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
Phantasy [73]
3 years ago
5

Find the equatio of the line tht contains the point (5,6) and is perpendicualr to the line 4x+2y=2

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0
--------------------------------------------------------------
Find Slope
--------------------------------------------------------------
4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2

Slope = -2
Perpendicular slope = 1/2

--------------------------------------------------------------
Insert slope into the general equation y = mx + c
--------------------------------------------------------------
y = 1/2x + c

--------------------------------------------------------------
Find y-intercept 
--------------------------------------------------------------
y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2 
c = 7/2

--------------------------------------------------------------
Insert y-intercept into y = 1/2 x + c
--------------------------------------------------------------
y = 1/2 x + 7/2
2y = x + 7

--------------------------------------------------------------
Answer: 2y = x + 7
--------------------------------------------------------------
You might be interested in
I need help with 11 and 12
Yakvenalex [24]

Answer:

Both are inverse pairs  

Step-by-step explanation:

Question 11

g(x)= 4 + \dfrac{8}{5}x

(a) Rename g(x) as y  

y = 4 + \dfrac{8}{5}x

(b) Solve for x :  

\dfrac{8}{5}x = y - 4

(c) Multiply each side by ⅝

x = \dfrac{5}{8}(y - 4) = \dfrac{5}{8}y - \dfrac{5}{2}

(d) Switch x and y  

y = \dfrac{5}{8}x - \dfrac{5}{2}

(e) Rename y as the inverse function  

g^{-1}(x) = \dfrac{5}{8}x - \dfrac{5}{2}

(f) Compare with your function

f(x) = \dfrac{5}{8}x - \dfrac{5}{2}\\\\f(x) = g^{-1}(x)

f(x) and g(x) are inverse functions.

The graphs of inverse functions are reflections of each other across the line y = x.

In the first diagram, the graph of ƒ(x) (blue) is the reflection of g(x) (red) about the line y = x (black)

 

Question 12

h(x)= x - 2

(a) Rename h(x) as y  

y = x - 2

(b) Solve for x:  

x = y + 2

(c) Switch x and y  

y  = x + 2

(e) Rename y as the inverse function  

h⁻¹(x) = x + 2

(f) Compare with your function

f(x) = x + 2

f(x) = h⁻¹(x)

h(x) and ƒ(x) are inverse functions.

The graph of h(x) (blue) reflects ƒ(x) (red) across the line y = x (black).

5 0
3 years ago
Factor, then solve for "x"
bekas [8.4K]
X^2+5x+6=0
(x+3)(x+2)=0
x-3, x-2
8 0
3 years ago
What is the area of yhe following circle?either an exact answer in terms of or use 3.14 for and enter your ansert as a decimal
Harman [31]

Answer and Step-by-step explanation:

If the radius is 5, then we can plug 5 into the area of a circle equation.

A = \pi r^{2}

A = \pi (5)^{2}

A = 25\pi

<u>The area of a circle with radius 5 is 25</u>\pi<u>.</u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

8 0
3 years ago
9×(-1/3)×(-3)×(-1/9)=?​
bulgar [2K]

Answer:

-1

Step-by-step explanation:

7 0
2 years ago
Dhfnfnsngsdbnchfbmfnbmbmhfnc
finlep [7]
4/32 = x/100
answer: x = 12.5

3 0
3 years ago
Other questions:
  • Evaluate x+y when x=-20.3 and y=1.4
    6·2 answers
  • Plz help me with this I have no idea what to do
    5·1 answer
  • What would the adverage be of 12 and 13 if thats possible to find one?
    15·2 answers
  • Solve the quadratic equation by completing the square.<br><br> 4x2 + 8x - 7 = 0
    15·1 answer
  • What should I do ?? how do I do it
    11·2 answers
  • The Elster family drove 9.25 hours on the first day of their road trip. How many minutes is this equivalent to?
    11·1 answer
  • Please provide answer and explanation !!
    9·1 answer
  • Suppose that in a school with 150 total students, there are 10 students who have the flu. Administrators take an
    15·2 answers
  • What is the arc measure of major arc ABC in degrees?
    15·1 answer
  • I need help with b. I am having a brain fart and forgot how to do this!​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!