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
Inga [223]
1 year ago
5

for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).

Mathematics
1 answer:
Schach [20]1 year ago
4 0

Answer:

  • k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>
  • 3x - ky + 7 = 0

<h3>Line 2</h3>
  • Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

  • The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

  • <em>standard form is ⇒ ax + by + c = 0, </em>
  • <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

  • 3x - ky + 7 = 0
  • ky = 3x + 7
  • y = (3/k)x + 7/k

Its slope is 3/k.

Find the slope of line 2, using the slope formula:

  • m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

  • (3/k)*(- 6) = - 1
  • - 18/k = - 1
  • k = 18

So when k is 18, the lines are perpendicular.

You might be interested in
What are the coordinates of the vertex of the graph of
vesna_86 [32]
The vertex is (3,0). The 3 inside the abs val bar tells you the x value of the vertex is 3. No number outside the abs value bar is a +0 which is the y value of the vertex.
4 0
2 years ago
Martha filled a bowl with 0.5 cup of flour and 0.75 cup of milk. To the nearest cup, how many cups of ingredients were in the bo
Damm [24]
0.5 + 0.75 = 1.25

1.25 rounds off to 1.
7 0
3 years ago
7 tenths times 10 is another problem that i need help on
Elza [17]
Hi there!

7 tenths times 10 is pretty easy and can be done on a calculator.
7 tenths is 0.7 in standard form.

0.7 × 10 = 7

Because if you think about it...
Tenths is like being dropped down by ten... then you multiply by ten which brings it back up to whole number seven. It may not make sense but that's what it is.

Hope this helps!
8 0
3 years ago
The equation for the line of best fit is y = -3.32x + 97.05.
Tamiku [17]

Answer:

lkjhgdfghkljgftyijhgfdyuijhfdrtydfrtyujhgdrtyujhgyuidftghfujhvftyuhjg

Step-by-step explanation:

uygftyhufdghdtyuiufdyuijhfduifuijkhgfhjkhgfhjhgfyuhjgfyhjbvgfyuhjgftyuhjgfyujhg

hghgghhghgghghjhkhjghjgf

6 0
2 years ago
Read 2 more answers
The manager of a baseball team has 15 players to choose from for his 9 person batting order
Masteriza [31]
Given the question:
The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?
5,005    362,880    3,603,600    1,816,214,400

The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
^nC_r= \frac{n!}{(n-r)!r!}
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
^{15}C_9= \frac{15!}{(15-9)!9!}=\frac{15\times14\times13\times12\times11\times10\times9!}{6!\times9!}= \frac{3,603,600}{720} =5,005

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the domain (-2,9) written as an inequality
    5·1 answer
  • The following data represents the number of blogs that a sample of students state they follow. 12,3,10,9,0,1,8,7,3,10,19
    11·1 answer
  • Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation equals σ=20. Find
    5·1 answer
  • Find the value of x. <br> A. 39<br> B. 21<br> C. 40<br> D. 119
    14·1 answer
  • Choose the correct expansions. Click to select the correct answers. Click again to unselect answers. Leave the incorrect answers
    8·1 answer
  • Can anyone help me out plz and thank you
    9·1 answer
  • Answer:<br><br> 2<br><br> Step-by-step explanation:<br><br> 2+2=2
    13·2 answers
  • Help me please, thank you<br>​
    12·2 answers
  • If there's a three day rain forecast for the probability of rain , 70% Friday, 70% Saturday, 70% Sunday A) work out the probabil
    15·1 answer
  • Solve the system of linear equations by graphing x - 3y = 3 4x + 3y = - 3​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!