1answer.
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
Vesna [10]
3 years ago
6

Tabitha wants to hang a painting in a gallery. The painting and frame must have an area of 58 square feet. The painting is 7 fee

t wide by 8 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
Mathematics
1 answer:
lianna [129]3 years ago
7 0
The quadratic equation would be;
x2+15x-2=0

Working:
Assuming the area around the painting i.e the frame, has a uniform thickness, then;
Length of painting and frame = 8+x
Breadth of painting and frame= 7+x

The area from above step gives;
 A= LxW
A= (8+x)(7+x)
On expanding, 56+8x+7x+x2
On simplifying,
56+15x+x2. This should be equal to 58.
58=x2+15x+56
Taking 58 to the other side,
x2+15x-2=0

You might be interested in
What is the solution to log2 (9x)- log2^3=3?
Svet_ta [14]

Answer:

x = \frac{8}{3}

Step-by-step explanation:

Using the rule of logarithms

log x - log y = log (\frac{x}{y} )

log_{b} x = n ⇒ x = b^{n}

Given

log_{2} (9x) - log_{2} 3 = 3

log_{2} (\frac{9x}{3} ) = 3

log_{2} 3x = 3

3x = 2³ = 8 ( divide both sides by 3 )

x = \frac{8}{3}

3 0
4 years ago
4(x-8)=10<br> solve fo x<br><br> Who tryna hml<br> snap: iss_dylan209
Pachacha [2.7K]

Answer:

x=10.5

Step-by-step explanation:

6 0
3 years ago
Now that you have x² - 8x 16 = 9 16, apply the square root property to the equation.
vitfil [10]

The square root property to the equation will be (x – 4)² = 25. And the solutions will be the negative 1 and 9.

<h3>What is a quadratic equation?</h3>

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The equation is given below.

x² – 8x + 16 = 9 + 16

Then the equation can be written as

(x – 4)² = 25

x – 4 = ±5

x = 4 ± 5

x = -1, 9

More about the quadratic equation link is given below.

brainly.com/question/2263981

#SPJ1

8 0
2 years ago
Helpppp please :) dtchdtgddxxdcrvtgh
sergey [27]
6 cans of paint for a total of 90 dollars spent
I multiplied 120 by .20 to get 24 and subtracted it from 120 to get the amount that still has to be painted which is 96.
96 divided by 16 is 6 which is the number of cans of paint needed to paint the rest. Then just multiply by the cost (15$) and the answer is 90$
3 0
3 years ago
Read 2 more answers
If RS = ST then point S is called the midpoint of .<br><br> always<br> sometimes<br> never
AlladinOne [14]
I believe midpoint would be always. If someone else answers can I have brainliest? It will give you points back
4 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate the expression <br> 18−(−4)−8<br> by rewriting the subtraction as addition
    14·2 answers
  • Which shows a perfect square trinomial?
    6·2 answers
  • For what values of a and b is the line 2x + y = b tangent to the parabola y = ax2 when x = 2?
    14·1 answer
  • How much difference do a couple of weeks make for birth weight? Late-preterm babies are born with 34 to 36 completed weeks of ge
    8·1 answer
  • Please help me I’m not good at math please and thanks
    12·1 answer
  • In a survey of 104 resorts, it was found that
    12·1 answer
  • Y^2+7y+4= please i need the answer
    15·1 answer
  • 2 At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three
    8·1 answer
  • If a polygon has eight sides, then it is an octagon
    15·2 answers
  • Using the slope formula, find the slope of the line through the given points (8,2) and (6,8)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!