22056199

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The model at the right best represents what percent?

Answers

Answer:

hehe ily tacos hehehhee

Step-by-step explanation:

Answer:

65% out of 100%

Step-by-step explanation:

hope this helps! :)

The length of AB = in ?

Answers

AB = 2.894 inches

hope this helps

What is the answer PLEASEE

Answers

Answer:

[tex]3^{-4}[/tex]

Step-by-step explanation:

[tex]3^5\cdot \:3^{-9}=3^{5-9}=3^{-4}[/tex]

The following table shows the bonus earned by Samuel for selling different numbers of shirts:

Samuel's Bonus
Number of Shirts Sold Bonus Earned
9 24
12 32
15 40
18 48
21 ?

Answers

The answer is 56.
If you look, the second number column increases by eight each time. So take the last number, forty eight, and add eight to it.
Hope that helps!

3g-9+11g-21 simplyfy

Answers

Answer:

=14g−30

Step-by-step explanation:

I hope this helps you

Answer:

14g - 30

Step-by-step explanation:

combine like terms

ANSWER ASAP!!!!
PLEASE INCLUDE STEP BY STEP EXPLANATION
DO A.

Answers

Answer:

57

Step-by-step explanation:

I prefer the equation in this format

[tex] \frac{3 |m - 2 {n}^{2} | }{4} [/tex]

substitute -4 for m and 6 for n

[tex] \frac{3 | - 4 - 2( {6}^{2}) | }{4} [/tex]

square the 6 then multiply by 2

[tex] \frac{3 | - 4 - 72| }{4} [/tex]

solve inside the absolute value then multiply by 3

[tex] \frac{3 | - 76| }{4} [/tex]

[tex] \frac{228}{4} [/tex]

divide by 4

[tex]57[/tex]

If c + d = 16 and d = 6, what is c- d?

Answers

Answer:

4

Step-by-step explanation:

c+d=16

d=6

so c will be 10 as c+6=16

c=10

d=6

so c-d=10-6=4

hope it helps

si el perímetro del círculo es 10π,determina el perímetro del rectángulo​

Answers

The answer to this was the pie of the graph

Point Q (-2, -2) is translated according to this rule (x - 3, y + 4). Which directions will Point Q be translated?

Answers

Answer:

it would be translated up.

Step-by-step explanation:

(-2,-2)    (x-3, y+4)

-2-3= -5    -2+4= 2

      (-5,2)

The width of a rectangular swimming pool is 12 meters less than the length, and the perimeter is 72 meters. Find its dimensions in meters

Answers

Answer:

The dimensions are 24 and 12 meters.

Step-by-step explanation:

W + L + W + L = 72   perimeter

(L-12) + L + (L-12) + L = 72

4L - 24 = 72

4L = 72 + 24 = 96  ====>  L = 96%2F4 = 24.

The dimensions are 24 and 12 meters.

How do I do constructions

Answers

Answer:

  it depends

Step-by-step explanation:

The required tools are a compass and straightedge. A pencil or other drawing tool will also be useful (or you can use the marker in the compass).

__

Generally, follow the applicable directions. The specific directions vary, depending on the construction you want to do. Numerous web sites and videos can show you step-by-step. (Search for "construction of ...") for whatever you're trying to construct.

__

To construct a circle (or part of a circle), set the compass to the appropriate width, place the pointed end on the center of the circle, and rotate the marker in a circle around that point, taking care to ...

keep the pointed end in the same spot,keep the width of the compass the same until your circle is complete.

To construct a line through two points, align the edge of the straightedge with the two points, and make a mark along that edge using your marking tool. (You may find that you need to make a slight adjustment in your alignment to account for the width of the marker).

All other constructions use combinations of these skills.

To enhance Jamie’s explanation, describe both sections of the piecewise function using linear equations. Include any limits to the domain. HELP ASAP

Answers

Answer:

Sugar

Step-by-step explanation:

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