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
hichkok12 [17]
2 years ago
15

what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)

Mathematics
1 answer:
miv72 [106K]2 years ago
7 0

Answer:

The equation of the line that is <em>perpendicular</em> to <em>y = 2x + 2</em> is

<em>y = -1/2x</em>

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is <em>2</em>

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

You might be interested in
The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its
tester [92]
Let the angles be A and C 

<span>Complimentary angles, therefor </span>
<span>A + C = 90 </span>

<span>The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees) </span>
<span>C = 1.25A </span>

<span>Substitute </span>
<span>A + 1.25A = 90 </span>
<span>2.25A = 90 </span>
<span>A = 40º <----- </span>
<span>C = 50º <----- </span>
<span>------------------------------ </span>

<span>If you meant 25º </span>
<span>A + (A + 25) = 90 </span>
<span>2A + 25 = 90 </span>
<span>2A = 65 </span>
<span>A = 32.5º </span>
<span>C = 57.5º</span>
3 0
3 years ago
Analyze the diagram below and complete the instructions that follow. find sin angle C
tia_tia [17]

the answer is A ;

sin = opposite/ hypotenuse

= 24/ 26 ( we need to simplify it)

= 12/13

5 0
2 years ago
help The screen in a theatre is 22 ft high and is positioned 10 ft above the floor, which is flat. The first row of seats is 7 f
Stella [2.4K]
 <span>(a.) 
Let's say α is the angle that subtends from the top of the screen to horizontal eye-level. 
Let β be the angle that subtends from the bottom of the screen to horizontal eye-level. 

tanα = (22 + 10 - 4) / x = 28/x 
α = arctan(28/x) 

tanβ = (10 - 4) / x = 6/x 
β = arctan(6/x) 

Ɵ = α - β 
Ɵ = arctan(28/x) - arctan(6/x) 

(b.) 
tanƟ = tan(α - β) = (tanα - tanβ) / (1 + tanα tanβ) 
tanƟ = (28/x - 6/x) / [1 + (28/x)(6/x)] 
tanƟ = (22/x) / [1 + (168/x²)] 
tanƟ = 22x / (x² + 168) 
Ɵ = arctan[22x / (x² + 168)]</span>
4 0
3 years ago
A right square prism has a volume of 75 cubic inches. The prism is enlarged so its height is increased by a factor of 5, but the
kvasek [131]

Answer:

The new volume is 375 cubic inches.

Step-by-step explanation:

Volume of a right square prism:

The volume of a right square prism is given by:

V = a^2h

In which a is the length of the edge and h is the height.

A right square prism has a volume of 75 cubic inches.

This means that:

a^2h = 75

The prism is enlarged so its height is increased by a factor of 5

Edge is the same, height is 5 times. So

a^2(5h) = 5(a^2h) = 5*75 = 375

The new volume is 375 cubic inches.

8 0
2 years ago
-5x + 10x +3 =5x + 6 how many solutions does it have
solong [7]

For this case we must solve the following linear equation:

-5x + 10x + 3 = 5x + 6

Adding similar terms from the left side of the equation:

5x + 3 = 5x + 6

Subtracting5x from both sides of the equation we have:

3 = 6

Thus, equality is not fulfilled. So the equation has no solution.

Answer:

No solution

3 0
3 years ago
Other questions:
  • What is the measure of the indicated arc in radians?
    9·1 answer
  • What does a+b equal if a is equal to 0.6 and b is equal to 1.9
    7·1 answer
  • What is th resulting true inequality ​
    5·1 answer
  • a square has a perimeter of 38 inches.We want to know the length of eacch side choose the best model for this problem
    9·2 answers
  • Factor f(x) = x^4 + x^3 - 8x^2 + 6x +36 completely. Show your work. Then describe what a graph of this function might look like.
    10·1 answer
  • 2(n+5)=-2 step by step plz
    9·1 answer
  • A) Expand and simplify.<br> 7(x - 2) - 2(x - 1)<br> b) Factorise fully.<br> 8x2<br> + 6x
    12·1 answer
  • To compare two products such as colas, a random sample is selected to taste two types of colas (A and B). Each selected subject
    13·1 answer
  • Answer the attachment please <br><br>And subscribe to Offxcial Prxmiise<br>X=8 and y=3
    11·1 answer
  • Bentley's rectangular desktop measures 39 1/2in long and 24 3/4in wide what is the area of his desktop
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!