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
Digiron [165]
3 years ago
13

Determine the value(s) of k such that the system of linear equations has the indicated number of solutions. (Enter your answers

as a comma-separated list.) An infinite number of solutions
9x + ky = 24
kx + y = 8
Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

k=3

Step-by-step explanation:

The given system of equations are

9x+ky=24

kx+y=8

We need to find the value of k if the given system of equation have infinite number of solutions.

If two equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 have infinite number of solutions, then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

Using this we get

\dfrac{9}{k}=\dfrac{k}{1}=\dfrac{-24}{-8}

\dfrac{9}{k}=\dfrac{k}{1}=3

\dfrac{k}{1}=3

k=3

Therefore, the value of k is 3.

You might be interested in
If the area of the right triangle is 72 what is the value of x
wel

36 i guess ha please that not right

8 0
3 years ago
Agora chess club has 16 members and gains a new memeber every month. The key club has 4 members and gains 4 new members every mo
svlad2 [7]

Answer:

For chess club:

y1 = 16 + 1*x where y1=total number of members after x months  

For film club

y2 = 4 + 4*x where y2=total number of members after x months  

y1 = y2 at  

16 + x = 4 + 4x

3x = 12  

x = 4  

Therefore, after 4 months they the same number of members (equals 20 members, 16 + 1*4 or 4 + 4*4).


3 0
3 years ago
Find the measure of the exterior angle X:<br> 125
igomit [66]
Answer: x=80°

Explanation:
To find the exterior angle x we first need to find the last corner angle (a) of the triangle. The angles of triangles add up to 180° so we can use the formula: 25+55+a=180

Solving formula:
25+55+a=180
80+a=180
(Subtract 80 from both sides)
a=100°

Now that we know a=100 we can find the exterior angle. a+x=180 because the angles are on a straight line which equals 180°

a+x=180
100+x=180
(Subtract 100 from both sides)
x=80°

Hope this helps! Please leave a thanks if possible so I can continue to help others :)
5 0
3 years ago
45 points! Please help me ASAP!
zlopas [31]
2 times 10^4 means 2 with 4 zeroes after it or 20000
4 times 10^6=4 with 6 zeros after it or 400000

compare

20000 and 4000000
we can see that 4000000 is 200 times of 20000
therefor the answer is C

we can also do
(4 times 10^6)/(2 times 10^4)=4/2 times (10^6)/(10^4)=2 times 10^2=200


answer is C
8 0
3 years ago
Read 2 more answers
2
GaryK [48]

Answer:

B_2=4\pi r^2

see the explanation

Step-by-step explanation:

we know that

The area of the base of a cylinder is given by the formula

B=\pi r^{2}

where

r is the radius of the circular base

If the radius is doubled

then

r=2r

The new base area is

B_2=\pi (2r)^{2}

B_2=4\pi r^2

so

B_2=4B

therefore

The new area of the base is 4 times the area of the original base

7 0
3 years ago
Other questions:
  • The Chang's neighbor owns a ready-mix company. The company receives an order for 12.5 cubic yards of concrete. This mixture of c
    10·1 answer
  • Solve the equation: log4(x + 20) = 3
    15·2 answers
  • Let u = &lt;-6, 1&gt;, v = &lt;-5, 2&gt;. Find -4u + 2v.
    7·1 answer
  • Dave's dog is 1 decade and 2 years 9months 3days old Dave is half as old as his dog how old is dave​
    15·2 answers
  • I solved this problem : 33 + 45 + 78 how could i check my answer?​
    11·2 answers
  • How do I memorize the unit circle
    15·1 answer
  • Express 0.5401 in scientific notation
    9·1 answer
  • Rewrite each equation below so that it is solved for y.
    5·1 answer
  • PLEASE HELP! GIVING BRAINLIST!!
    12·1 answer
  • Bruno and Amelia have 112 newspapers to deliver. Bruno delivers three fourths of the news papers, Amelia delivers one seventh pf
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!