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
zheka24 [161]
3 years ago
10

Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

You might be interested in
12,13,14 help please
PSYCHO15rus [73]
12. 15 (3x5x1)
13.  8  (4x2x1)
14. 18 (6x3x1)

Hope this helps! :D
5 0
3 years ago
Read 2 more answers
for each of the following find, if possible, a whole number that makes the equation true. a. 3+ z=12 b. 36 = 18 + 3 •Z
Basile [38]

Answer:

a. 9

b. 6

Step-by-step explanation:

a. z=12 - 3= 9

b. (36 - 18)/3= Z

6 0
3 years ago
Explain for both problems and tell me the work that comes with it please and thank you
Anton [14]

Problem 33

Use the distributive property on the side containing parentheses of each expression and compare it to the other side.

a) 3(5a + 3) = 15a + 9 not equal to 15a + 6

b) 2(7b - 2) = 14b - 4 not equal to 14b + 4

c) 5(2c + 3) = 10c + 15 not equal to 7c + 8

d) 3(d + 5/3) = 3d + 5 which is equal to 3d + 5

Answer for problem 33: d)

Problem 34

Use a proportion. Let the unknown number of bowls be x. The proportion is made up of two ratios that are set equal to each other. Set each ratio as a ratio of the number of avocados per bowls of guacamole. 3 avocados per 1 bowl (3/1) equals 17 avocados per x bowls (17/x).

\dfrac{3}{1} = \dfrac{17}{x}

3x = 17 \times 1

3x = 17

x = \dfrac{17}{3}

x = 5 \dfrac{2}{3}

Answer: 17/3 full bowls which is the same as 5 2/3 full bowls.

3 0
3 years ago
Which expression would be easier to simplify if you used the associative property to change the grouping? O A. (170 + 30) – 41 O
jekas [21]

Answer:

A.(170+30)-41

Step-by-step explanation:

(170+30)-41=170+(30-41)

200-41=170+(-11)

159=170-11

159=159

3 0
2 years ago
I need helpppppppp!!!
yarga [219]

Answer: i would say probably 3 or -3

I hope it helps

3 0
3 years ago
Other questions:
  • 9. A car has an average speed of 80 km/h for one hour, then an
    13·1 answer
  • PLEASE HELP ME (AGAIN)
    13·2 answers
  • Mark all true statements. Group of answer choices
    8·1 answer
  • A train travels 120 miles in one hour. what is its speed in miles per minute
    14·1 answer
  • A display case of sweaters are marked 3 for $44. If Betty wants to buy 21 sweaters, how much will Betty spend (not including tax
    9·1 answer
  • Find a point on the line that passes through point Z and is perpendicular to line AB.
    8·1 answer
  • The product 1/6 x 3/2 will be less than or greater than 1/6
    7·1 answer
  • Need help ASAP thank you!!!
    15·2 answers
  • Solve the following inequality: -20 < 4- 2x
    8·2 answers
  • Select the correct ans
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!