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
Pavel [41]
3 years ago
15

An integer is 5 more than 4 times another. If the product of the two integers is 51, then find the integers.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer:

  • <u>3 </u><u>and</u><u> 17</u> are required integers

Step-by-step explanation:

  • Let one integer be x
  • And other integer be y

x = 4y + 5

xy = 51

<u>According to </u><u>question </u><u>:</u>

➞ (4y + 5)y = 51

➞ 4y² + 5y = 51

➞ 4y² + 5y - 51 = 0

➞ 4y² + 17y - 12y - 51 = 0

➞ y (4y + 17) - 3(4y + 17) = 0

➞ (y - 3)(4y - 17) = 0

➞ y - 3 = 0

➞ <u>y = 3</u>

Hence,

➞ <u>y = 3</u>

➞ x = 4y + 5

➞ x = 4 (3) + 5

➞ x = 12 + 5

➞<u> </u><u>x = 17</u>

∴ The required integers are <u>3 and 17</u>

You might be interested in
If pr is 3x+14 and qr 7x-10 what is x
mr Goodwill [35]
Start the equation by putting the equations equal to each other 3x+14=7x-10
Next +10 on both sides
3x+14=7x-10
+10 +10
You are left with 3x+24=7x
because the 10's canceled each other out.
Next -3x on both sides
3x+24=7x
-3x +3x

You are left with 24= 10x
because like before the 3's canceled each other out
Now you will divide both sides by 10

24=10x
---- -----
10 10

2.4= X is the answer!
8 0
3 years ago
What is -7q-5 (9q-6) -52q+30
Dovator [93]
Hope This helps you..!!

6 0
3 years ago
Determine the period
aleksandrvk [35]

Answer:

16 units

Step-by-step explanation:

period = length of an interval that contains exactly one copy of the repeating pattern, so from one peak to another peak.

in this graph its the peaks are 1 and 17, hence the period is 16

6 0
3 years ago
Slope of the line (15,20),(-1,11)
masya89 [10]

Answer:

Slope, Angle, & Distance:

Slope: 0.5625

The slope of the line connecting (15, 20) and (-1, 11) is 0.5625

Slope (m): 0.5625

Angle (θ): 29.3578°

Distance: 18.3576

Δx: 16

Δy: 9

Slope Intercept Form:

(y = mx + b)

y = 0.5625x + 11.5625

Step-by-step explanation:

Steps to Find Slope

Start with the slope formula

m=

(y2 - y1)

(x2 - x1)

Substitute point values in the formula

m=

(11 - 20)

(-1 - 15)

Simplify each side of the equation

m=

(11 - 20)

(-1 - 15)

=

-9

-16

Solve for slope (m)

m=0.5625

<h2><em><u>Brainliest?</u></em></h2>
7 0
2 years ago
Convert 315 degrees to radian
inna [77]

Answer:

5.49779

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Choose the linear eqution that has a y- intercept of 3.
    9·1 answer
  • The perimeter of a square is 292 centimeters how long is each side
    12·2 answers
  • Please help me with this math question!
    10·2 answers
  • 3. Vocabulary Give an example of two
    10·1 answer
  • In 1945​, an organization asked 1467 randomly sampled American​ citizens, "Do you think we can develop a way to protect ourselve
    6·1 answer
  • One week Isabella bought 2 bags of apples 3 bags of oranges. Next week she bought 1 bag of apples and 2 bags of oranges what exp
    10·1 answer
  • Question 5
    10·1 answer
  • What is the area of the base ? / / / / /
    8·1 answer
  • This is algebra 1 please find the answer to this problem.
    9·1 answer
  • The square root of 75 is closet to wich is not following
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!