You can search in google if you want for the "inscribed quadrilateral conjecture"
and if you want... I can give you a quick proof of it
hmmm in short, if you inscribe a quadrilateral polygon in a circle
it will have 4 angles
each pair of opposite angles, are "supplementary angles", or they add up to 180°
so.. that said in yours, R+P = 180 and Q+O = 180 as well
you only need Q
so

solve for "x"
how big is Q? well, 2x + 4 :)
There are 9 zeros in the product.
Answer:
Number is x = -13.5
Step-by-step explanation:
Let the number is x
Given condition:
number divided by three is nine more than the number.
This can be written as:
x/3 = 9 + x
Taking x sides at left of equal will make the signs opposite
x/3 - x = 9
Taking denominators of both terms same (3)
x/3 - x* 3/3 = 9
(x- 3x)/ 3 = 9
-2x/3 =9
Multiplying both sides by -3/2
x = 9*(-3/2)
x = -27/2
x= -13.5
Proof:
Given condition is:
x/3 = 9 + x
Putting value of x
-13.5/3 = 9 + (-13.5)
-4.5 = -4.5
I hope it will help you!
Answer:
(-17, -9) reflected across x-axis.
(-15, -9) ... .... ..... .... .............
(6, 1) reflected across the y axis.
Step-by-step explanation:
In quadrant II the x coordinate is negative and the y coordinate is positive
(-x, y).
Answer:
∫₁⁵ 2t (t² + t³) dt
Step-by-step explanation:
The area is ∫ₓ₁ˣ² y dx. To parameterize, replace x₁ and x₂ with t₁ and t₂. Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.
x = 5 + t², so dx = 2t dt.
∫₁⁵ (t² + t³) (2t dt)
∫₁⁵ 2t (t² + t³) dt