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
algol [13]
3 years ago
13

Find the slope of a line perpendicular to 2x-y=16

Mathematics
2 answers:
Lelu [443]3 years ago
8 0

Answer: \dfrac{-1}{2}

Step-by-step explanation:

The standard equation of a line in intercept form is given by :-

y=mx+b, where m is the slope of the line.               (1)

Given equation of a line : 2x-y=16

It can be written as :

y=2x-16

By comparing to the equation (1) , we have

m=2

Also, the product of slopes of two perpendicular lines is -1.

Let p be the slope of the line perpendicular to 2x-y=16, then we have

p\times 2=-1\\\\\Rightarrow\ p=\dfrac{-1}{2}

Hence, the slope of the line perpendicular to 2x-y=16 = \dfrac{-1}{2}

morpeh [17]3 years ago
5 0
The slope would be -1/2
You might be interested in
92.4 is 150% of what number?
Ad libitum [116K]
1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
3 0
4 years ago
Read 2 more answers
How can we tell if a number is divisible by 4
Elza [17]

Answer: You take the last two digits of the original number and see if they are divisible by 4.

Step-by-step explanation: Take your original number and find the last two digits. If they are divisible by 4, then the original number is divisible by 4.

7 0
3 years ago
Read 2 more answers
Converting (x - 4)^2 + y^2 = 16 into polar form
dimulka [17.4K]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

(x - 4)² + y² = 16

Step 02:

polar form:

x = r cos (θ)

y = r sin (θ)

(r cos (θ) - 4 )² + (r sin (θ))² = 16

(r cos θ - 4)² + r² sin² θ = 16

r (r - 8 cos (θ)) = 0

r = 8 cos θ

The answer is:

r = 8 cos θ

8 0
1 year ago
A bag contains 4 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probabi
yawa3891 [41]

Answer:

Step-by-step explanation:

Total marble = 4+6+7 = 17

Number of green = 7

Prob(1st green) = 7/17

Now their are 6 green left and 16 marble

Prob(2nd green) = 6/16 = 3/8

Now their are 5 green left and 15 marble

Prob(3rd green) = 5/15 = 1/3

Prob(1st and 2nd and 3rd green) will be = 7/17 × 3/8 × 1/3

= 7/(17×8)

= 7/136

3 0
3 years ago
Hans wants to earn more than $51 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible num
Flura [38]

Answer:

h ≤ 8

Step-by-step explanation:

Hans charges $7 per hour and pays $5 in equipment fees.

$5 is fixed in this case. Let the possible number of hours be h.

According to question,

Atleast means less than equal to. So,

7h-5≤51

Add 5 to both sides.

7h+5-5 ≤ 51+5

7h ≤ 56

h ≤ 8

So, the number of hours be less than equal to 8.

7 0
3 years ago
Other questions:
  • Expand the polynomial:<br> (5a+1/5 b)^2
    15·2 answers
  • Perform the indicated operation<br>7+9+(4)<br>20<br>20<br>O12<br>O-12​
    15·1 answer
  • A farmer was dividing up his one third of an acre of land between his 5 children. Since each child got the same amount of land,
    10·1 answer
  • In the data set below, which of these points is most likely and outlier?
    7·1 answer
  • Yesterday your bus ride took 10 minutes. Today your bus ride took 12 minutes. What is the percent of change?
    8·2 answers
  • Factor the expression 15 x - 10 x y​
    6·1 answer
  • If 34+5= 36<br>56 +2 = 39<br>27 +6 = 45<br>47 +5 = 48<br>28 +1 = 33<br>then 41 + 5=<br>please help​
    11·1 answer
  • Which equations has w = 8 as the solution? (can be more than one equation)?
    9·1 answer
  • If k(x) = 5x - 6, which<br> expression is equivalent to (k + k)(4)?
    15·2 answers
  • Find the slope of the line through each pair of points
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!