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
oee [108]
1 year ago
7

5. Find the value(s) of x so that the line containing the points (2x + 3, x + 2) and (0, 2) is

Mathematics
1 answer:
Dvinal [7]1 year ago
4 0

Answer:

  x = -2 or -9

Step-by-step explanation:

You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).

<h3>Slope</h3>

The slope of a line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

Using the formula, the slopes of the two lines are ...

  m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)

and

  m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)

<h3>Perpendicular lines</h3>

The slopes of perpendicular lines have product of -1:

  \dfrac{x}{2x+3}\cdot\dfrac{2+3x}{6-x}=-1\\\\x(3x+2)=(2x+3)(x-6)\qquad\text{multiply by $(2x+3)(6-x)$}\\\\3x^2+2x=2x^2-9x-18\qquad\text{eliminate parentheses}\\\\x^2+11x+18=0\qquad\text{put in standard form}\\\\(x+2)(x+9)=0\qquad\text{factor}

<h3>Solutions</h3>

The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.

You might be interested in
Worth 50 points!!! The equation A = r(<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7BC%7D%7B2%7D%20" id="TexFormula1" title=" \f
jasenka [17]
Times both sides by 2
2A=rC
divide both sides by r
C= \frac{2A}{r}
4 0
3 years ago
Which of the following results in the expressions 0.43 times 52 ?
Mariulka [41]
The answer is 43% of 52. So D
5 0
3 years ago
Read 2 more answers
When you have a number with the exponent of ½, you should?
jeka94
1/2 as an exponent means, square root of the number, so when you have a number with the exponent of 1/2, you should find the square root of the number

In short, Your Answer would be Option D

Hope this helps!
7 0
3 years ago
Find the 32nd term of this sequence: <br> 9,4,-1,-6,-11,....
crimeas [40]

Answer:

-146, but I could be wrong, so wait till someone else answers

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Annie works as both a carpenter and a blacksmith. Last week she worked 12 hours as a carpenter and 20 hours as a blacksmith and
Minchanka [31]

Answer:Let x = pay per hour as a carpenter and y = pay per hour as a blacksmith

Last week she worked 12 hours as a carpenter

earning 12x dollars

and 20 hours as a blacksmith

earning 20y dollars

and earned a total of $860

and those two things add up to 860.

Do the same with the other sentence, giving you a second equation.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • 12−(3x+13)=0<br> Someone plz tell me i will mark brainliest
    14·2 answers
  • When using fraction strips ,how do you know that 2 fractions are equivalent
    5·1 answer
  • HEEEEELP AGAIN LOL PLZ PLZ
    15·1 answer
  • A tree stands 22 feet tall and is 382 feet from a building. The tree casts a shadow that is 40 feet long. How tall is the buildi
    8·1 answer
  • Simplify 3a(- 3a+4)- 4(3-2)
    8·1 answer
  • The graphed system represents the rate at which two trucks are being filled, where x represents the time in minutes and y repres
    7·1 answer
  • 2<br> 3<br> 4<br> 5<br> Simplify.<br> (-v2+3v – 7) + (402+5v+6)
    5·1 answer
  • Simplify the expression.
    14·1 answer
  • Help on this question…
    10·1 answer
  • Which relationship has a zero slope?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!