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
kykrilka [37]
3 years ago
15

Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the sq

uares of the first two. one solution is 33​, 55​, and 77. find three other consecutive odd integers that also satisfy the given conditions.

Mathematics
1 answer:
Ksju [112]3 years ago
7 0
Let
x-----------> first <span>odd integer
x+2--------> second consecutive odd integer
x+4-------> third consecutive odd integer

we know that
(x+4)</span>²=15+x²+(x+2)²-------> x²+8x+16=15+x²+x²+4x+4
x²+8x+16=19+2x²+4x-------> x²-4x+3
x²-4x+3=0

using a graph tool----------> to calculate the quadratic equation
see the attached figure
the solution is
x=1
x=3

the answer is
the first odd integer x is 1
the  second consecutive odd integer x+2 is 3
the third consecutive odd integer x+4 is 5

You might be interested in
Find area of a rectangle with vertices -9,3 -9,-7 -6,-7 and -6,-3
VikaD [51]
4 times 3 equals 12.
3 0
3 years ago
Simplify the linear expression
vekshin1

Answer:

\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of -\frac{1}{4} a would be 2, and in the case of \frac{2}{3} the value would be 2. This would result in the equation: -\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}. Then simply combine like terms to get your final answer.

5 0
2 years ago
If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
Solve x<br> Log 10×=5.9<br> ×=
Alja [10]

Answer:

x=0.59

Step-by-step explanation:

because if u divide 5.9 by 10 it will give u 0.59

and isolate x

8 0
3 years ago
The value of the expression is?
olga_2 [115]

Answer:

24

Step-by-step explanation:

u can do mental math or use a calculator

6 0
2 years ago
Read 2 more answers
Other questions:
  • Please help me with these questions
    12·1 answer
  • 4 radians is the same as
    14·1 answer
  • Given the graph below, write the piecewise function.<br><br> How do I solve?
    10·1 answer
  • Can i get help plz !!!!!!
    8·2 answers
  • A rectangle whose perimeter is one hundred four feet. Has a width that is te feet shorter Then its length. What are the dimensio
    12·1 answer
  • What is the radius or diameter of r=11cm
    10·2 answers
  • Which of these is the longest<br> 1 foot<br> 1 yard<br> 3 feet<br> 39 inches<br> 2.5 feet
    15·1 answer
  • A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
    11·1 answer
  • Which expression is equivalent to
    14·1 answer
  • HELP ASAP!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!