answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetach [21]
2 years ago
10

Emily wants to hang a painting in a gallery. The painting and frame must have an area of 31 square feet. The painting is 5 feet

wide by 6 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
Image of a frame 5 feet wide by 6 feet long, with an of x on the bottom and right sides

4x2 + 22x − 1 = 0
4x2 + 22x + 31 = 0
x2 + 11x − 1 = 0
x2 + 11x + 31 = 0
Mathematics
2 answers:
seropon [69]2 years ago
6 0
Area=legnth times width=31
the frame must go around the frame with equal legnth, x
so
the total area (meaning the frame +picture) is 5+x by 6+x
31=(5+x)(6+x)
expand
31=30+11x+x^2
minus 31 both sides
0=-1+11x+x^2
x^2+11x-1=0

answer is third one
yarga [219]2 years ago
4 0

Answer:   4x^{2} + 22x − 1 = 0


Step-by-step explanation:

Start off with the standard formula to finding area with polynomials and quadratic functions.

(2x + 5)(2x + 6)

Work out like a normal binomial.

4x^{2} + 22x + 30 - 31

(You're subtracting 31 to take out the minimum of what the frame has to be)

4x^{2} + 22x - 1 = 0

You might be interested in
How much Greater is the amount Jason paid than amount he charged
Andreyy89

Hello,

I think the answer is D) 102.92

Hope this helps!!!! :)

8 0
2 years ago
a table is 6 feet long and 3 feet wide. you extend the table by inserting two identical table/leaves. the longest side length of
Molodets [167]

Yep... so they says that the area of the extended leaf is 18+6x... You know that the area is length into breath... here the breath doesn't change.. so it'll be 3ft... can get the length by dividing area by 3... that is 6+2x... Now the new length wil be 2times that plus the previous 6ft length

6 0
2 years ago
Using approximations to 1 significant figure check that your answer to part a makes sense
natka813 [3]

Answer:

A significant figure is the first digit in a number that isn't zero. You round to this.

Step-by-step explanation:

E.g. 1959302 to 1 Sig Fig = 2000000

You round to the first figure that isn't zero, which is one

E.g 0.000001373 to 1 Sig Fig = 0.000001 because that 1 is the first digit that isn't zero

3 0
2 years ago
A car uses 1 liter of gas every 12 kilometers.
Alexxandr [17]
The answer is 36,000 because 1 km=1,000 m. Since 1 liter is used every 12 km and you are finding out how many m you will go, you change the km to m and you will multiply it by 3.

12,000x3=36,000 m
4 0
2 years ago
Read 2 more answers
If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –5 – 6i 5 – 6i 6 – 5i 6
san4es73 [151]

Answer: 5-6i

The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.

4 0
1 year ago
Read 2 more answers
Other questions:
  • What is the conversion factor from km. to ft.? If Joe traveled 12 kilometers, how many feet did he travel?
    8·2 answers
  • Denny lives in Maryland and pay 6% in sales tax. He just bought $145 in groceries, but $70 worth of those groceries were non tax
    10·2 answers
  • Please help me asap! Could you please explain how you got the answer
    6·1 answer
  • The graph shows a swimming pool as it drains at a rate of 2,000 gallons per hour. How will the graph change if the pool drains a
    9·2 answers
  • Suppose T is the transformation from ℝ2 to ℝ2 that results from a reflection over the y-axis followed by a reflection over the x
    11·1 answer
  • Andrew runs 1/2 lap in 3/4 of a minute. Enter the number of laps he runs per minute.
    14·2 answers
  • Mia has 1/2 of a pizza. She divides it equally among 4 people. Which model shows the fraction of a whole pizza each person gets
    14·1 answer
  • When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from t
    7·1 answer
  • A clothing design company pays two different people to design its T-shirts.
    10·2 answers
  • (b) Ali uses 11% of his $2345 to buy a television.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!