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
GREYUIT [131]
3 years ago
8

The graphs of the equation y = 4x + 1 and y - kx = 10 are perpendicular when k = _______?

Mathematics
1 answer:
Ann [662]3 years ago
3 0

Answer:

k=-\frac{1}{4}

Step-by-step explanation:

we have

Line 1

y=4x+1

Equation in slope intercept form

The slope is equal to

m_1=4

Line 2

y-kx=10

y=kx+10

Equation in slope intercept form

The slope is equal to

m_2=k

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

so

m_1*m_2=-1

substitute

(4)(k)=-1

k=-\frac{1}{4}

You might be interested in
Four times a​ number, subtracted from four​, is twice the number. Find the number.
abruzzese [7]

Answer:

\frac{2}{3}

Step-by-step explanation:

let the number be n , then

4 - 4n = 2n ( add 4n to both sides )

4 = 6n ( divide both sides by 6 )

\frac{4}{6} = n

The number is \frac{2}{3}

7 0
3 years ago
Read 2 more answers
Help with 6th grade math!
Naya [18.7K]
I can answer most of them!
4 0
3 years ago
Read 2 more answers
What fraction multiplied by 5 gives you .75
netineya [11]
I believe the answer is 3/2
5 0
2 years ago
A car is driving down I-55 approaching the exit for two cities: Angleton and Bisectorville. Both towns are 3.14 miles to I-55 an
Shtirlitz [24]

Answer:

3.14 mile-55=51.86 miles from the car and exit

i think i help.(sorry if it is not correct)

Step-by-step explanation:

7 0
3 years ago
2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
shepuryov [24]

Answer:

Step-by-step explanation:

\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\

= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}

7 0
2 years ago
Other questions:
  • The total amount of deductions from an employee’s gross pay is $83.20. If the gross pay is $378.18, Give the percentage of their
    15·1 answer
  • Manila walked 4 miles an hour and arrived home in 30 minutes. Her sister ran 6 miles an hour, how long did it take for her to ge
    14·1 answer
  • Ignore my work,I was just seeing if I know how to work the problem.​
    11·1 answer
  • The bright-o-shampoo factory includes 1.078 ounces of vanilla oil in a 6.35 ounce bottle of shampoo. How much of the bottle of s
    12·1 answer
  • The aquarium is 24 inches long and 10 inches wide.The volume of the aquarium is 2,880 cubic inches. How many inches tall is the
    14·2 answers
  • PLEASE HELP!! these triangles are not drawn to scale. Use the Pythagorean Theorem to determine which triangle is a right triangl
    8·1 answer
  • In a 7 horse field what is a box trifecta
    12·2 answers
  • Find the volume of the cylinder. Use 3.14 for π. Round your answer to the nearest tenth.
    9·2 answers
  • A sports expert reports that there is a 0.49 probability that the wally like wizards will win their next games. interpret this s
    10·1 answer
  • Find the volume of this pyramid
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!