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
svetoff [14.1K]
3 years ago
5

Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x +

10 y = 5x + 10 y = -1/5x + 22/5 y = 1/5x + 28/5 y = -5x - 10
Mathematics
1 answer:
aleksley [76]3 years ago
7 0

Answer:

<h2>y = -5x - 10</h2>

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================

\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10

You might be interested in
I need major help pretty pls this so different
crimeas [40]
First put a bubble around 5x-7. Now you plug that into the problem. -3x-2
(5x-7)=12. now times the -2 by 5x which is -10x. and then times the -2 by -7 which is 14. so now you have -3x-10x+14=-12. add the -3x and -10x. -13x. Add the 14 over. -13x=2. Now dived by -13, which gives us x=-0.15

Now you take that a plug it into the -3x-2y=-12. So that it looks like this -3(-0.15)-2y=-12

Now times the -3 by -0.15 to give us 20 -2y=-12.   Now 'kill' the 20, so that it looks like this -2y=-32. Now you divide by -2 and get y=16. 

Now your ordered pair is (-0.15,16)
7 0
2 years ago
What's the awnser to the one about Isabella
Irina18 [472]
I cant even see the picture clearly

6 0
3 years ago
Let f be an exponential function and g be a logarithmic function.
love history [14]

Good evening ,

______

Answer:

1) (f+g)(1) = e

2) (fg)(1) = 0

3) (3f)(1) = 3e

___________________

Step-by-step explanation:

1) (f+g)(1) = f(1) + g(1) = e¹ + log1 = e + 0 = e.

2) (fg)(1) = f(1) × g(1) = e¹ × log(1) = e¹ × 0 = e × 0 = 0.

3) (3f)(1) = 3×f(1) = 3×e¹ = 3e.

:)

8 0
3 years ago
1. The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an exte
gregori [183]

Answer:

900 g

Step-by-step explanation:

let e be extension and w be weight

given e varies directly as w then the equation relating them is

e = kw ← k is the constant of variation

to find k use the condition w = 150 , e = 2.9 , then

2.9 = 150k ( divide both sides by 150 )

\frac{2.9}{150} = k , that is

k = \frac{29}{1500}

e = \frac{29}{1500} w ← equation of variation

when e = 17.4 , then

17.4 = \frac{29}{1500} w ( multiply both sides by 1500 )

26100 = 29w ( divide both sides by 29 )

900 = w

3 0
2 years ago
What was Mia’s error? 83 + n = 110<br> 83 + 83 + n = 110 + 83 n=193
horrorfan [7]

Answer:

She added 83, instead of subtracting it.

In the second step it shows she adds it. Which is incorrect.

The correct answer is 27

4 0
3 years ago
Read 2 more answers
Other questions:
  • Gi34[gerrvnjr[v f mre]m2mv2nrvrenvdms cd[no3enif]32nqinv21]n]fgj3jrn
    10·2 answers
  • What’s the equation of a line that passes through (-6,5) (-3,-3)
    7·1 answer
  • Consider a game in which player 1 moves first. the set of actions available to player 1 is a1={a,b,c}. after observing the choic
    14·1 answer
  • The driving distance from Alex's house to the museum is 6 7/10 miles. What is the round-trip distance?
    13·2 answers
  • Can someone answer this please!!
    6·1 answer
  • What is the percentage of 7 out of 12 show work
    10·2 answers
  • Did you hear about the two punsters who told a lot of jokes
    9·2 answers
  • ANYONE HELP PLS THIS IS HARD PLSSS
    15·2 answers
  • What is 540 into standard form
    6·1 answer
  • Area of a triangle when b = 6 m and h=7 m
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!