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
nasty-shy [4]
3 years ago
11

Find the value of k given that the line through (k,2) and (7,0) is perpendicular to the line y=x-28/5

Mathematics
2 answers:
Tanzania [10]3 years ago
5 0
Y = x - 28/5. The slope here is 1. A perpendicular line will have a negative reciprocal slope. So our perpendicular line will have a slope of -1.

slope = (y2 - y1) / (x2 - x1)
(k,2)....x1 = k and y1 = 2
(7,0)...x2 = 7 and y2 = 0
sub
slope = (0 - 2) / (7 - k)
slope = -2 / ?......now if we want the slope to be -1..that means the number where the question mark is has to be 2....for that to happen, k has to be 5...because 7 - 5 = 2.

so ur answer is : k = 5
Alik [6]3 years ago
3 0

Answer:

(5,2) would be the K value for the line.

Step-by-step explanation:

Remember that perpendicular lines have inverse slopes, this means that they have the same number but with different signs, the line y=x-28/5 has a slope of 1 since 1 is the number that is multiplying the x, so the slope of the perpendicular line should be -1.

To calculate the value of K we need to use the formula for slope:

m=\frac{y2-y1}{x2-x1}\\

We insert the values into the formula and clear for K:

m=\frac{y2-y1}{x2-x1}\\m=\frac{0-2}{7-k}\\-1(7-k)=-2\\k=-2+7\\k=5

So now we know that the value of K would be 5.

You might be interested in
Two step equations that equal 14
Marizza181 [45]

Answer:

x=2

Step-by-step explanation:

2x+10=14

2x=14-10

2x=4

x=4/2

x=2

4 0
2 years ago
What is the y-value in the solution to this system of linear equations?
Karolina [17]

Answer:

y = -4

Step-by-step explanation:

Solve the following system:

{4 x + 5 y = -12 | (equation 1)

3 y - 2 x = -16 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{4 x + 5 y = -12 | (equation 1)

0 x+(11 y)/2 = -22 | (equation 2)

Multiply equation 2 by 2/11:

{4 x + 5 y = -12 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{4 x+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 2 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer:  {x = 2 , y = -4

6 0
3 years ago
Read 2 more answers
What is the median of the data set represented by the dot plot?
Butoxors [25]
So ur numbers are : 3,3,4,5,5,5,6,8,8

and the median (middle number) is 5 <==

because 2 dots above the 3 means u have 2 threes....and 1 dot above the 4 means there is 1 four..and so on
6 0
3 years ago
Read 2 more answers
Which of the following is a radical equation?<br> x√3=13<br> x+3√3=13<br> √x+3=13<br> x+3=√13
Shtirlitz [24]
The answer would be: <span>√x+3=13

</span>A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.
The option with √x would be only <span>√x+3=13
</span>
7 0
3 years ago
Read 2 more answers
Hakim invests $700 in a bank that pays 5% simple interest annually. After one year he uses the money in his account to buy a com
ludmilkaskok [199]

Answer:

  $111

Step-by-step explanation:

The bank balance is ...

  $700 × (1 + 0.05) = $735

The cost of the computer is ...

  $750 × (1 -0.20) × (1 +0.04) = $624

The remaining bank balance after paying for the computer is ...

  $735 -624 = $111

_____

When you add a percentage, you effectively multiply by the sum of 1 and that percentage. The same is true if the amount "added" is negative (as for a discounted price).

  (original amount) + (percentage)×(original amount)

Use the distributive property to factor out the original amount:

 = (original amount)×(1 + percentage)

6 0
2 years ago
Other questions:
  • 8 biscuits cost 24p altogether.How much do 5 biscuits cost?
    14·2 answers
  • This is #16. Now #17 says “For question #16, find a value of x that makes lines u and v intersect.” Help me.
    12·1 answer
  • The value of y varies directly with x. When y = 7, x = 2. what is the value of x when y is 21?
    5·1 answer
  • Write a ratio that is equivalent to 13:2, other than 13:2 itself
    13·1 answer
  • In order to officailly bid on a contract, a contractor wants to be 95% confident that his error is less than two hours in estima
    15·1 answer
  • Complete the following problems:
    15·1 answer
  • What is the range of the given function? To bill customers for water usage, one city converts the number of gallons used into un
    11·1 answer
  • eric is flying an airplane at an altitude of 2200 feet. he sees his house on the ground at a 45⁰ angle of depression. what is Er
    6·1 answer
  • Use the working backward method to find the solution of the equation.<br> 6y - 5=7<br> y=____
    15·2 answers
  • Mabel spends 4 hours to edit a 3 minute long video. She edits at a constant rate. How long does Mabel spend to edit a 15 minute
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!