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
Lostsunrise [7]
1 year ago
5

What is the slope of a line perpendicular to the line whose equation is 2x+3y=21. Fully simplify your answer.

Mathematics
1 answer:
erastova [34]1 year ago
3 0

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

2x+3y=21\implies 3y=-2x+21\implies y=\cfrac{-2x+21}{3} \\\\\\ y=\cfrac{-2x}{3}+\cfrac{21}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

therefore then

\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}

You might be interested in
How do you solve division easly​
nlexa [21]

Answer:

division involves 5 steps:

D Divide

M Multiply

S Subtract

B Bring down

R Repeat or Remainder

Step-by-step explanation: i hope it helped

4 0
3 years ago
(-6,-4), (3,-4) find the slope
V125BC [204]

Answer:

Slope is 9.

Step-by-step explanation: The formula to find slope is m= y2-y1/x2-x1

-6=y1, -4=x1/ 3=y2, -4=x2

3-(-6)/-4-(-4)

=9/0=9

The Slope is 9.

I hope that this has helped, have a good day.

4 0
2 years ago
What is the complete factorization of 36y2 − 1?
ludmilkaskok [199]

Answer:

36y² - 1

Factorize

We have the final answer as

(y -  \frac{1}{6} )(36y + 6)

Hope this helps you

3 0
3 years ago
What’s the vertex of y=1/3(x+2)^2-5
lyudmila [28]

Answer:

vertex is (2,-5)

Step-by-step explanation:

y = a(x – h)^2 + k

the  vertex is (h,k) in the equation h =2 and k = -5

7 0
2 years ago
What is the period of the function y= 3/2 cot(3/5x) +5?
finlep [7]

Answer:

D; 5pi/3 units

Step-by-step explanation:

Here, we want to find the period of the function;

y = 3/2 cot (3/5x) + 5

By definition, the period of a function is the interval between two matching points in the function.

Let’s say it is the distance between two peaks, crests, etc on a function.

To find the value of the period. We shall standardize the function.

What this means is that we shall be writing the function in the standard form.

The standard form is as follows;

f(x) = A trig(Bx -C) + D

Where trig refers to the accompanying trigonometric function in question.

Comparing this standard form with our question, we can see that;

A is 3/2

B is 3/5

C is 0

D is 5

Now for cot and tan functions, we shall need to divide pi by the absolute value of B

Thus we have; pi divided by 3/5 which gives 5pi/3 units

7 0
3 years ago
Other questions:
  • An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
    9·1 answer
  • I need help converting decimals to fractions
    6·2 answers
  • Is this the correct answer?
    13·1 answer
  • Plz help me find it
    11·2 answers
  • Aimi is making Valentine’s Day cards for everyone in her class. She plans to use a whole sheet of paper for each of her 6 closes
    5·1 answer
  • The Porter family budget in the new city is shown in the graph. Of the seven expenses shown, which of the following is fixed?
    9·1 answer
  • The chamber of commerce for a beach town asked a random sample of city-dwellers, "Would you like to live at the beach?” Based on
    13·1 answer
  • Consider the following sets of sample data: A: $36,700, $30,300, $22,800, $27,700, $37,700, $39,800, $27,000, $30,100, $33,900,
    5·1 answer
  • It took Jack 2 hours to paddle 6.4 km upstream on the Black River to the giant's castle. The speed of the river is 1.8 km/h. How
    14·1 answer
  • waiter had 12 tables he was waiting on, with six women and three men at each table. How many total customers did the waiter have
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!