Answer:
Step-by-step explanation:
<u>Given vertices of triangle:</u>
- A(1, 2), B(3, 4), C(5, 0)
<u>The centroid is found as the average of x- and y- coordinates of three vertices:</u>
- C = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)
<u>Substitute the coordinates into formula:</u>
- C = ((1 + 3 + 5)/3, (2 + 4 + 0)/3) = (3, 2)
Correct choice is B
Answer:
11
Step-by-step explanation:
PC=QC=RC
3x+7=51-x
3x+x=51-7
4 x=44
x=11
. Correct option C)5.38
<u>Step-by-step explanation:</u>
Here we have , Find the value of x. O is the center of the circle. Round your answer to the nearest hundredth. picture is attached . Let's find out:
In the given figure , Let's draw a line from center to the point where cord of length 8 unit is touching the circle or intersecting or , where this chord finishes . This line is radius of circle and is denoted by x , So now we have a right angle triangle with dimensions as :
By Pythagoras Theorem ,
⇒ 
⇒ 
⇒ 
⇒ 
⇒
Therefore , . Correct option C)5.38
Answer:
True
Step-by-step explanation:
In similarity triangles, corresponding angles are congruent and corresponding sides are in proportion.
Step-by-step explanation:
You have to do first and second derivatives :
y = a sin 3x + b cos 3x
dy/dx = 3a cos 3x - 3b sin 3x
d²y/dx² = - 9a sin 3x - 9b cos 3x
Next, you have to compare it :
let d²y/dx² = ky,
-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)
-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)
Therefore, k is equals to 9.
