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
Ad libitum [116K]
3 years ago
15

In remodeling a house an architect finds that by adding the same amount to each dimension of a 15ft by 19ft rectangular room, th

e area would be increased by 98 ft^2. How
much must be added to each dimension?
Let x be the amount that is added to each dimension. After writing an equation in standard form with a > 0, a= ? b= ? and c= ?
(Simplify your answers.)
Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:

Step-by-step explanation:

new length=15+x

width=19+x

then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²

original area=15×19=285 ft²

then 285+98=x²+34x+285

or

x²+34x-98=0

x²+34x+17²=98+17²

(x+17)²=98+289=387

x+17=√387=3√43

x=3√43-17 ft

You might be interested in
Hi can someone please help! I have no idea what the answer is
ArbitrLikvidat [17]

Answer:

?

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Solve 5 + 44 = 2 + r
pickupchik [31]
Okay the answer is r=47
Let's solve your equation step-by-step.<span>5+44=2+r
</span>Step 1: Simplify both sides of the equation.<span>5+44=2+r
</span>Simplify:<span>49=r+2
</span>Step 2: Flip the equation.<span>r+2=49
</span>Step 3: Subtract 2 from both sides.<span><span>r+2−2</span>=49−2</span>r=47
Answer:<span>r=<span>47
Hope this helps!:)</span></span>
6 0
3 years ago
Read 2 more answers
Ravi is riding his bicycle. He takes 6 hours to ride 76.8 kilometers. What is his speed?
Volgvan

Answer:

12.8km/hr

Step-by-step explanation:

Distance = 76.8km

Time = 6 hours

Speed = distance ➗ time

Speed = 76.8km ➗ 6 hours

Speed = 12.8km/hr

I hope this was helpful, Please mark as brainliest

7 0
3 years ago
Pleaseee helppp no wrong answer please answer all
yaroslaw [1]

Step-by-step explanation:

it is the right answer you have to learn inverse function . if f:A to B and is a function then new function from B to A is said to be inverse function in which each element of set a maps unique element of b

4 0
2 years ago
2 factors that add to 6 but multiply to 60
hodyreva [135]

Answer:

The short answer is there isn’t.

Start by writing each of these as an expression:

x * y = 60

x + y = 7

Next, solve each for the same variable; in this case, y:

(x * y) / x = 60 / x

.: y = 60 / x

(x + y) - x = 7 - x

.: y = 7 - x

Next, replace y of the second expression to the first

y = 60 / x & y = 7 - x

.: 7 - x = 60 / x

Now, solve for x:

(7 - x) * x = (60 / x) * x

.: x * 7 - x^2 = 60

This is quadratic, so write it in the form of ax2 + bx + x = 0

(-1)x^2 + (7)x + (-60) = 0

.: a = -1, b = 7, c = -60

Finally solve for b:

x = (-b +- sqrt(b^2 - 4*a*c)) / 2a

.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)

.: x = (-7 +- sqrt(49 - 240)) / -2

.: x = (-7 +- sqrt(-191)) / -2

The square root of a negative value is imaginary and thus there’s no real answer to this problem.

8 0
2 years ago
Other questions:
  • What is 2?8,644~200,000 in equation
    8·1 answer
  • What is the length of the longest side of a triangle that has vertices at (-5,-1), (-5,5), and (3,-1)
    7·1 answer
  • The volume of a sphere is 11, 488 cubic centimeters. What is the diameter of this sphere, to the nearest centimeter? (Volume of
    10·1 answer
  • How would you determine the inverse of f(x) = √x - 4 ? ​
    9·1 answer
  • Solve the simultaneous equations 4x+y=10 X-5y=13
    6·2 answers
  • Buses on your route run every 8 minutes from 7:00 am to 11:00 am. you arrive at the bus stop at 8:19. how long will you wait for
    7·2 answers
  • 230 divide 30 equals
    10·2 answers
  • What is the probability of rolling a 2 or not rolling a 2 using a regular 6-sided number cube?
    13·1 answer
  • Sam picked 48 oranges in 5 minutes. How many oranges could she pick in 2 minutes?
    13·1 answer
  • Equivalent Ratios in Measurement
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!