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
yanalaym [24]
2 years ago
10

The slope of two lines are - 3/2 and 18/a. Determine the value of α that will make the lines:

Mathematics
1 answer:
Yuliya22 [10]2 years ago
5 0

Answer:

a) a=-12

b) a=27

Step-by-step explanation:

a) parallel lines have = slopes SO

-3/2 = -3/2

-3/2 = 18/a

-3a/2 = 18

-3a = 18 * 2 = 36

a = -12

b) perpendicular lines have negative inverse slopes SO

- 3/2 ---> 2/3

2/3 = 18/a

2a/3 = 18

2a = 18 * 3 = 54

a = 54/2 = 27

You might be interested in
A line has gradient 5.
MAVERICK [17]

Answer:

x = k - 3

Step-by-step explanation:

Given parameters:

  Gradient of the line = 5;

Coordinates; M(x, 8)

                       N(k, 23)

Solution:

If we use the expression for finding the slope of the line, we can solve this problem;

     Slope  = \frac{y_{2} - y_{1}  }{x_{2} - x_{1} }

    where

    x₁ = x    y₁ = 8

    x₂ = k    y₂ = 23

Input the parameters:

       5  = \frac{23 - 8}{k -x }

          15 = 5(k - x)

           3= k- x

           k - x = 3

 Express x in terms of k;

          -x = 3 - k

Multiply through by -1;

          x = -3 + k

          x = k - 3

7 0
2 years ago
Ashley and her family ordered a meal that cost $20. Ashley paid 15% sales tax and left a
sammy [17]

Answer:

$26

Step-by-step explanation:

15+15 +30

30% of 20 is 6

add the tax and tip to the initial $20 and you have $26

6 0
3 years ago
Read 2 more answers
Autumn cut out a triangular piece of fabric to sew on her comforter. The area of the triangle is 48 square inches, and the heigh
Step2247 [10]
A=\dfrac{1}{2}ah\\
2A=ah\\
a=\dfrac{2A}{h}\\\\
a=\dfrac{2\cdot48}{12}\\
a=4 \Rightarrow D
8 0
2 years ago
you had $20 at the beginning of the week you worked 10 hours during the week having $70 how much do you earn each hour
Oksana_A [137]

Answer:

You need more deatils, did you work 24 hours per day or 9 hours. my question is how many hours a day did you work?

7 0
2 years ago
An airplane is flying at an altitude of 4000 feet and descends at a rate of 200 per minute. determine whether the altitude is pr
melamori03 [73]
It is porportional because it stays the same,  200 feet per minute
4 0
3 years ago
Read 2 more answers
Other questions:
  • Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensive per pound? how muc
    11·2 answers
  • Long ago, people decided to divide the day into units called hours. They chose 24 as the number of hours in one day. Why is 24 a
    9·1 answer
  • If the domain of the square root function f(x) is x less-than-or-equal-to 7, which statement must be true?
    15·2 answers
  • If f(x)=x-2, which of the following is the inverse of F(x)
    12·2 answers
  • 2x - y = 0<br> 4x - y = 0
    5·2 answers
  • In a circle graph, 36% represents what angle?<br> 1. 33°<br> 2. 130°<br> 3. 95°<br> 4. 65°
    14·2 answers
  • What is the mean of this data? 7,5,5,3,2,2
    15·1 answer
  • Which expression represents the base of the parallelogram
    10·2 answers
  • Y equals 1/3 X +5 through (two, one)
    7·1 answer
  • The equation of the line is ?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!