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
Elina [12.6K]
3 years ago
12

g Suppose you are rasterizing a triangle with vertices (1, 1), (5, 1), and (2, 9), and the intensity values (e.g., redness) of t

hose vertices are 5, 9, and 14, respectively. Using the linear interpolation scheme, what is the intensity value of an interior point at (3, 5)? Show all your work.

Mathematics
1 answer:
Ivahew [28]3 years ago
6 0

Answer:

6.333

Step-by-step explanation:

Our triangle vertices are

(1,1)(5,1)(2,9)

We are to perform interpolation at point(3,5)

x and y values are interpolated

On vertices (5,1)(2,9)

x = 3

x1 = 5

X2 = 2

Y1 = 1

Y2 = 9

Formula for interpolation

Y = [y1+(x-x1)(y2-y1)]/x2-x

Y = 1+(3-5)(9-1)/2-5

Y = 1+[-2*8/-3]

Y = 1+16/3

From here we use use LCM to get:

19/3 = 6.333

You might be interested in
Show that an implicit solution of 2x sin2(y) dx − (x2 + 12) cos(y) dy = 0 is given by ln(x2 + 12) + csc(y) = C. Differentiating
natima [27]

Answer:

See explanation

Step-by-step explanation:

Given the equation:

2x\sin (2y)dx-(x^2+12)\cos ydy=0

Separate variables x and y:

2x\sin (2y)dx=(x^2+12)\cos y dy\\ \\\dfrac{2x\sin (2y)dx}{x^2+12}=\cos ydy\ [\text{Divided by non-zero expression }x^2+12]\\ \\\dfrac{2x}{x^2+12}dx=\dfrac{\cos y}{\sin (2y)}dy\ [\text{Divided by }\sin (2y)]\\ \\\dfrac{2x}{x^2+12}dx=\dfrac{\cos y}{2\sin y\cos y}dy\ [\text{Use formula }\sin (2y)=2\sin y\cos y]\\ \\\dfrac{2x}{x^2+12}dx=\dfrac{1}{2\sin y}dy\ [\text{Simplify when }\cos y\neq 0]

Now,

\int \dfrac{2x}{x^2+12}dx=\int \dfrac{1}{2\sin y}dy\\ \\\int \dfrac{d(x^2)}{x^2+12}=\dfrac{1}{2}\int \dfrac{\sin y}{\sin^2 y}dy\\ \\\int \dfrac{d(x^2+12)}{x^2+12}=-\dfrac{1}{2}\int \dfrac{d(\cos y)}{1-\cos^2 y}\\ \\\ln (x^2+12)+C=-\dfrac{1}{2}\int \left(\dfrac{1}{2(1-\cos y)}+\dfrac{1}{2(1+\cos y)}\right)d(\cos y)\\ \\\ln (x^2+12)+C=-\dfrac{1}{4}\int \dfrac{d(\cos y)}{1-\cos y}-\dfrac{1}{4}\int \dfrac{d(\cos y)}{1+\cos y}\\ \\\ln (x^2+12)+C=\dfrac{1}{4}\ln (1-\cos y)-\dfrac{1}{4}\ln (1+\cos y)

\ln (x^2+12)+C=\dfrac{1}{4}\ln \dfrac{1-\cos y}{1+\cos y}

Find the constant solutions, if any, that were lost in the solution of the differential equation:

When

\cos y=0,

then

y=\dfrac{\pi }{2}+\pi k,\ k\in Z

5 0
3 years ago
In a classroom there are 15 boys and 13 girls. One of the girls Samantha moved away. What percent of the classroom are girls aft
julsineya [31]

Answer: 44%

Step-by-step explanation: First, let's add up all the children in the classroom...

15 + 12 = 27

There's 15 boys, therefore have to divide 15 by 27...

15 ÷ 27 = 0.55 x 100 = 55%

Now, let's divided the total amount of girls...

12 ÷ 27 = 0.44 x 100 = 44%

44 + 55 = 99%

The perecent of girls in the classroom are 44%, I hope this helps!

7 0
3 years ago
Five sisters each bought matching scarves and two pairs of socks. The scarves were priced at $12.00. If the total bill for all 5
sveticcg [70]

Answer:

$6.50/per pair of socks

Step-by-step explanation:

12*5=60

125-60=65

65/10=6.50

6 0
3 years ago
If 6:2=8:x, then<br><br> A) 2x = 14<br> B) 2x = 48<br> C) 6x = 10<br> D) 6x = 16
anygoal [31]
6 : 2 = 8 : x 
<span>=> x = 8/ ( 6 /2 ) </span>
<span>=> x = 8/3 </span>
<span>=> 6x = ( 8/3) * 6 = 8 * 2 = 16 
</span>
Answer: D) 6x=16
4 0
4 years ago
Read 2 more answers
Tito's Mom is 38, his father is 42, his sister is 15 he is 13 and has twin
Andrew [12]

Answer:

Step-by-step explanation:

Dad: 42

Mom: 38

Sister: 15

Tito: 13

Twin 1: 6

Twin 2: 6

(15+13)/2 = 28/2= 14 years old

3 0
3 years ago
Other questions:
  • The average verbal sat score for the entire class of entering freshmen is 530. however, if you select a sample of 20 freshmen an
    8·1 answer
  • Please help me i need it
    15·1 answer
  • What does h equal in the equation S=2πr2+2πrh?
    14·1 answer
  • Solve the triangle m&lt;N= 118°, m&lt;P= 33° and m=15. Round to the nearest tenth. Please show work.​
    11·1 answer
  • The output is eleven more then the input
    7·1 answer
  • What is <img src="https://tex.z-dn.net/?f=3%5E2%2A3%5E5" id="TexFormula1" title="3^2*3^5" alt="3^2*3^5" align="absmiddle" class=
    14·2 answers
  • The equation of this line in point-slope form is y -8 = -3/4(x-16). What is the equation of the line written in slope-intercept
    5·2 answers
  • Help! 13 points and brainliest! <br> Question in picture attached
    13·1 answer
  • I need the type of properties​
    9·1 answer
  • If i have a 91% in a class and i got a 78% on a test, and the test is 20% of my grade, what will my grade in the class be once t
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!