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
Katen [24]
3 years ago
13

What is two numbers that multiply to 24 but add to 25?

Mathematics
1 answer:
lesya [120]3 years ago
6 0
X, y - the numbers

xy=24 \\
x+y=25 \\ \\
\hbox{solve the second equation for y:} \\
x+y=25 \\
y=25-x \\ \\
\hbox{substitute 25-x for y in the first equation:} \\
x(25-x)=24 \\
25x-x^2=24 \\
-x^2+25x-24=0 \\
-x^2+24x+x-24=0 \\
-x(x-24)+1(x-24)=0 \\
(-x+1)(x-24)=0 \\
-x+1=0 \ \lor \ x-24=0 \\
x=1 \ \lor \ x=24 \\ \\
y=25-x \\
y=25-1 \ \lor \ y=25-24 \\
y=24 \ \lor \ y=1

The numbers are 1 and 24.
You might be interested in
How do you write 4000000+30000+800+20+5 in standard form
Lena [83]
4,030,825 is the answer
7 0
3 years ago
Read 2 more answers
SOLVEEEE NOWWWWW HURRRYYYYYY
Sati [7]
I believe it’s a negative slope
7 0
3 years ago
The area of a square is (36d^2 - 360d + 9) in^2.
Ber [7]

Answer:

Step-by-step explanation:

36 d²-36 d+9=9(4d²+4d+1)

=9[4d²+2d+2d+1]

=9[2d(2d+1)+1(2d+1)]

=9(2d+1)(2d+1)

=9(2d+1)²

=[3(2d+1)]²

=(6d+6)²

length=6d+6

perimeter=4(6d+6)=24d+24

when d=2

length=6×2+6=18in

perimeter=4×18=72 in

area=18²=324 in²

8 0
3 years ago
Determine the intercepts of the line.<br> y=5x-13<br><br> Y-Intercept ( , )<br> X-Intercept ( , )
Arte-miy333 [17]

Answer:

Y-intercept is (0, -13)

X-intercept is at (13/5, 0)

Step-by-step explanation:

When it's in this form, y = mx + b, you automatically know what the y-intercept is (b).

So the y-intercept is (0, -13)

To algebraically find this, you'd plug in a 0 for x, since the y intercept is when it crosses the y-axis, which is located at x = 0.

To find the x intercept, you'd do the opposite of the y-intercept, which is plugging in a 0 for y and solving for x. The x-axis is located at y = 0.

0 = 5x - 13

13 = 5x

x = 13/5

The x-intercept is at (13/5, 0)

I hope this helped!

3 0
3 years ago
Solve for x. -3.5x = -35
r-ruslan [8.4K]

Answer:

- 3.5x =  - 35 \\ x =  \frac{ - 35}{ - 3.5}(  -  \div  -  =  + ) =  \frac{35}{35 \times .1}  \\  =  \frac{1}{.1}  = 10 \\ x = 10 \\ thank \: you

7 0
3 years ago
Read 2 more answers
Other questions:
  • sarah earns $3,120 every month her monthly expenses total to $2,130 determine how much money will be spent on rent
    7·1 answer
  • 11. Determine if (-4, 6) is a solution for this system
    11·1 answer
  • What is the answer to:<br><br> |5 - 3| + |(-4) - 6| =
    15·2 answers
  • Find the confidence interval with a 90% level of confidence. In October 2010, Gallup Poll asked 510 randomly sampled adults the
    15·1 answer
  • Anita sells stuffed bunnies and puppies to a toy store. She sells each bunny for $8.00 and each puppy for $10.00. This week, Ani
    15·1 answer
  • 2)
    15·1 answer
  • What is 2/3 divided by 1/2
    14·1 answer
  • An aquarium tank holds 474 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3.8 liters.
    14·2 answers
  • Convert .00853 to a percent.<br> a .00853%<br> b .0853%<br> c .853%<br> d 8.53%
    5·2 answers
  • Prakash bought a new car at the dealership for $27,000. it is estimated that the value of the car will decrease 7% each year. wh
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!