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
irakobra [83]
3 years ago
5

A line passes through point (-6,-5) and has a slope of -3/2 write in Ax+by=c

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

Answer:

-6x+-5y= -3/2

Step-by-step explanation:

Hope this helps

You might be interested in
Carlie’s Cell Phone Store has a gross income of $1,287,684 and deductions of $598,982. What is the federal corporate income tax?
slava [35]
Carlie's Cell Phone Store owes a total of $144,627 in taxes.

1.) $1,287,684 - $598,982 = $688,702
Due to Tax Cuts and Jobs Act of 2017, corporate tax rate is fixed at 21%. Hence:

2.) $688,702 * .21 = $144,627.42 or $144,627
7 0
2 years ago
Part 4: Use the information provided to write the vertex formula of each parabola.
sergey [27]

Answer:  1. x = (y - 2)² + 8

              \bold{2.\quad x=-\dfrac{1}{2}(y-10)^2}+1

               3. y = 2(x +9)² + 7

<u>Step-by-step explanation:</u>

Notes: Vertex form is: y =a(x - h)² + k    or      x =a(y - k)² + h

  • (h, k) is the vertex
  • point of vertex is midpoint of focus and directrix:   \dfrac{focus+directrix}{2}

     \bullet\quad a=\dfrac{1}{4p}

  • p is the distance from the vertex to the focus

1)

focus = \bigg(\dfrac{-31}{4},2\bigg)\qquad directrix: x=\dfrac{-33}{4}\\\\\text{Since directrix is x, then the x-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{-31}{4}+\frac{-33}{4}}{2}=\dfrac{\frac{-64}{4}}{2}=\dfrac{-16}{2}=-8\\\\\text{The y-value of the vertex is given by the focus as: 2}\\\\\text{vertex (h, k)}=(-8,2)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{-31}{4}-\dfrac{-32}{4}=\dfrac{1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{4})}=\dfrac{1}{1}=1

Now, plug in a = 1   and    (h, k) = (-8, 2) into the equation x =a(y - k)² + h

x = (y - 2)² + 8

***************************************************************************************

2)

focus = \bigg(\dfrac{1}{2},10\bigg)\qquad directrix: x=\dfrac{3}{2}\\\\\text{Since directrix is x, then the x-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{1}{2}+\frac{3}{2}}{2}=\dfrac{\frac{4}{2}}{2}=\dfrac{2}{2}=1\\\\\text{The y-value of the vertex is given by the focus as: 10}\\\\\text{vertex (h, k)}=(1,10)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{1}{2}-\dfrac{2}{2}=\dfrac{-1}{2}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{2})}=\dfrac{1}{-2}=-\dfrac{1}{2}

Now, plug in a = -1/2   and    (h, k) = (1, 10) into the equation x =a(y - k)² + h

\bold{x=-\dfrac{1}{2}(y-10)^2}+1

***************************************************************************************

3)

focus = \bigg(-9,\dfrac{57}{8}\bigg)\qquad directrix: y=\dfrac{55}{8}\\\\\text{Since directrix is y, then the y-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{57}{8}+\frac{55}{8}}{2}=\dfrac{\frac{112}{8}}{2}=\dfrac{14}{2}=7\\\\\text{The x-value of the vertex is given by the focus as: -9}\\\\\text{vertex (h, k)}=(-9,7)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{57}{8}-\dfrac{56}{8}=\dfrac{1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{8})}=\dfrac{1}{\frac{1}{2}}=2

Now, plug in a = 2   and    (h, k) = (-9, 7) into the equation y =a(x - h)² + k

y = 2(x +9)² + 7

4 0
3 years ago
Lisa made $201.50 selling 13 of her old video games.
abruzzese [7]

Answer:

Step-by-step explanation:

201.50/13 =p                           201.50/13=15.50 c /u

3 0
3 years ago
Your brother is 1/3 your age. Your sister is 6 years older than your bother. Your sister is 10. Write and solve an equation to f
maksim [4K]
A would be 12. If your sister is 6 years older than your brother your brother is 4

if your brother is 1/3 your age 4 times 3 you are 12
3 0
3 years ago
Read 2 more answers
Y=2x+1 when x increases by 5,y increases by​
Dmitriy789 [7]

Answer:

10

Step-by-step explanation:

say x=0

then y would be 1

increasing x by 5 makes x=5

and then 5 x 2 + 1=11

so y went from 1-11(difference of 10) with the variation

so the answer is 10

3 0
2 years ago
Other questions:
  • By definition, two shapes are congruent if you can map one onto the other using rigid transformations (a sequence of one or more
    12·1 answer
  • Please help me out............
    8·1 answer
  • Please correct my work and show your work if I MESSED up
    13·1 answer
  • Matt bought a new car at a cost of $25,000. The car depreciates approximately 15% of its value each year. What will the car be w
    6·1 answer
  • A playground is in the shape of a square with each side equal to 109 yards. It has skating rinks in the shape of the quadrants o
    5·1 answer
  • X3+6x2-4x-24 factor completely
    12·1 answer
  • 1) Sử dụng phương pháp diện tích chứng minh định lí Pitago: “Trong một tam giác vuông, bình phương cạnh huyền bằng tổng bình phư
    8·1 answer
  • Hi there!i am confused about this equation. Please help to solve this.
    12·1 answer
  • There are 407 students who are enrolled in an introductory Chinese course if there are five boys to every 6 girls how many boys
    12·1 answer
  • Suppose you have a standard deck of 52 cards. What is the probability that if you select a card at random that it does not have
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!