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
trasher [3.6K]
3 years ago
9

How are the slopes of parallel lines and perpendicular lines related?

Mathematics
1 answer:
klasskru [66]3 years ago
7 0
1. Slope are parallel lines are equal (the same)
y=2x+5, y=2x+7
2. Slope are perpendicular lines are negative reciprocal 
Example, y=2x+5, y=-1/2 x + 7
You might be interested in
Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer,
Valentin [98]

Answer:

See below.

Step-by-step explanation:

Let the smaller integer be n.

Then the larger integer is n + 2.

"When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer."

The correct equation is:

n + 3(n + 2) = 5n - 2

His mistake is not using parentheses on the left side. Since he left out the parentheses, the left side is not "the smaller integer added to three times the larger integer", but rather it is "the smaller integer added to 2 plus 3 times the smaller integer."

n + 3(n + 2) = 5n - 2

n + 3n + 6 = 5n - 2

4n + 6 = 5n - 2

8 = n

n = 8

n + 2 = 10

The integers are 8 and 10.

6 0
2 years ago
Multiply (2x-5)(3x^2-4x+2)
fgiga [73]

Answer:

\large\boxed{(2x-5)(3x^2-4x+2)=6x^3-23x^2+24x-10}

Step-by-step explanation:

\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x-5)(3x^2-4x+2)\\\\=(2x)(3x^2)+(2x)(-4x)+(2x)(2)+(-5)(3x^2)+(-5)(-4x)+(-5)(2)\\\\=6x^3-8x^2+4x-15x^2+20x-10\\\\\text{combine like terms}\\\\=6x^3+(-8x^2-15x^2)+(4x+20x)-10\\\\=6x^3-23x^2+24x-10

7 0
3 years ago
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts
Irina18 [472]

we are given

y=3x^2+7x+m

To find x-intercept means we have to find zeros

and for finding zeros , we will use quadratic formula

and we have it has two x-intercepts

so, it's discriminant must be greater than 0

so, we will find discriminant

D=\sqrt{b^2-4ac}

now, we can compare with

y=ax^2+bx+c

y=3x^2+7x+m

and then we can find a , b and c

a=3,b=7,c=m

now, we can find D

D=\sqrt{7^2-4*3*m}

D=\sqrt{49-12m}

It has two x-intercepts

so,

D=\sqrt{49-12m}>0

now, we can solve for m

49-12m>0

12m

m............Answer

8 0
3 years ago
Read 2 more answers
Select the quadratic that has roots x=8 and x=-5 a x^2 + 3x -40
sergiy2304 [10]
If x = 8, then the factor is (x - 8); likewise, if x = -5, then the factor is (x + 5).  FOIL those together and get B
4 0
3 years ago
HELPPP ME FIND THE LETTER CODE PLEASE I DONT WANNA FAIL SUMMER SCHOOL
Arlecino [84]

Answer:

Ian SomerhalderHappy “3rd” Birthday to our smart, energetic, lively and mischievous Carmelo!!!

In these three short years, this little boy has brought so much joy to all of our lives. The one that makes sure we all get our cardio workout in everyday because of his inquisitive self. I would not have it any other way!! Carmelo, thank you for making us COMPLETE! ❤️ May God bless you every day of your life my son!

3 0
2 years ago
Other questions:
  • A five pound bag of sugar costs $6.00 How much does a 15 pound bag cost?
    8·2 answers
  • Algebra: mrs. Davis spent $120 on lunch for a business meeting. Sandwiches,x, cost $4 and drinks, y, cost $1.50. A) write a func
    5·1 answer
  • What is the solution to the equation<br> 3x+9-7x=2(x+6)
    8·2 answers
  • Solve the problem and specify the units of measure.
    6·2 answers
  • A train is traveling at a consistent speed.
    11·1 answer
  • List 3 values that would make this inequality true 4 + g &gt; 9
    12·1 answer
  • URGENT WILL GIVE BRAINLIEST
    6·1 answer
  • The following data describes weekly gross revenue (), television advertising expenditures (), and newspaper advertising expendit
    6·1 answer
  • 3/7 of the pages in the magazine contain advertisements. Given that 12 pages contains advertisements, work out the number of pag
    12·1 answer
  • 17. A person spends 20% of his income towards
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!