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
Virty [35]
2 years ago
7

Y = 2/3 x -3 y = -3/2 x +2 what statement about the lines are true

Mathematics
1 answer:
Hoochie [10]2 years ago
7 0

Answer:

The product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the lines

y = 2/3 x -3       --- Line 1

y = -3/2x +2      --- Line 2

<u>The slope of line 1</u>

y = 2/3 x -3       --- Line 1

By comparing with the slope-intercept form of the line equation

The slope of line 1 is: m₁ = 2/3

<u>The slope of line 2</u>

y = -3/2x +2      --- Line 2

By comparing with the slope-intercept y = mx+b form of the line equation

The slope of line 2 is: m₂ = -3/2

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = (2/3)(-3/2 )

m₁ × m₂ = -1

Thus, the product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

You might be interested in
9x⁴+6x²...................​
Lubov Fominskaja [6]

Answer:

9x^4=6,561x

6x^2=36x

6561x+36x=6597x

Step-by-step explanation:

9x to the 4th power is just 9x9=81x9 and so on and the same goes for 6 then you just add them. Not Sure if this is the way you needed but feel free to ask anything.

3 0
3 years ago
Read 2 more answers
The area of a circular sun spot is growing at a rate of 1,200 km2/s.
Tpy6a [65]
A)

\bf \textit{area of a circle}\\\\&#10;A=\pi r^2&#10;\\\\\\&#10;\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\&#10;-----------------------------\\\\&#10;\left. \cfrac{dr}{dt}  \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\

B)

\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r&#10;\\\\\\&#10;\left. \cfrac{dr}{dt}  \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}&#10;
8 0
2 years ago
How do you find the area of a compound figure
poizon [28]

Answer: It's easy and simple!

Step-by-step explanation: Split it into rectangles and multiply the height and length. Than add it together and Then you have your answer.

6 0
2 years ago
Read 2 more answers
When a customer wants pie for dessert, you cut whole pies into 7 equal slices. At the end of your shift, 3737 of a cherry pie, 2
matrenka [14]

the answer is 13/7 and here is the correct question

the answer is 13/7 and here is the correct questionwhen a customer wants pie for dessert you cut a whole pies into 7 equal slices...at the end of your shift 3/7 of. a cherry pie.2/7. of an apple pie.3/7 of a peach pie.and 5/7 of a blueberry pie remain...How much pie remains as a fraction of. a whole pie...

Answer:

13/7

Step-by-step explanation:

From the question, we have

3/7 of cherry pie

2/7 of apple pie

3/7 of peach pie

5/7 of blueberry pie

Now we have to add up all of these in order to get the total amount of pie

3/7 + 2/7 +3/7 +5/7

= (3+2+3+5)/7

=13/7

If expressed as a mixed fraction

= 1 6/7

In conclusion, 13/7 pie remains as a fraction of a whole.

4 0
2 years ago
I really need help with this question
allochka39001 [22]

Answer:

Heads

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Whats y=6x-18<br><br>y=4x-10
    10·2 answers
  • Write the numerical expression using exponents.
    11·1 answer
  • (a + b) + 0 = (a + b)
    11·2 answers
  • What is the number of possible outcomes if three quarters are tossed and the total numbers of heads and tails are counted? A) 2
    10·2 answers
  • A pound of turkey costs (3w 8) dollars and a pound of cheese costs (4w-3) dollars.mrs.young bought 2 pounds of turkey and three
    5·1 answer
  • The United States Government used to make coins of many different values. For each coin, states its worth as a percentage of $1.
    12·1 answer
  • PLEASE ANSWER QUICKLY
    14·1 answer
  • Suppose n people, n ≥ 3, play "odd person out" to decide who will buy the next round of refreshments. The n people each flip a f
    13·1 answer
  • What does “B” equal in degrees?
    6·1 answer
  • I need the answer to this algebra question. 4 x 38/12 + 2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!